diff --git "a/data/dm_maths/full_data_2/1657_11255.jsonl" "b/data/dm_maths/full_data_2/1657_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1657_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let f = -0.36 - -4.16. Let q = -3.5 + f. Which is the closest to q? (a) 4 (b) 4\/5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7775, -31106, -69993, -124436?\nAnswer: -194435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3 + 148500576*x**2 - 297001158*x + 148500580 = 0?\nAnswer: -74250290, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:06 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3179*h**2 - 1027*h**2 + 1096*h**2 - 1284*h**2 + h - 5042*h**2 as u*h + n*h**2 + l and give n.\nAnswer: -9436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 515*m**8\/56 - m**7\/21 + 1219*m**4\/6 + 3*m**2\/2 - 18*m + 31. Find the third derivative of d(r) wrt r.\nAnswer: 61800*r**3 - 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + -1. What is the second biggest value in -3, w, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-2 + sqrt(272) - sqrt(272))**2 - (sqrt(612) + (4 + sqrt(612))**2))*-6 + 3)*4 + -5.\nAnswer: 5184*sqrt(17) + 59911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4174500 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 569614*h**5 + 10*h**4 + 13121215*h**2 wrt h?\nAnswer: 34176840*h**2 + 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 176482 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109\/260 + 1\/52. Let n = -7 - -7. Which is smaller: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-4) + (-12)\/6)*302. Let x = h + -759\/5. Let j = 169\/12 + -14. Which is the nearest to 0.1? (a) -3 (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*a - 13 - 14, 5*f = -3*a + 30. Suppose 0 = 4*d + 2*w + 8, -w - 4 = -9*d + a*d. Let b(x) = -3*x - x + d*x + 3. Calculate b(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 120. Calculate the common denominator of -7\/10 and 2\/(-5) - w\/(-40).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123091976?\nAnswer: 2, 7, 691, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5420?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1922 and 744.\nAnswer: 23064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 24*a - 25. Give l(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i\/i**(1\/4))\/i*i)\/i**(1\/24) assuming i is positive.\nAnswer: i**(65\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/12*(-1 + -3). Let d = 20 - 0. Suppose -m - 4*n + d = -0*n, 0 = m + 5*n - 25. Solve 5*j = j + i*g + 2, -3*j - 3*g - 21 = m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2257*a - 609*a - 519*a - 855*a in the form n*a + i and give n.\nAnswer: -4240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.2, -4, -1\/12, -3\/5, 2, -5.\nAnswer: -5, -4, -3\/5, -1\/12, 2, 4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 32 = -24. Solve 7*d = 4*d, j*t = -2*d - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2252933*f**4 + 290*f**2 - 4*f + 218?\nAnswer: 54070392*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82290 by 30.\nAnswer: 2743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 43054, 86039, 129024, 172009?\n\"Answer: 42985*x + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -39982 <= 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -1 + 4*w - 10*w**2 + 4*w**2 - 4*w**3 + 3*w**3. Let j(s) = -s**3 - 6*s**2 + 5*s - 2. Let b(z) = -3*g(z) + 2*j(z). Is b(-5) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1395\/8 - -174. Is r greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 451573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -227 + 263. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.76 + 5.3. Let m = d + -37.04. What is m rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17147.6847 rounded to the nearest one hundred?\nAnswer: 17100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2553, 2932, 3305, 3678, 4057, 4448, 4857, 5290?\nAnswer: 5753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4037\/4 + -100993\/100. Find the common denominator of x and -99\/8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.27 - 2.73. Sort 30\/7, 2, t in ascending order.\nAnswer: t, 2, 30\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1615*k**2 - 211*k**2 - 627*k**2 + 309*k**2.\nAnswer: -2144*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -8 - (2 - 8). Put 3, 0.1, o, -6\/13 in ascending order.\nAnswer: -6\/13, 0.1, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 4:27 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 187*u**2 - 2*u - 57. Is a(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -22) + -240 + 207 + -27 + -1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 0.33 (b) -0.8 (c) 104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*h = 1367 - 1613, 328 = 4*f - 3*h. Calculate the remainder when 308 is divided by f.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*c + 11 - 47 = 61 + 73. Factor -11\/2*k + 1\/2*k**c + 14.\nAnswer: (k - 7)*(k - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2224 + 4365 + 40*j - 2208.\nAnswer: 40*j - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 14*d**2 - d + 1. Suppose f - 4 = -3. Calculate the remainder when 81 is divided by g(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1507, -3010, -4513, -6016, -7519?\n\"Answer: -1503*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/15 - 187434502*p**2\/15 + 749737984*p\/15 - 749737976\/15.\nAnswer: 2*(p - 93717247)*(p - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = -25*o + 6800. Let l be (2 - (1 - 1)) + 38. What is the greatest common factor of l and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1520 is divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 354 = 39 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 112?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g**3. Let z(w) = w**3 - 1. What is n(v) - 6*z(v)?\nAnswer: 2*v**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i = -92. Is 22 a factor of i\/(-2) - (5 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**4 - 10*v - 79*v**2 - 1 + 1 + 75*v**2 to the form n*v + g*v**4 + r*v**2 + j*v**3 + u and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = p + 4*q, -4*q = -3*p + 2 + 2. Sort -6, p, 5, 4 in decreasing order.\nAnswer: 5, 4, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 20 = 5*w. Calculate the remainder when 7 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10\/21 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1759, 10158, 32955, 77350, 150543, 259734?\nAnswer: 412123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-20) - (-11)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b - 33*b = 11. Solve -i + 13 = b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 4*y**2 - 6*y - 3. Let n be q(-5). Let h be (-5)\/15*n\/(-3). Suppose -1 = 4*k - 13, -12 = -3*z - 5*k. Sort -0.5, z, h in increasing order.\nAnswer: z, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**3 + r**2 - 9*r - 6. Let j = 1 + -4. Let b(s) = -5*s**3 + 10*s + 6. Let m(i) = j*b(i) - 4*n(i). Give m(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 6*g - 2. Suppose -5*y - 1 = 19. Let s(p) = p. What is y*s(b) - n(b)?\nAnswer: -b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 2. Let c be x(0). Let r = 2.8 + 1.2. Let d = -9 + r. What is the second biggest value in 1, d, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21048?\nAnswer: 2, 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1453207*k + 1453207*k - 3*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 238 - 168. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 14*f**2 + 5*f + 5. Is 15 a factor of v(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.21, 2\/13, 5, -4, 110591?\nAnswer: 110591","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 13630?\nAnswer: -13630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*((-2)\/10 + 0). Let y = -139\/261 - -9\/29. Is y less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - c?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/5 - 4619*f**2\/5 - 924*f = 0 for f.\nAnswer: -1, 0, 4620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -13*w - 16. Let p be s(-2). Solve -2*q = p, q - 2*q - 5 = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, c: 9, t: 2}. Give prob of sequence ccct.\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2204 = 4*g + 5*b, -2*g + 655 = b - 441. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/(-10) - 10\/(-25). Let m be o\/(2*6\/(-88)). Solve -2*k = -3*b + m, -4*b = b - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - 3. Let i be d(-4). Let p be i + -3 + (257 - -1). Round p to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -67 and 6.4?\nAnswer: -428.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-5) - (-656)\/10. Let g be (1 - p*1) + -2. Is 5 a factor of (-2)\/(-5) + g\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 9*w**2 + 5*w + 30. Calculate l(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 57*y**3 - 2*y**2.\nAnswer: 57*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (408\/77)\/(6\/126*6). Let q = m - 32878\/1793. Find the common denominator of q and -7\/8.\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -4?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpa when three letters picked without replacement from cippooiiipaipppip.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 330874 or 330873?\nAnswer: 330873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -662654+5\nAnswer: -662649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -19, 273, 466 in descending order.\nAnswer: 466, 273, 0, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*l = 138*l - 6250 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 - 1)*(v - 2*v - v + (1 + 2*v - 1)*(1 + 2 - 5)) to the form n*v + s and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(-454 + 16*s + 454) - s + 2 - 2*s + 5*s.\nAnswer: -46*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -4. Is -5 + 3 + 21\/o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 87\/5 of a hour?\nAnswer: 1044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2350510625 to the nearest integer?\nAnswer: 48482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-4))\/(3\/8). Suppose -4*q + 2*a = -2*q - 40, 5*a = 2*q - 55. Suppose 5*n = -j - 0 + 19, -5*j - 5 = 0. Solve -n*k = 20, i*d - 4*d + q = -k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 3\/4, 20, 316, -2\/19?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.104613 millilitres?\nAnswer: 0.001104613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 11*d**5\/20 + d**4\/6 - d**3 + 26*d. Let c(x) = 12*x**3 + 2*x**2 - 7*x. What is -6*c(z) + 7*k(z)?\nAnswer: 5*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - v**2 + 9*v - 8. Let p be f(6). Let m = p + -205. Solve -5*q - 2*w = -6*w - m, -4*q + 8 = -w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 38. Let h be (-1 - o\/(-44)) + 1. Let 0 - 2\/11*j**2 + h*j = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -902 - 261*d + 1805 - 903 to the form p*d + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -283\/12 - -677\/60. Let v = 5767\/2 - 2842. What is the common denominator of v and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qeeq when four letters picked without replacement from {q: 5, e: 5}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdjpdddkrjdpjdprprdd. What is prob of picking 1 k, 1 p, and 2 d?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 85821 and 23313740.7?\nAnswer: 23227919.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**14\/c)\/(c*c*c*c**(-3)*c*c*c) assuming c is positive.\nAnswer: c**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 7*j + 4 = -3*j, 0 = -4*u + 2*j - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrww when four letters picked without replacement from {p: 2, s: 2, w: 7, c: 1, r: 7}?\nAnswer: 49\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -20360 at least as big as -20361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -13*u**2 - 3*u - 8. Let a(y) = 7*y**2 + y + 4. Let n(i) = -11*a(i) - 6*h(i). Let c be n(-7). Solve c*z - 2 = -6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (378\/35 + (-2)\/1)*5. Let t = u - 32. Suppose t = 15*i - 11*i. Solve -z + i = -0*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(30)*-5)\/sqrt(10) - (3 + sqrt(48))).\nAnswer: -9*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = j - 5*r, 0*r - 18 = -2*j - 4*r. Suppose -5*q + 2 = 4*v, -q + j = 4*v - 1. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 594, 0.043, 6\/5, -12.4 in decreasing order.\nAnswer: 594, 6\/5, 0.043, -12.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -5822125?\nAnswer: 5822124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/25725242 and -23\/20.\nAnswer: 257252420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 8 - 2, 0 = 4*b - 2*y + 6. Suppose b*h = 5*h - 25. Suppose 0 = -5*t - n + 3*n - 10, t + h*n - 25 = 0. Is t less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 12284244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.051 + -19.551. Let o = 15 + x. Let h = -4 - o. Which is the closest to 0.1? (a) 3\/4 (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60311 * -0.2.\nAnswer: 12062.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 21*f - 120*f + 16 + f**2 + 8 + 119*f. Calculate u(-18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = -9. Let b(n) = -13*n + 6. Let s(w) = -6*w + 3. Let h(u) = -4*b(u) + 9*s(u). Let f be h(j). Calculate the greatest common factor of f and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*d**2 + 5*d + 919.\nAnswer: -54*d + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 321197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g + 459 = 27*g. What is the units digit of 17\/(g\/4770) - (-2)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0694 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 133891*w**2 + 219*w - 47. Let c be s(-33). Suppose 6*z = 11*z + 5*b - c, 2*z - 58319995 = b. Round z to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-11 + (-72)\/(-8)). Let b(r) = -2*r**2 - r - 1. Let g be b(3). Let i = g + 34. Solve 6 = -3*c, -3*c = y*z + c - i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2663 - 2035. Let c(g) = -g**3 + 9*g**2 - 5*g - 3. Calculate the remainder when u is divided by c(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10553, 21103, 31653?\nAnswer: 42203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a. Let f(p) = -6010*p. What is f(d(l))?\nAnswer: 12020*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391451 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102865 and 27938134.\nAnswer: 139690670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -22121827 divided by -4\nAnswer: 22121827\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 12:11 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = -3*t. Let v be -27*(t + 2)*-4. Let k = v - 74. What is the remainder when k is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*b**3 - 89*b**3 + 28*b**3 + 20*b**3.\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2049905581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.96589118 to two dps.\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40427 (base 9) in base 2?\nAnswer: 110011111100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(-5 + sqrt(931)))**2*-3 - (-4 + sqrt(931) + 1)*-1*6.\nAnswer: -11491 + 882*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6078 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**4 - 316365*o**3 + 5693490*o**2 - 34158780*o + 68315400 = 0.\nAnswer: 6, 63255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -632*x + 485?\nAnswer: -632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92109506.\nAnswer: 2, 131, 351563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/13 (b) -0.2 (c) 1\/4 (d) 1787\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.06 + 4.28. Let l = -134.78 - v. Let u = l - -141. Which is the closest to -2\/7? (a) 2\/5 (b) 19 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 7)*1 - (4 + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**5\/5 - 1131*n**2\/2 - 858. Find the second derivative of c(h) wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 29, 0.05, 2, 0, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*n + 6, 7*o - 2*o + 2*n = 15. Suppose o*p = -0*p + 60. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-18)\/m**6 assuming m is positive.\nAnswer: m**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37646 + 37728.916. Let y = i - 83. What is y rounded to three dps?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(18\/13)*a**(-2\/29)\/a)**(12\/13) assuming a is positive.\nAnswer: a**(5952\/4901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-49*y - 41*y - y)*(-2*y + 13*y + 8*y) to v*y + c + r*y**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1202 - -1203. Solve 4 = i + d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/6822 and -71\/3790.\nAnswer: 34110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 220. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31217292*r**2 + 4437533*r + 18 wrt r.\nAnswer: 62434584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4083 - 4082. Which is the third smallest value? (a) 160 (b) u (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 290.953 - -19.047. What is the biggest value in i, 4, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 0 = 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 211 and 543747?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 913603.\nAnswer: -182720.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**4\/4 + 4*b**3 - 3*b**2\/2 + 6*b - 187. What is v(12)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1 + -6 + -50 + 11666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*q**4*z**2 + 8*q**3*z**2 + q**2*z**2 - 204*q*z**2 wrt q?\nAnswer: 1416*q*z**2 + 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.47435 - -0.004.\nAnswer: -14.47035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, x: 6}. Give prob of sequence xexe.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/525 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from ittzizepzrtt.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 3:39 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 + 73. What is the closest to -3 in 0.5, 2\/19, v?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182317253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 17, -0.4, 0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27929024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114697849 to the nearest integer?\nAnswer: 10710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -p + 4. Let i be (2\/(-6))\/(p\/801). Let u = -64 - i. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*x - 107 - 134, -x + 4*f + 71 = 0. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37104 - -20784. Round r to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.3 and 6198002 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23898, 47794, 71690, 95586, 119482?\n\"Answer: 23896*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4*3)\/(9\/84). Calculate the highest common divisor of 140 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**5\/60 - y**4\/4 - 7*y**2. Let h be j(6). Let o = 1 + h. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 191844*s**3 + 511*s. Let t(v) = -2257*v**3 - 6*v. What is 511*t(n) + 6*u(n)?\nAnswer: -2263*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1309 and 12255936?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqszstqsqt. What is prob of picking 1 t and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1180630021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 16706.\nAnswer: -16706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24236, -23433, -22076, -20165, -17700?\n\"Answer: 277*x**2 - 28*x - 24485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -362, -359, -354, -347, -338?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 477 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25616*t - 8538*t - 8539*t - 8551*t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*m + 5, -4*v = -5*m + 21. Let j be 2\/(-2)*-7*v. Let t(n) = -n + j + 4*n - 5*n. What is t(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.4 + 6. Suppose 4*f = 5*g + 12, 38*g - 3*f + 10 = 34*g. Which is the nearest to 1? (a) g (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003202 rounded to seven decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7813 - 7808. Let p(z) = -3*z**2 + 5*z + 7. What is p(k)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5)\/(20\/500*5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 - 1)\/((-2)\/4). Solve -2*t + 20 = -4*j, 2*t - 6 + x = -2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 125*q + 31. Let v(w) = -w**3 + 9*w**2 + 3*w - 22. Let n be v(9). What is the units digit of z(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*w + 7*o - 2*o, -4*w - 36 = -4*o. Sort 3, w, 4, 2.\nAnswer: w, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25784*c + c**2 + 25784*c - 9)*(-2*c + 1 - 1) to j*c + i*c**3 + o + x*c**2 and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1 (c) -2\/7 (d) -390\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 6 - 13\/2*c**2 + 9\/2*c**3 - 1\/2*c**5 + 1\/2*c**4 - 4*c = 0?\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118894294.\nAnswer: 2, 17, 1867, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.59 - -28.8. Let l = v - 2.88. What is l rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3491 + -129165\/37. Which is the closest to r? (a) -3\/8 (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21, 25, 29, 33, 37?\n\"Answer: 4*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.6 - -32. Put 3, w, -7 in increasing order.\nAnswer: -7, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30997028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 0*l**3 + 0*l**3 - 6*l + 8*l**2 - 2 + 0*l. Let w be p(7). Let x = -5.6 + 0.6. Which is the closest to -1? (a) w (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**2 + 0*g**2 + g**4 + 602*g - 413*g**5 + 191*g**5 - 23*g**3 - 2 + 33*g**3 wrt g.\nAnswer: -13320*g**2 + 24*g + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46379 - -370293\/8. Let y = -95 - m. What is the common denominator of 29\/7 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -8) + -4 + -2 + 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35065 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: Let n(g) = -g**3 - 9*g**2 - 9*g + 10. Calculate the remainder when n(-8) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*m**5 - 2475*m**4\/2 + 4956*m**3 - 14247*m**2\/2 + 3102*m + 234 = 0. What is m?\nAnswer: -3\/46, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1948192 to the power of 1\/2, to the nearest integer?\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 6*n**2 + n - 6. Let y be k(6). Suppose -z = -y*z - 6. Let m(p) = p**2 - 7*p + 9. Let b be m(z). Solve 2*t = -h - 8, b*h - 1 = 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 4*b - 5. List the prime factors of o(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -1 - ((16 - 21) + 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/((-210)\/160))\/((4\/(-30))\/(124\/(-310))).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1 + 1 - 5*s + s + 2*s**2. Let y be r(2). Solve -y*j = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v + 13*v + 38*v.\nAnswer: 42*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39594 = 37*n + 40408 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 - 78*o + 637. Give d(-48).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.59 - 2.6767. Let i = s + 0.082. What is i rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 14, i: 5}. Give prob of picking 2 i.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10.443 in -0.13, -1, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 7. Let l be q(5). Let j = -2653 + 2659. Find the first derivative of -25*s**3 - 28*s**2 + 48*s**2 - 20*s**l + j wrt s.\nAnswer: -75*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*h + 9, 21*h - 19*h + 10 = -3*o. Which is smaller: -245 or h?\nAnswer: -245","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 - (-4)\/(-6). Let y(h) = -1. Let g(d) = -d**2 - 2. Let z(t) = b*g(t) + 2*y(t). What is the units digit of z(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**39*a**7)**38 assuming a is positive.\nAnswer: a**1786","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 444694 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (48\/36)\/((-1)\/(-30)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, -5, 5, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 20366.05 to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 20 (b) -8.7 (c) 52 (d) -3 (e) -4 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-10 + 0 + 1)*(-1 + 4 - 2) + 4 - 5 - 2)*(0 - 1 + 2)*(n + n - 5*n) as r + c*n and give c.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -10*o**2 - 1. Let q(d) = -138*d**2 + 17. Let p(h) = -49*h**2 + 6. Let v(m) = 17*p(m) - 6*q(m). What is t(v(a))?\nAnswer: -250*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2\/7 (c) -7 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -313 - -359 - (-11 + 77)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*t - 40 = 3*v, -4*v - 25 = t. Let q = -394 + 393.5. Let r be ((-2)\/18)\/((-3)\/9). Sort v, r, q.\nAnswer: v, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2084092.\nAnswer: 2, 521023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 11738677 and 11738677 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 10) to base 15\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 359*s**2 - 52*s + 396. Is y(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2735 + 5\nAnswer: 2740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*m**2 - m**2 - 2*m**2 + (6 - 6 - 3*m)*(5*m + 0*m - 2*m) + (4*m**2 - 5*m**2 + 2*m**2)*(2 - 4 + 0).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -201 + 220.5. Let m = n - 21.2. Which is greater: m or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - 144 - -29)\/(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -2\/19, 0.3, -0.3, 0.22 in decreasing order.\nAnswer: 4\/5, 0.3, 0.22, -2\/19, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.36 and -0.27.\nAnswer: -0.6372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155415339*s**3 + 1124*s - 3024.\nAnswer: 932492034*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*d = 43375, 8*d + 57908 = 4*o + 4*d. What are the prime factors of o?\nAnswer: 3, 7, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -1\/98, -2, 2, 3, 69 in increasing order.\nAnswer: -2, -2\/13, -1\/98, 2, 3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 377*v**3 - 1. Let j be g(1). Suppose s = 3*y + 101, -4*s + 5*y + j = -0*y. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 56*y**2 + 4*y - 211. Determine o(56).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180473, -360962, -541451, -721940, -902429, -1082918?\nAnswer: -1263407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6963 is divided by 461?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l\/l**(4\/3)))\/l)\/l)\/l*l\/l**5)**37*(l**(-5)\/l*l)\/(l\/l**8)*(l*l**0*l)**(-49) assuming l is positive.\nAnswer: l**(-917\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 6408.\nAnswer: -6405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*b = 4, 299*x - b + 5 = 296*x. Let q(y) = -9*y + 2. Let s(f) be the first derivative of -9*f**2\/2 + 3*f - 8. What is x*q(h) + 2*s(h)?\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12 - 8 = 0. Let b(f) = 3 + 1 + 0*f**2 + 6*f + d*f**2. Let g(h) = h + 7. Let k be g(-14). Let l(w) = 6*w**2 + 7*w + 5. Determine k*b(j) + 6*l(j).\nAnswer: j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 8. Let y be c(-5). Suppose u - 2*f + 3 = -4*f, -2*u - f + 3 = 0. Determine j so that j**4 - u*j**4 + 2 - y + 2*j**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(6\/22) + -1. Let n be ((-2)\/(-10))\/(h\/15). Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 83*y + 24 - 145. Let t(d) be the third derivative of -1\/12*d**4 + 0*d + 0 + 18*d**y - 1\/2*d**3. What is t(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 5:28 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166 divided by -4?\nAnswer: -583\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 539*m**2 - 1388*m**2 - 2 + 243*m**2.\nAnswer: -606*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 46, 2 in ascending order.\nAnswer: -2, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -112 + 27?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, g: 1, r: 1, d: 2}. What is prob of sequence rgld?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*o - 44 = 4, -2*o = -6. Solve -l = -0*b + 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ugluluuugluuluulul. Give prob of sequence luul.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 1. Suppose 0 = 4*w - 0*w - 28. Let h = 7 - w. Which is smaller: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1154447, -1154448, -1154449, -1154450, -1154451, -1154452?\nAnswer: -1154453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, -3, -71, -0.103, -64, -0.5?\nAnswer: -0.103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 1495 = 5*o + 2*r, -4*o - 3*r + 1161 = 0. What are the prime factors of o?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279145316 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 508464 and 19656.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j - 9. Let t be z(-6). Is ((-70)\/(-21))\/((-2)\/t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*g**2*u + 3*d*g**2 + 3*d*g - 4*d*u + 2*d - 22*g**2*u + g wrt g.\nAnswer: -4*d*u + 6*d - 44*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 51+1\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 731 - 2055. What is the units digit of w\/(-14) + (-44)\/77?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2834416*b**3 + 2*b**2 - 26081*b + 2 wrt b.\nAnswer: -17006496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8081085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0 - 1\/60*w**5 + 0*w - 19\/6*w**3 - 2\/3*w**4 + 10*w**2. Let x be a(-13). What is x rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1692 is divided by 542?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117212791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 9:44 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 63 - 0?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u + 2. Let k be u\/((-4)\/(4 - 28)). Suppose -4*y = -14 + k. Solve 0 = y*i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 17 - 23 = 0. Let i = o + -161. Let l = 214 + i. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0.4, -6, 1, 78?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q + 4*q + 0*q)*(6*q - 3*q - q + 0*q + 2*q - 3*q + (0 - 2 + 3)*(2*q + 0 + 0)).\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*r**2 - 75 + 8 + 4*r**2 - 41*r**2 with respect to r.\nAnswer: -154*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-24))\/o*o**(2\/17) assuming o is positive.\nAnswer: o**(-406\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z + z + 8*z - z - z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**4\/8 - o**3\/2 - 87*o - 34. Let v(y) be the first derivative of q(y). Factor v(s).\nAnswer: -3*s*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 1640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.6327 tonnes in milligrams?\nAnswer: 215632700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -12*n + 65. Let w(d) = -6*d + 33. Let g(a) = 3*h(a) - 5*w(a). Let m be g(5). Factor 0*t + m - 2\/5*t**4 - 4\/5*t**3 - 2\/5*t**2.\nAnswer: -2*t**2*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Suppose 4*m = -g*k - 12, 0*m - 28 = -2*k + 4*m. Solve k*h + 2*n + 27 = -3*n, 12 = -4*n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.1 take away -13?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1426*0.3.\nAnswer: -0.04278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -8*m + 31, 7*m + 716 = -5*r + 347 + 368 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -437*n - 3. Let l(x) = 217*x + 2. Let b(w) = -2*d(w) - 5*l(w). Differentiate b(z) with respect to z.\nAnswer: -211","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/87 and 5\/77?\nAnswer: 6699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -951 + 3773\/4. Suppose -4*i - 5 - 35 = -4*r, 0 = 4*i - 3*r + 40. Calculate the common denominator of q and 30\/14 + i\/(-35).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times 2022677?\nAnswer: -42476217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 5 + 5)*(0 + 0 + 2*w**2) - w**3 + 4*w**3 + 0*w**3.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6872570587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**5\/p)\/p)**(1\/7)\/(p\/p**(-13)*p*p*p\/(p**17*p)) assuming p is positive.\nAnswer: p**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106269\/20 - -5311. Find the common denominator of (-14)\/(33600\/(-10925)) + (-21)\/9 and f.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12 - -11) + (-1)\/(-3). What is the smallest value in 5, 3.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 66 = -71*t, -3*m = -0*m - 6*t + 3*t - t + 66 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 147, 283, 405, 507, 583, 627, 633?\n\"Answer: -m**3 - m**2 + 146*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 433 divide 78373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 2. Let m be f(-6). Suppose 0 = -4*c - m*l + 8, 3*c + 0*c - 2*l = 11. Suppose -1\/4*u**c + 1\/4 + 1\/4*u - 1\/4*u**2 = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -146 - 21*g + 148 - 15*g as w + z*g and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is a67d9 (base 15) in base 5?\nAnswer: 113401104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 + -757\/9. Let u = -2324\/3 + 775. Which is the nearest to u? (a) k (b) -0.1 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9301\/3 - 3100. Let t = 6 - 5.6. Put t, x, 2\/71 in decreasing order.\nAnswer: t, x, 2\/71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -392737536 by -663408.\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -234, -367?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5265 divided by 585.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 10551 and 8113672\/769 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4101*u**2 - 4999?\nAnswer: -8202*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31876, -32143, -32892, -34363, -36796, -40431, -45508?\nAnswer: -52267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nng when three letters picked without replacement from ivnvng?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 4*a + 2. Let d be f(-2). Let g be 64000*(69\/(-12) - d). What is g rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492736467.\nAnswer: 3, 61, 2692549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -242*d + 3. Let k(v) = 726*v - 10. Determine -16*j(i) - 5*k(i).\nAnswer: 242*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 0*1\/3. Suppose -3*x - 132 = -g*x. What is the tens digit of ((-2)\/(-4))\/((-2)\/x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1194*c**2 - 63517*c + 63517*c.\nAnswer: 1194*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2. Let r(n) be the first derivative of 2 + n**2 + n**2 - 4 - 2. Calculate r(k(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 43884 = 45*h. What are the prime factors of h?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f - 3*f - 1 + 3*f)*((1 - 4 + 2)*(f + 0*f - 3*f) - f - f - f) in the form k*f + a + p*f**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 101*v - 154*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 4*f**2 - 4*f + 7. Let t be a(-5). Sort t, -5, -2.\nAnswer: -5, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/4272 and 97\/18120.\nAnswer: 3225360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 + 8726*p\/5 - 3642624.\nAnswer: -(p - 5270)*(p - 3456)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 - 3*b. Let a be r(1). Let o = 12 + a. What is the remainder when 4\/14 + 152\/7 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111101000 (base 2) to base 14.\nAnswer: a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*j**2 + 555*j**2 - 130*j**2.\nAnswer: 188*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -211?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(25\/(-5))*4\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -16*c**3 - 27*c**2 - 24*c - 85. Let m be x(35). What is m rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1744, 1748, 1752, 1756, 1760?\nAnswer: 1764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -72 + 1 + 0. Let w = -49 - m. Let d = 44 - w. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 10*g**2 - g - 23. Let a(r) = -r - 3. Let v be a(7). Let t be j(v). What is the tens digit of t\/((-1)\/8*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20772 - -581545\/28. Calculate the common denominator of m and -27\/10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, a: 9, d: 1, c: 1}. Give prob of picking 2 x and 1 d.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 10 = -m - 0*m, 0 = 4*o - 2*m + 10. Let j be 2\/2 + 8\/(-10). Put j, o, 1 in increasing order.\nAnswer: o, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5. Let n(a) = a**2 + 2 + 0*a**2 - 5*a + f*a. Let j be (-18)\/(-4) + (-1)\/(-2). Calculate n(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*x + 1, -4*x = k + 9 + 1. Suppose -w - 5*c - 6919985 = 0, -4*w + k*c = 7*c + 27679985. What is w rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.05 - 5. Let q = 0.25 + -0.15. Let m = q - 0.1. Which is the second smallest value? (a) m (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 23309 = q - 6663, 0 = o + 2*q + 5542. Let m = o + 8363. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9946\/(-624) - (-23 - -7) and 55\/144?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 219*m - 82983. Give o(380).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*y - 155*y + 69*y - 342 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2, -2.4, -37, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -54. Let f be y\/18 - 644\/(-414). Solve 4*v - 8 - 2 = -f*c, -2*v + 2*c = -20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169574?\nAnswer: 2, 84787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -13, -6, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -160*n**2*r*w**2 + n**2*r*w - 2*n**2*w**2 + 101*n**2*w - 3*n*w + 4*r*w wrt w?\nAnswer: -320*n**2*r - 4*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9\/16 of a day?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 21*u - 10. Suppose -6*c = 30 + 30. Let q be d(c). Let h = q - -1361. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 8*v**2 - 3*v + 35. Suppose 12 = -2*h + 28. Let m(x) = 3*x + 1. Calculate the remainder when d(h) is divided by m(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3786846 to the nearest integer?\nAnswer: 1946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2743 is divided by 135?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 104*x. Let k(y) = -2*y. Give k(o(v)).\nAnswer: -208*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 7) to base 5.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 5*k - 14, 6*k - 20 = -2*y + 8*k for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*i - 16 = 3*i, 4*a - 32 = i. What is the lowest common multiple of 8 and 90\/a - (-2)\/(-8)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 5, -5*h + 0*c + 8 = -2*c. What is the third derivative of 81*a**5 - 18*a + 0*a**4 + 23*a**2 - a**4 - 20*a**h wrt a?\nAnswer: 4860*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**4 - 18470*w**3 + 657655*w**2 + 2870930*w + 2194800 = 0. What is w?\nAnswer: -3, -1, 40, 3658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4\/3 + 2971*h**3\/3 - 2225881*h**2\/3 + 9465107*h + 10208058 = 0. What is h?\nAnswer: -1, 14, 1479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - -3*sqrt(44)) + sqrt(11) + (sqrt(77) - sqrt(77)*2)\/sqrt(7).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -4. Suppose -6*b = -16*b + 170. Suppose -8*i = b - 41. Solve 0 = -2*z - i*z - w*g + 5, -z - 2*g = 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/8 or 2458592?\nAnswer: 2458592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*w - 91*w**3 + 2*w + 94*w**3 + (-2*w**2 - 2*w**2 + 3*w**2)*(w + 2*w - 4*w) in the form h*w + q*w**2 + r + y*w**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1424*q = -1427*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/50 of a millisecond?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.24 times 0.5?\nAnswer: -5.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzp when three letters picked without replacement from {y: 2, z: 14, p: 1}?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3080)\/21*(-3)\/2. Suppose -5*r = -0*r - m. What is the greatest common factor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - g = 3*g - 8, 5*i + g = -53. Let x be (-12)\/(-20) - 144\/i. Suppose 0 = -2*f + 2*l + 14, -10*l = -9*l + 4. Solve -x = f*h + 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -54, -3.5, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/7 (b) -4 (c) 0.3 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -15. Suppose 5*b + 4*w = -w - 10, 5*b - 3*w = -t. Is -3 - (332\/(-4) - b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*g - 38 = m, -g - 19 = -4*m. What is the lowest common multiple of 22 + -1 - (0 - 0) and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + v + 1. Let m(b) = -537*b**2 + 1611*b**2 - 3 - 3*b - 538*b**2 - 534*b**2. Give -3*m(z) - 5*u(z).\nAnswer: -z**2 + 4*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194 - 2*a**3 - 2*a + 10*a**3 - 193 to the form y + i*a**3 + z*a**2 + v*a and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -611 or -603?\nAnswer: -611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m - 5*p - 8 = 18*m, 4*p = 5*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1281 - 1276. Solve 0 = 4*p - a*o + 17, 4*p + 3*o = -0*o - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1134.698 - -1136. Round n to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14309 - 14271. Calculate the remainder when 454 is divided by m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30297 or 33?\nAnswer: 30297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 861823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.072 * 0.063.\nAnswer: 0.004536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/850 (b) 1 (c) -2\/87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5560.27 rounded to the nearest one hundred?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (90 - (106 + 12)) + (54 - 1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9*2\/(-18) + (-122)\/32 and 19\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*r**2 + 27*r**2 + 21*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 + -86.6. Let j = k + -22.4. Let i = j - -17. Do i and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = 9*o - 882. Let r = 58 + o. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-8)\/(-4))\/(-1)*130\/20).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.3, 3, 32, -1\/8, 123, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/13170?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198296.\nAnswer: 2, 7, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.1306?\nAnswer: 0.01306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r = 15*r - 56. Let g = -5 - r. Solve 0 = -3*t + 5*t + g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 - 17. Let u = m + -35. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 23. Is 2*(-2842)\/y - 4\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0026 * -21.\nAnswer: 0.0546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 - 69566730.\nAnswer: -69566729.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/(2\/572). Let a be ((-324)\/p - 0)*31. Let y = 250\/13 - a. What is the common denominator of y and 38\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -66603 or -66598?\nAnswer: -66598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21 (b) -0.101 (c) -402 (d) -16 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2717, -5433, -8149, -10865?\nAnswer: -13581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 8:25 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.135 + 98.135. Let k = -98.0174 + z. What is k rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjwwjwl. What is prob of sequence wjlw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1011101101?\nAnswer: -1011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 39216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f - 4. Let r be 25\/10 - f\/(-4). Let y be 2*(4 + 25) - r. What is the highest common divisor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 29*f + 30. Let u(c) = c - 12. Let q be u(16). Let k(b) = 5*b**2 - 115*b - 120. Let d(a) = q*k(a) + 15*z(a). Factor d(n).\nAnswer: 5*(n - 6)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1391\/5 + -278. Which is the third smallest value? (a) 71 (b) -2\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/6 - 143653*n\/2 + 430965.\nAnswer: -(n - 6)*(n + 430965)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -41365525?\nAnswer: -41365531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -29 + -2 - (504 - 515)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1551137.\nAnswer: 7, 71, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q**4 + 412*q**3 - 1088*q**2 + 368*q = 0. Calculate q.\nAnswer: -23, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 4 = -2*u, 3*w + 4*u - 10226 = -10223 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k + 0*k - 3*k - 7*k. Let b(u) = -4*u + 3. Let i be b(-3). Let v(n) = 5*n - 9*n - i*n. Calculate v(m(s)).\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4121938 minus 1910.6518?\nAnswer: -1911.0639938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31765627 is divided by 37?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4331040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = -67*j - 138*j + 9166176. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/5*170\/4. Let b = 139 + -54. Calculate the highest common divisor of o and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j + 3*j + 4*j + 40 + 62 + 21 to the form m*j + w and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 28*q - 25*q - 10*q. Let p(y) = -4*y - y - 3*y + 4*y. Determine p(i(d)).\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1548\/(-54) - -30)\/(1 - (-1)\/((-42)\/38)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*(-4)\/(-40))\/((-1)\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3045412 and -75?\nAnswer: 3045487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 + 34*d**3 + 16075*d - 16075*d.\nAnswer: 34*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2499 and 1617?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 11 = -6*t - j, -5*j + 7 = 3*t. Let q(u) = 4*u**2 + 3. Let m(h) = -36*h**2 - 28. Let x(y) = t*m(y) - 56*q(y). Let g(s) = -9*s. Give g(x(b)).\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 426\/(-3337)*139449\/(-129)?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 2.0521\nAnswer: 0.20521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 753109 to the power of 1\/2, to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 5903186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5104 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1738 - 3?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1819 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 100022110002 (base 3) in base 5?\nAnswer: 21331210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l + 1. Let u(d) = -d**2 - 5*d - 7. Let a be u(-3). Determine f(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 359 + -226. Calculate the remainder when i is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + 3*d - d + 1 - 1 - 2*d + (-4 + 1 + 4)*(-4*d - 2*d + 4*d) + 5*d + d - 4*d - 1 - 2*d + 1 + 468*d - 266*d - 234*d + 3*d - 4*d + 2*d.\nAnswer: -34*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 2*j + 46. Let m be z(0). What are the prime factors of (2 - (-14 + 6))*m\/4?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61030365 - -47993.3\nAnswer: 61078358.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s. Let g(w) = -w**2 + 7*w. Let n(o) = -5*g(o) + 7*l(o). Let v(b) = 9*b. Calculate n(v(k)).\nAnswer: 405*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -3. Let f = r - -7. Suppose -f*t - 9173 = -90173. What is t rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 104*v**2 + 5*v + 14. Is 10 a factor of i(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(-3 - 2*n + 3)*(5*n**3 - 6*n**3 - 11*n**3) + (-2*n**2 + 2*n - 2*n)*(-3*n**2 + 0*n**2 + 2*n**2) + 0*n**3 - n**4 + 0*n**3.\nAnswer: -23*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t + 13. Let h be s(5). Let y(a) = -5*a. What is the tens digit of y(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/56? (a) 3 (b) 1\/12 (c) 3\/4 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 1. Suppose 2*d + 1 = -3*l - 50, l = -5. Let a = -17 - d. Let o(c) = 3*c. Let u(t) = -90*t - 91. Let b be u(-1). Determine a*f(r) + b*o(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130443124 + -4?\nAnswer: -130443133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 3*h + 1\/3*h**3 - h**2 + 0. What is the units digit of j(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.973 + -0.087. Let q = 0.06 + a. Let m = 1\/164 + 319\/1476. What is the closest to q in m, 2\/3, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -28, -68, -134, -232, -368, -548, -778?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r**2 - 8*r + 41. Let a(b) = 4*b**2 + 4*b - 21. Let c(k) = 11*a(k) + 6*h(k). Let s(q) = -6*q - 83. Let p be s(-13). Is c(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 759 divided by 2.\nAnswer: 759\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 5)*(-1137*a - 18194*a - 27054*a - 8665*a) in the form f + i*a and give i.\nAnswer: 110100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -9 (b) 6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.8 - -0.8. Let c be 4\/6 + (-22)\/(-390). Let q = -12\/13 + c. What is the nearest to 3 in 0, z, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -30*a**3 + 24*a. Let c(w) = 6*w**3 - 5*w. Suppose -753*x + 758*x = 120. Let l(y) = 6*y**2 - 5*y + 4. Let m be l(1). Give m*u(r) + x*c(r).\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23443\/8 + -2926. Let v = 1916 + -2700. Let m = 3171\/4 + v. Find the common denominator of a and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3753, -13489, -29717, -52437?\n\"Answer: -3246*t**2 + 2*t - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o - 454 = 4*z, -2*z = 2. Is 45 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(171) + -3) - (3 + ((sqrt(19) - (sqrt(1216)*2 + sqrt(1216))) + (sqrt(190)*1 + sqrt(190))\/sqrt(10))**2)) + -5.\nAnswer: -8367 - 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7983701022503\/1741652253516 + 162\/140773703. Let z = p - -2\/3093. Find the common denominator of -16\/51 and z.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9394*u**3*y**3 + 2*u**3*y**2 + 52*u**3 - 2*u**2*y**2 + 3*u**2 wrt y.\nAnswer: 56364*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 470, 939, 1408, 1877?\n\"Answer: 469*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -38)\/(-6 + 287\/42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -738.9 + 738.9. What is the third smallest value in 14.2, o, -0.3?\nAnswer: 14.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**7\/280 + u**6\/40 + u**5\/20 + u**3\/6 + u**2 - 53*u. Let z(w) be the second derivative of x(w). Let z(l) = 0. Calculate l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182\/(-2)*1\/(-2)*(-10)\/((-120)\/(-24)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 5 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 27177 - 0.3\nAnswer: 27176.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-3 + -1))\/2. Let r = 0 - n. Factor 0 + 2\/5*u**2 + r*u - 2\/5*u**3.\nAnswer: -2*u**2*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12990 by 1.\nAnswer: -12990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5, 22, 49, 76, 103, 130?\n\"Answer: 27*x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 - -129\/2. Factor 0 + 1\/2*q**4 + 0*q + o*q**2 + q**3.\nAnswer: q**2*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tfyyktvkp. What is prob of sequence ppt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -24129036.\nAnswer: 9651614.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0404 + 252.0404. Let j = p - 262.1. Round j to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0379, 2, 5720.\nAnswer: -0.0379, 2, 5720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**5 + 316768*j**4\/5 + 1251800304*j**3\/5 - 3920503928*j**2 + 10809923068*j\/5 + 1508095896 = 0.\nAnswer: -7927, -2\/5, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 20*c + 6*c + 9*c + 3.\nAnswer: -5*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 35, 7, 2, 19213 in decreasing order.\nAnswer: 19213, 35, 7, 2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 265592 (b) -3\/4 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1995)\/6)\/(-19))\/((-6)\/((-456)\/19)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1014 or 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.059537 - 2.740507. Let z = b + 6.8. What is z rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s - 467962 = 765758 - 266077. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 7250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 a when four letters picked without replacement from {i: 3, d: 3, j: 4, a: 3}?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 3*u**4\/2 - 723*u**3 + 2697*u**2 - 3231*u + 8197. Factor t(m).\nAnswer: 3*(m - 359)*(m - 1)*(2*m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7290, 7283, 7264, 7227, 7166, 7075, 6948?\nAnswer: 6779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5 = 21. Solve 0 = p - v + 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536*k**3 + 10 - 139*k**2 - 533*k**3 + 0*k + 0*k.\nAnswer: 3*k**3 - 139*k**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1456?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + sqrt(128) + 4 - (sqrt(128) - (4 + -3 + sqrt(128) + sqrt(128))))*4.\nAnswer: -128*sqrt(2) - 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 - 41 = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 180 (b) -3 (c) -2 (d) -34\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = 0, 4*l + 3*s - 4 + 42 = 0. Let c be (12\/15 - 0)\/(7\/(-5)). What is the nearest to l in -4, c, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 10 = 3*l. Suppose 5*h + l*b = 1030, 5*h + b = h + 827. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 7:02 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 5*p + 5*p**2)*(2*p**3 - 2*p + 2*p + (-3*p + 0*p + 5*p)*(p**2 - 3*p + 3*p) - p**3 - p**3 - p**3 + 0*p**3 + 2*p**3 - 4*p**3).\nAnswer: -5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38475 and 11768125.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*b - 21*b - 2*b**2 - 49*b as j + v*b + h*b**2 and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = -7. Suppose -2*c = 3*c - 25. Suppose 2*j - 1 = c. Solve 13 = -j*z + p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 5*h + 1720, 0 = y + 3*y + 3*h - 1411. What is the lowest common multiple of y and 10?\nAnswer: 3490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15651232 + 135?\nAnswer: 15651367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*y + 2 - 17*y - 13*y as j*y + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43979*g*j**4 - 1318*g*j**3 + 48846*g*j**2 - 2*g*j - 3*g - 3*j**2 - 18 wrt j?\nAnswer: -1055496*g*j - 7908*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -54. Let a be ((-11)\/d + (-16)\/56)*-5. Find the first derivative of 22 - 21*f**3 - 2*f**3 - 4 - 2*f**a wrt f.\nAnswer: -75*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 522770828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 57*b - 23. Let h(d) = -19*d + 8. Let s(f) = 29*f**2 - 552*f + 25. Let c be s(19). What is c*q(k) + 17*h(k)?\nAnswer: 19*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.73 - 0.27. Let n = y - -49. Let j = n + -26.922. Round j to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 69473566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 47709\/(-11220) + -1. Let a = q - -2\/935. Calculate the common denominator of a and 1\/2*44\/(-9).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173346118?\nAnswer: 2, 11, 7879369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syylllllllcylyyy. What is prob of sequence cl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 350 - 13?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5294206689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/6 (b) 0.12 (c) 10.5 (d) 2\/11 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0316 + 0.5316. Sort 1, -3\/8, -11, u in decreasing order.\nAnswer: 1, u, -3\/8, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 16) to base 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2 - 236*w + 47. Give l(47).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 7*r - 1. Let p be x(-4). Suppose -l + 0 + p = 0. Solve -l*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367 a factor of 6125390084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -4. Find the common denominator of -77\/8 and (-6)\/j + (-46)\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - ((-6)\/(-3) + -2). Let a be l\/(-3) - (-2)\/6. Suppose -r + g = 0, -2*r - 8 = -a*g - 4*g. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 17.02. Which is the biggest value? (a) -4\/5 (b) i (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 4122\/459)\/((-9)\/(-108))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*p\/(p*p**(-7)))**(1\/46)\/((p**1)**46\/(p**(-4\/5)*p*(p*p**(-2))\/p)) assuming p is positive.\nAnswer: p**(-5482\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6459, 12841, 19211, 25569, 31915?\n\"Answer: -6*j**2 + 6400*j + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1702682 to the nearest integer?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.528 + 0.128. Let g = 13.32 + n. What is g rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666655 is divided by 111108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.147422 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/4)\/((12975\/60)\/173).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 3 = -8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.5*0.1.\nAnswer: -1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/81 and 95\/8?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x. Let j be u(1). Suppose 22*h - 9*h = j*h. Suppose h = -7*m + 8129 + 1398. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*w + 3 + 13, 0 = 3*w + 15. Let z = 7 - y. Is 4 a factor of z + (1 + 3 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1860*o + 410. Let v(s) = -1829*s + 409. Let t(x) = 2*l(x) - 3*v(x). Find the first derivative of t(f) wrt f.\nAnswer: 1767","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74574010 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 - 5*x**3 + 5427320 - 5427320.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/5))\/i)**(-33)\/((i**(2\/13)*i)\/i**(2\/13))*(i*i\/i**(-1\/3))\/((i**2\/i)\/i*i)*(i**(-2)\/i)\/i*i**(-4) assuming i is positive.\nAnswer: i**(83\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (961 - 1575 - 1938)*(-2 + r + 0*r + 3).\nAnswer: -2552*r - 2552","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10497 + -10317. Solve -q = -20*z + 56*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + ((sqrt(325) - (sqrt(325) - (sqrt(325) + 1 + sqrt(325) + sqrt(325))))*-4)**2)*6 - -4*(sqrt(325) + (0 + sqrt(325) + -2 - sqrt(325))).\nAnswer: 2930*sqrt(13) + 280888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((0 + -2)\/(-2)). Let u = -27 - -28. Let c be (-110)\/(-11) + -4*u + 1. Solve 3*x - c + p = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 18 = 3. Suppose -16 = 3*r - i*r. Suppose y - 6*y - 215 = -5*x, -204 = -r*x - 4*y. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275, -243, -77, 289, 921, 1885?\nAnswer: 3247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*sqrt(450).\nAnswer: -225*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(1\/(-10))\/(57\/114). Solve 0 = -222*h + 221*h + q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d - 342 + 1724 - 344 - 347 - 348 - 344. Suppose 5*a = -32 - 3. Let k(z) = -8*z + 1. Calculate a*k(x) - 6*l(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from frrffrfrffrrr.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11815 + 1?\nAnswer: 11816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thh when three letters picked without replacement from jtththjttjjjjttj.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/14 - (-2)\/(-7). Let u(g) = -g**3 - 3*g + 2*g + 0*g**3 - 9*g**2 - 3 - 4. Let j be u(-9). Which is the second smallest value? (a) 4 (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 62*i**2 - 38*i**2 + 61*i - 27*i**2)*(-6*i + 4*i - i).\nAnswer: 3*i**4 + 9*i**3 - 183*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 32 = n - 5*n, 4*u - 5 = -5*n. Let o(t) = 9*t + 8. Let d(r) = r + 1. Calculate n*o(b) + 24*d(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8588)\/(-226)*((-67)\/(-2) + 0). What is the greatest common divisor of q and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 2, u: 1, o: 2, r: 1}. What is prob of sequence umr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*u + 2\/3*u**2 - 2.\nAnswer: 2*(u - 1)*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*(sqrt(125) + 2*-2*sqrt(125) - sqrt(125) - ((sqrt(125) - (sqrt(125) + sqrt(125)*-1 + sqrt(125)))*-2 + sqrt(125))))**2.\nAnswer: 112498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 5*r + 37, -r - 1 = 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)*-1*-2 - sqrt(180).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 62167*h + 62112*h - 124319*h. Let c(o) = 141*o. What is c(y(q))?\nAnswer: -5640*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806498?\nAnswer: 2, 7, 11, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613217.\nAnswer: 11, 107, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73100)\/(-3225)*(-12)\/(-16)*-2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**2 - 8*v - 32 = 0. Calculate v.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54649255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f723a4a + -1?\nAnswer: f723a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1034 + -4?\nAnswer: -1038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17424897, -69699583, -156824053, -278798301, -435622321, -627296107, -853819653, -1115192953?\n\"Answer: t**3 - 17424898*t**2 + t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-10 - (-1221)\/121) + (-11 - 6610\/110)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, -1\/3, -207, 1, -367 in ascending order.\nAnswer: -367, -207, -1\/3, 0.3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 9 (b) 2 (c) -0.1 (d) 9944\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/7, 0, -5.8, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13.73146mm?\nAnswer: 1.373146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22181300 rounded to the nearest 100000?\nAnswer: -22200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven eighths of a minute?\nAnswer: 82500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 223406016880 and -1673.\nAnswer: 223406015207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/21)*q*q*(q*(q**(1\/20)\/q)\/q)\/q*((q*q**16)\/q)\/(((q*q*q\/(q\/(q*q**9\/q)))\/q)\/q) assuming q is positive.\nAnswer: q**(3001\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {q: 12, c: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/18 + 1258\/(-296).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*((sqrt(480)*-4 + sqrt(480) - sqrt(480))\/sqrt(12) - sqrt(40)))\/((sqrt(288)\/(sqrt(18)\/sqrt(3)))\/(sqrt(864) + (sqrt(864)*-2 - sqrt(864)))).\nAnswer: 3600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-6))\/w)\/w**3)\/(w**(-6)\/w**(-3)) assuming w is positive.\nAnswer: w**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-3344)\/(-3040))\/(44\/5))\/(1\/(-18))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 658\/1975 + -20\/79. Which is the nearest to 3? (a) -2\/9 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 - 4*w**2 + 4*w - 1. What is q(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 909*t**2 + 18 - 18 + 784*t**2.\nAnswer: 1693*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsnn when four letters picked without replacement from snsssnnnnsssn?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 - 10*u + 44 in the form l*u + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -8*b + 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vav when three letters picked without replacement from vhvaqdabdbbd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6165 - 6164. Put 1\/4, 3, f, -1\/2, 0.035 in decreasing order.\nAnswer: 3, f, 1\/4, 0.035, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 9 = 3*k, 46 = 5*x - 3*k + 33. Suppose 5*d - 17 = 3. Solve -8 = -4*p + 5*n, x + 6 = d*p + 2*n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.19793?\nAnswer: 0.039586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35237.\nAnswer: 167, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 109, 175?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6659510527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 800025*m + 75. Let i be y(-3). Round i to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -7*t**5\/20 + t**3\/6 + t. Let z be 12\/3 + 9\/(-3). Calculate i(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.948 to 2 dps.\nAnswer: 8.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 6*g + g)*(-1 + 3 + 1)*(-31 - 29 + 60 + 213*g) to the form f*g + n + c*g**2 and give c.\nAnswer: 4473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 25 = p. Suppose 0 = p*z - 2*l + 3*l - 4794, -4806 = -5*z - 4*l. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6075 + 9790. What are the prime factors of v?\nAnswer: 5, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5355 - 4867. What is the least common multiple of 4 and l?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 35*s + 60. Suppose -c - 558*g + 560*g = 8, 4*c + 17 = 3*g. What is x(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -24.84. Let x = 19 + -15. Let q = -3.6 + x. What is the second biggest value in 1\/4, w, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -356444 - -356462. Factor 15 + b*o**2 - 3\/2*o**3 - 63\/2*o.\nAnswer: -3*(o - 10)*(o - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-8 - 1)*(38 - 8). Solve x - f = -9*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 305, 0.2494, 4 in descending order.\nAnswer: 305, 4, 0.2494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c. Let d = -5 - -5. Suppose d = -4*x + 8*x. Let s(z) = -z - z + z + x. Determine s(k(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(95) + 3*3*sqrt(95) + ((sqrt(95) - (sqrt(95) - sqrt(95)*-3))*4 - sqrt(95)))\/(-6*(sqrt(245)*2 + sqrt(5))*-5).\nAnswer: -sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 65*r**2 - 2600*r + 391. Give o(-93).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z + 26*z - 6 = 0. Suppose -5*r = 3*c - 101339, c = -z*r - 0*c + 40536. Let g = r - 12369. Round g to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-223)\/17 - -9) + 4. What is the closest to -4 in 37, 0.06, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689588 is divided by 229860.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151138098 to the nearest integer?\nAnswer: 12294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -1\/3, 1478?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2202 is divided by 708?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -534, -531, -528, -525, -522, -519?\n\"Answer: 3*c - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**26)**(-10) assuming n is positive.\nAnswer: n**260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(-2*sqrt(10)) + sqrt(112)\/sqrt(4)*-1)\/((sqrt(144) + (sqrt(144)*2 - sqrt(144)))*-1).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 0*g = 0. Suppose n + g = 1. Let z(o) = 40*o + 1. Is z(n) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4942.403057 + 4908.3452. Let h = q + 0.047457. Let u = 34 + h. What is u rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 2:09 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -404313, -808631, -1212953, -1617279, -2021609, -2425943?\n\"Answer: -2*m**2 - 404312*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * 167\nAnswer: 8.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -38833, -77667, -116493, -155311, -194121?\n\"Answer: 4*s**2 - 38846*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -973876, -3895874, -8765862, -15583834, -24349784, -35063706?\nAnswer: -47725594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*u + 2*u + 16, -25 = 3*u + i. Let z be (-1324 - (u + 3)) + 0. What is z rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-9\/10)*p*p)\/(p\/(p*p\/(p*p*p**(-27)*p*p)*p)) assuming p is positive.\nAnswer: p**(271\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18 + -16 - -1) + 29\/(-11). Which is the nearest to -4\/7? (a) -1\/12 (b) 2\/3 (c) -0.5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, 2\/13, -745421, 3\/10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7215 and 286565.\nAnswer: 11176035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 864759041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -6.2. Let r = 20 + 15. Let z = 34.7 - r. What is the closest to c in 0, z, 0.05?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b. Let k(v) = -7*v. Let s(w) = -8*w. Let j(z) = 7*k(z) - 6*s(z). Give i(c) + 2*j(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -55, -111, -167?\n\"Answer: -56*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -10 - -31 - -1\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101941.\nAnswer: 7, 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 + 23*t**4 + 10*t**4 + 205 - 52*t**4 + 13*t**4 - t**3 in the form o*t**3 + n + k*t**2 + l*t**4 + z*t and give n.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 29*u**2 + 119*u + 13. Let i be k(-4). Suppose -2*c + 12 = -2*p, -5*c - 2*p + 0*p = -2. Solve z - c = -i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooouu. Give prob of picking 2 o and 2 u.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351214167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18920603447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/16 (b) -182\/53 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 290975.4 milligrams?\nAnswer: 0.2909754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-10) + 22253\/(-1445).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -129, -316, -611, -1014, -1525?\n\"Answer: -54*f**2 - 25*f - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l**3 + 3*l**2 + 5*l**2 - 4*l**3 as j + d*l + p*l**2 + y*l**3 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8248 is divided by 127.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.47949ml in litres?\nAnswer: 0.05747949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 31*k**3 - 8483*k**2 - 3028*k + 3844. Give o(274).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-44 - -2)\/((-2)\/5). Let y = g - 62. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.8987 rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15511953103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4634526 (base 7) to base 3.\nAnswer: 1002110222210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8533, 3, -3 in decreasing order.\nAnswer: 3, -3, -8533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 7:45 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*u + 735 + 881, 3217 = 4*u + 5*n. Suppose 33*m + u = 40*m. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*k, 0 = -o + 4*o - 3*k - 3. Suppose -o*t - 14 = -4*t. Let p(r) = -r**3 + 7*r**2 + 3. Let a be p(t). Solve g = 6*g - b, a*g = -b + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -723*t**6\/20 - 6889*t**5\/60 - 7292*t**2. Find the third derivative of z(f) wrt f.\nAnswer: -26028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3740, 3733, 3724, 3713, 3700, 3685, 3668?\n\"Answer: -k**2 - 4*k + 3745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -14 + 12 + 10\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.5 (c) 0.07 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - l + 1. Let c(f) = 22*f**2 - 44*f + 78. Let v(s) = -2*s**2 + 4*s - 7. Let t(y) = -6*c(y) - 68*v(y). Calculate -t(d) + 8*u(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -0.4 (c) -3 (d) -364211264\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00098683213 to five dps.\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -4 - 295\/177. Which is the closest to 2? (a) r (b) -0.2 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*4\/(40\/(-6)). Let m(d) = -4 + 2*d - r*d + 6*d. List the prime factors of m(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167248 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7167084 divided by -46?\nAnswer: -3583542\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c - 90 = -22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2780 - 2912 - (1 + 3 + 9 + 2)?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -330\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 272104.5 grams?\nAnswer: 272104500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448830524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + 40 + -3 + -4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -122604 or -122839?\nAnswer: -122604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54739 divided by 1?\nAnswer: 54739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 37266 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -71 - 37. Suppose -5*h - 4*u = -98, u = 10 - 8. Calculate the greatest common divisor of h and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 95 = -y, -1821*y + 1820*y - 3*m = -39 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, 5\/34, -1\/2, 10, -0.2, -2\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*p**4 - 22*p + 22*p)*(0*p + 3*p + 0*p).\nAnswer: -39*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2200 (base 8) to base 13\nAnswer: 6a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 139, 105, 4 in decreasing order.\nAnswer: 139, 105, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (19 + (-47 - -17))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i**3 + 24*i**2 + 1205*i + 5279. Let a(u) = 2*u**3 - 8*u**2 - 402*u - 1760. Let b(d) = 13*a(d) + 4*o(d). Suppose b(v) = 0. What is v?\nAnswer: -7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-5)\/15 + (-119)\/51)\/(-2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/57 in -0.2, 0.2, 1.4, -2639?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3794)\/(-294) + (-58)\/(-609) - (1 + 5 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -1.52?\nAnswer: -9.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - -2. Let s(z) = 6*z**2 - 15*z - 15. Let d(t) = 7*t**2 - 16*t - 16. Let v(h) = 5*d(h) - 6*s(h). What are the prime factors of v(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885779?\nAnswer: 251, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.003 + -1.003. Let g be 1 + 0 - (-5)\/25. What is the closest to i in -0.4, -3, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x. Let g(u) = 27910*u**2 + 15*u. Calculate g(r(i)).\nAnswer: 27910*i**2 + 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.3 + -8. Let r be 5 + -1 + (-34)\/4 + 6. Put r, i, -1\/2, -12 in increasing order.\nAnswer: -12, -1\/2, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -109.\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -107, -412, -919, -1628?\n\"Answer: -101*u**2 - 2*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5273820 to the power of 1\/2, to the nearest integer?\nAnswer: 2296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 111695 and 0.1?\nAnswer: 11169.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24\/125 or 0?\nAnswer: 24\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -13*a - 17 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s + 20. Which is greater: -19 or s?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/7)\/x)\/x**(3\/7))**(-31) assuming x is positive.\nAnswer: x**(248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5353975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - (-44 + -12 + -16)) + 8\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 13174?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8134 or -8131?\nAnswer: -8131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -25 - (-10 + 2 - 10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 353?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/30)\/(((-252)\/(-105))\/4)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 3, h: 4}. What is prob of picking 1 a and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 594*h**2*s - 8*h**2 - 3*h*s + 15*h + 4*s + 4 wrt h.\nAnswer: 1188*s - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18874999 divided by -11.\nAnswer: 1715909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -988 + 7fa?\nAnswer: -18e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-1) - (-3 - -1). Let m be ((-14)\/3)\/(l\/30). Let r = -14 + m. Calculate the remainder when 41 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1040*j**2 + 76*j + 466. Is n(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 + 15 + (0 + -6)*1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = -2397 + 829. Let i be m\/(-24) + (-25)\/(-30). What is the greatest common divisor of i and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 19*q + 97 + 51 - 2*q - 179 + 46.\nAnswer: 16*q + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13\/53, -1.2, 2, -0.14, 5?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from {s: 2, c: 1, d: 1, v: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*p - 43 = -103*p + 320. Which is smaller: -113 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/d**1)\/d))**(-3\/13))**(-43) assuming d is positive.\nAnswer: d**(258\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 0. Let g(s) = -s**3 + 2*s**2 + 2*s. Suppose o = 3*v - 10, 0 = -5*v - 5*o + 3 + 7. Let q be g(v). What is the nearest to -1\/2 in 4, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1731.66 to the nearest 10.\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 468933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-36)\/(-198) - (-4066)\/22?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172 - -164. Let p = o - -4. Put p, -11, 0.5 in increasing order.\nAnswer: -11, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 390, 396, 414, 450, 510, 600, 726?\nAnswer: 894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (4 + sqrt(162) + 0)) + (sqrt(72) - (-1 + 0 + sqrt(2)))**2.\nAnswer: 10*sqrt(2) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-36)*3 + (-26)\/(-3). Suppose w*f - 28 = f. What is the third derivative of -1415*o**f + 20*o**2 + 1415*o**4 + 2*o**6 wrt o?\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43316994*c**4 - 279*c**2 + 7*c + 272?\nAnswer: -1039607856*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -79, -53, -27?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**7\/1260 + d**4\/3 - 3*d. Let q(z) be the third derivative of p(z). Let y(u) = u. Give y(q(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -123 (b) 32 (c) -3 (d) 0.32 (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193161 is divided by 673.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -135*m**2 + 2*m - 8. Let v(a) = -134*a**2 + 2*a - 10. Calculate 5*s(p) - 4*v(p).\nAnswer: -139*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 272, 4, -1\/71985?\nAnswer: 272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -225 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -13*t**3 - 7*t**2 + 7*t - 4. Let z(u) = -u**3 - 7*u**2 - 9*u + 7. Let c be z(-5). Let j(n) = -4*n**3 - 2*n**2 + 2*n - 1. Determine c*l(o) - 7*j(o).\nAnswer: 2*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226144 is divided by 113063?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/8, -106, 3\/11, -5?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 9105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + 12 + -10 + 5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.1 - 22.3. Which is the third biggest value? (a) -14\/9 (b) y (c) -1\/6 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 369 and 140086179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -0.4, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726*i - 34530 = -716*i + 1380*i + 912*i for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 416932000 to the nearest one million.\nAnswer: 417000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 53 + -108 + 118.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1892*h - 3786*h + 1893*h - h**2 - 15865.\nAnswer: -h**2 - h - 15865","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2254, -4274, -6048, -7576, -8858, -9894?\nAnswer: -10684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/((-694980)\/(-546)))\/(1\/(18\/(-21)))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/9 or -2890?\nAnswer: -2890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*y + 54*y = -1500 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -606*m - 10*m**2 - m**2 + 602*m wrt m?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**6 + 3*b**6 + b**6 + 18*b**2 + 8*b**6 wrt b.\nAnswer: 1200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172120\/60 - (0 + 9\/(-27)) is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.5884 - -13316.4884. Let y = v - 13310.9014. Let d = 11 + y. Round d to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 76 = 2*w, -5*w + 5*p + 210 = -0*p. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135636 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1107 is divided by 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954576.\nAnswer: 2, 3, 7, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530*g - 534*g + 20 = 0. Suppose -g*b + 6 = -9. Calculate the remainder when 84 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b**2 - 27*b - 976. What is the hundreds digit of j(38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 - -9 - 2*-1. Let i be ((-29)\/b)\/((-11)\/44). Let l = i + -9. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.4 - -1.75?\nAnswer: -81.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from jjjajyyjjyyvj?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*l**3 - 415*l**2 - 400*l + 855.\nAnswer: -5*(l - 1)*(l + 9)*(8*l + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 11*c - 2152. What are the prime factors of c?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1100) - -1*sqrt(1100)) + sqrt(1100))**2 - -6*-1*sqrt(1100)) + 1*(sqrt(1100) - 5*(1 + sqrt(1100))).\nAnswer: -100*sqrt(11) + 185895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 100 = i. Let t = 72 - 25. Suppose -42*g = -t*g + i. Solve 14 + 11 = -g*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 - i + i + (-3*i + 0*i + 4*i)*(2*i - 1 + 1) - 4*i**2 + 25*i**2 + 98*i**2.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 850499, 1700999, 2551499?\n\"Answer: 850500*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -2*v**7\/105 - v**4\/24 + 43*v**2. What is the second derivative of m(b) wrt b?\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/11101743 or -1?\nAnswer: 8\/11101743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 - -6)\/((-1)\/(-1599)). Let u = p - -849. Find the common denominator of u\/40 - 0\/(-1) and -39\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 625568 and 28928?\nAnswer: 5004544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6524431 by 9.\nAnswer: -6524431\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*l + 115*l - 96 = 0. Solve -306 = l*c - 336 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a + 104*a = -395 - 149 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -2*5\/(-10). Suppose 0 = -p*s - s + 6. Let o = 7\/3 - s. Which is the second biggest value? (a) 5 (b) 4 (c) o (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.14 + 0.061858519?\nAnswer: 47.201858519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 629902300 rounded to the nearest 1000000?\nAnswer: 630000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7 + 0*t**2 - 2*t - 2*t - 7*t**2 - t**3 + t**2. Let g be j(-5). Suppose -s + 3 = -g*s. Is s equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 12*g = -8*g - 18, 15 = 3*g. What is the hundreds digit of 24\/(-3)*y*(-67)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3522? (a) 1 (b) -5\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390642 is divided by 3795.\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4742 + 4750.6452. Let z = c - -0.0448. Round z to 1 decimal place.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 535, 2, 17, 0 in decreasing order.\nAnswer: 535, 17, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -171*g + 77*g - 334*g**3 + 102*g to the form v*g**2 + x + w*g + b*g**3 and give b.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1309773142?\nAnswer: 2, 12601, 51971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + i - 36 = -13, -4*z + 22 = -3*i. Suppose -z = -u - 2*q, 42 = 2*u - 2*q - 2. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*f - 80, f - 5 - 11 = 5*y. Let c(v) = v**2 - 17*v + 1. Let k be c(17). Solve 2*n + 3 + k = -3*p, -5*n + f = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-12)*-8)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3709, -14976, -33775, -60106?\n\"Answer: -3766*s**2 + 31*s + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/15 or -1?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3547?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-40)*-15 + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 140*o**2 - 129 - o + 143*o**2 - 140*o**4 - 283*o**2 wrt o.\nAnswer: -1680*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166.236 - -166. Let b = p - -0.2360159. What is b rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Suppose 3*w - 3 = f, w = -3*f - 2*f + 17. What is the first derivative of -w + 1 - 4*p**3 + 3*p**r wrt p?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 4, 0, -78, 26566?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 13*v + 4. Give r(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 64?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/9 + 902*h**3\/9 + 41938*h**2\/9 + 175042*h\/9 - 175028\/3 = 0. What is h?\nAnswer: -399, -47, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 196286.29 rounded to the nearest 1000?\nAnswer: 196000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 13*i**2 + 17 + 2*i**2 - 17.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a**4 - 2*a**3 - 8*a**3 + 6*a + 16*a**3 - 27*a**2 - 12*a**5 = 0 for a.\nAnswer: -1, 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/30*(-95)\/38?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*d**2 - 37*d**2 - 359*d**2.\nAnswer: -314*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 235240534463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, 2\/3, -2\/13, 10.\nAnswer: -3, -0.4, -2\/13, 2\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w + w + w - 3*w as a + l*w and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/3*198\/(-1155)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-36)*-1)\/((-24)\/828)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 - 40) - ((-120)\/6)\/(-553 + 557)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -250 in -2\/5, -0.3, 99\/4, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -124, -2\/11, 0.1, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 50, -1\/4, 0.2?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, l: 2, r: 3, h: 6}. What is prob of sequence al?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 523739.97 nanoseconds in hours?\nAnswer: 0.000000145483325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.9815493 minutes to days.\nAnswer: 0.004848298125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 696 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 513?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2041 divided by 5.\nAnswer: 2041\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -1\/10, -34 in descending order.\nAnswer: 1\/3, -1\/10, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.20534 and 1.025.\nAnswer: 0.2104735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/9)*l*l\/(l*l**7*l))**(-25\/2)\/((l**1)**(25\/6))**12 assuming l is positive.\nAnswer: l**(725\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(312\/(-100))*(-3)\/(-5)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -787 - -1263. Let p = 473 - z. What is the closest to -0.1 in p, 0, 58?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 + 105. Let i = 23 + c. Suppose -5*f + 18 = -i. Calculate the least common multiple of 6 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + s = 30, r = -3*s - 2 + 17 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*j = 38*j + 60. Suppose 3400000 = 10*p - j*p. Round p to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3229604394 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/20)*l**(-11)*l)**7)**11)**11 assuming l is positive.\nAnswer: l**(-168553\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 780*a - 7024. Determine w(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -67*u - 1452. Let r be b(-22). Solve -r*q = -63 - 25 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3701 or -3733?\nAnswer: -3701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2154 = -3*a, 4*a + 2*d - 148 = 2724. Round a to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-35)\/(-15))\/((-2)\/36). Let b = -24 - w. Calculate the highest common factor of 198 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rru when three letters picked without replacement from {r: 3, a: 1, e: 1, u: 1, p: 5}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36278260.\nAnswer: 2, 5, 1813913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58.28 + -57.28. Let i be (-3)\/(4 - 1) + 1. Which is the closest to 0.09? (a) s (b) 0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**5\/20 + n**4\/12 - n**3\/3 + 3*n**2\/2 + n. Calculate the remainder when t(-4) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xocxwcxwxcwcwccwx. Give prob of picking 2 w and 1 x.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**16\/x*x**(2\/29) assuming x is positive.\nAnswer: x**(437\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/((-4)\/((-32)\/12)). Let o = -6 - -8. What is the second smallest value in -0.1, k, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 1. Let l(k) = 5*k - 3. Let o(x) = 6*h(x) + l(x). Suppose 4*u + 8 = 3*g, 16 = -5*g + g. Is o(u) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*v - 392 = -521*v. Solve -1 = 2*o - 5*c, 8*c - 12*c = -v*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3982*h + 45656029 = 4041*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.983 to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3804613 is divided by 531.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2*p)*(3 + p - 3) - 6*p**2 + 0*p**2 + 2*p**2)*(0*p + 8*p - 3*p).\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122)\/(-1525) + 54\/(-50)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -234306.57334.\nAnswer: -234307.57334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -39 + -17 + 0 - -11 - 16\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 5*u**2 - u + 2. Let o be f(5). Let v = 4 + o. Suppose -i - 3 = -4. Is i at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**2 + 545542*i + 545540 = 0.\nAnswer: -272770, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -0.4, -1, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65423 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**4 + 14*t**4 + 4*t**4 + (t - 3*t - 3*t)*(59*t**3 + 39*t**3 - 144*t**3) - 2 + 2 + t**4.\nAnswer: 244*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 10*h**2 + 2*h + 18. Give p(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 23 - 31 = 0. Let g = 25 + s. What is the closest to g in -5, 5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2829225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + w**2 + 5*w - 3. What is z(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 3, i: 4, m: 3, g: 4, x: 5}. Give prob of picking 1 i and 1 m.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1238*u - 1243*u + 0 - 2)*(4 - 3 - 2).\nAnswer: 5*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*i + 7. Solve -i*k = 5*c - 23, 2*k + 18 = 5*c - 0*k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -230, -175, 20, 361?\nAnswer: 854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drd when three letters picked without replacement from rrrrdrdrrrrrr?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p + 20 - 20.\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-1 + 0)\/(-1). Let y(t) be the second derivative of t + 0*t**4 - 1\/6*t**3 + 2*t**2 + 0 - 1\/20*t**5. Give y(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.3739\nAnswer: 1.4956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*10\/(-210))\/(2\/(-696)*-4).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 k, and 1 p when four letters picked without replacement from rpjrojkjkjjkrrjooj.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2196 + 0.1804. Let f = -14 - -18.3. Which is the smallest value? (a) f (b) 1 (c) -3 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53951142 a multiple of 3374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922051?\nAnswer: 13, 19, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54996421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 241, -2, 1\/68?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 251365486 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2394 and 8442.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 174 - 326*o**2 + 174.\nAnswer: -326*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -12*x**3 + 8*x**2 - 8*x + 8. Let m(c) = 1 - 3*c + 2 - 63*c**2 + 66*c**2 - 4*c**3. What is -3*l(s) + 8*m(s)?\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1\/(l*l**3))\/(l*l**(-6)*l*l**(-3)))\/(l**5*(l*l**(-2)*l)\/l*l\/(l*l*(l\/l**(3\/2))\/l)*l**0) assuming l is positive.\nAnswer: 1\/sqrt(l)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12633978 is divided by 85.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 45\/225*(-1 - -26). Suppose 0 = -3*l + 9, s = 2*l - h*l + 22. Calculate the remainder when 69 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (-36)\/(-8))\/(-5)*6. Suppose s*n + 4249 = 5*v, -5*n + 4265 = 4*v + v. What are the prime factors of v?\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1084 + 3293\/3. What is the common denominator of n and 6\/7*-12 + 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 79*l**2 - l + 4. Let x(o) = 2. Let a(d) = 4*x(d) - z(d). Let m be (-1)\/2 - (-5)\/2. Let j be a(m). Round j to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 3262968.\nAnswer: 3262968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -2 (b) 4 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -522 = 6*i - 15*i. Let k = 108 - i. Calculate the highest common factor of k and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + 189389?\nAnswer: 189397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -76, -81, -86, -91, -96?\n\"Answer: -5*m - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 10*j**2 + 11*j - 1. Let y be t(-11). Let p be -4 - (-1*2 + 1). Sort p, y, 4 in increasing order.\nAnswer: p, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 6*p**2 - p + 13. Let m be c(6). Let f be (-5 - -2) + -1 + m. Factor -10*z + 12*z**f - 6 - 2 + 0 - 2*z + 4*z**2 + 4*z**4.\nAnswer: 4*(z - 1)*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -424120, -848253, -1272386, -1696519, -2120652?\nAnswer: -2544785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 400\/8800 + (1205\/110 - 3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51542?\nAnswer: 2, 25771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 0. Let g = 4.13 - 0.13. Sort -2, x, g.\nAnswer: -2, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1 + 1 + r - 3 + r**2 - 2. Let y be l(-3). Let h(j) = j**2 + y*j**2 + 5*j**2 - 3*j**2. Let k(b) = -2*b. Determine k(h(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (7*47\/26649)\/(((-12)\/12)\/(6\/2))\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*g + 3149 = -2036 + 1825 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - 57356289?\nAnswer: -57356280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 14*y**2 + y + 23. Determine r(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 - ((-5)\/2)\/((-139)\/556)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -621 + -456. Round k to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 6. Let j(n) = -4*n**2 + 2*n + 5*n**a - 14 - 5*n. What is the units digit of j(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*x = -3*x - 37, -4*x + 12 = 2*j. What is the least common multiple of j and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + -1)*-2 + 1 + sqrt(1584) + 2.\nAnswer: -12*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103056?\nAnswer: 2, 71, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b - 7295 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-12)\/(j*j*j**(-18)) assuming j is positive.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3040\/13 + -234. Let i = -1\/191064 + 764261\/955320. Which is the fourth smallest value? (a) -0.3 (b) i (c) m (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 411 divided by 3\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 391340 or 391320?\nAnswer: 391320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -415*n + 20330. Give l(49).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 9:23 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2162*b**2 + 970*b**2 - 3 + 2)*(-b**2 + b**2 + 3*b**2).\nAnswer: -3576*b**4 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 + 72. Let x be 1\/((-5)\/i) + 6. Suppose x*u + 1 = 4*o, 0*o = -3*u + 2*o + 1. Calculate the remainder when 6 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - j**3 + (3 - 3 + 2*j)*(-j**2 + j**2 - 2*j**2) + 2*j**3 + 4 - 4 + (3 + 2*j**2 - 3)*(-3*j + 4*j - 3*j) + 3*j**3 - 2*j**3 + 2*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 24*h - 160 = 20*h, 2*w = h + 74. Solve -w - 22 = -20*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10931 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 - 38 + 4*b in the form l*b + z and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h + 92 - 4*h + 43 + 158 - 71 to v + l*h and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 25*j**2 - 5*j**2)*(5*j + 6*j - 5*j) - 2*j**3 + 0*j**3 - 3*j**3 + 3 - 2 + 3*j**3 - 2*j**3 + (0 + 2 - 1)*(-j**3 + j**3 + 5*j**3).\nAnswer: -173*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16499\/629 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176*t**3 + 371*t**3 - 1 - 2*t - 191*t**3 + 0*t**2 - 4*t**4 + 0*t**2 to the form p*t**2 + s*t + z*t**3 + r*t**4 + g and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waaawammwa. What is prob of picking 1 m and 1 w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 319675 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41*z**2 + 73*z**2 - z - 44 + z + z**2 wrt z?\nAnswer: 230*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 75\/8 of a kilogram?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2649179328?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 6726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 382205.7 centuries to decades.\nAnswer: 3822057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 259.9 to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 136233525973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84554418 divided by -6.\nAnswer: -14092403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1478, -2983, -4488?\nAnswer: -5993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, c: 2, w: 2, r: 1, l: 3, h: 2}. Give prob of sequence lloh.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/4)\/(3\/4). Let s(v) = 2*v**3 + 3*v**2 - v - 2. What is s(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -389, -4, 0.1, -20, -3 in decreasing order.\nAnswer: 4, 0.1, -2, -3, -4, -20, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-3) - 22\/14. Let z(m) = m + 7. Let j be z(-5). Let l be 102\/18 - j\/3. Which is the nearest to 2\/5? (a) r (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 + 547 = 64*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 244513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 12839.6 to the nearest one hundred.\nAnswer: 12800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 92330 (base 11) in base 15?\nAnswer: 29e37","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put 7\/4, -15, 34, 2, -4 in descending order.\nAnswer: 34, 2, 7\/4, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = -17. Let z = -17 - w. Suppose 2*m + 0*m - 2*l = 34, z = 3*m - 4*l - 53. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 11*u**2 - u - 4*u - 3*u + u**3 - 16 - 20*u**2. Let h be b(10). Let p(a) = -a**3 + 3*a**2 + 3*a - 1. Give p(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 - 145*n**3 - 1632*n**2 - 4788*n.\nAnswer: -n*(n + 6)**2*(n + 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-22) - 390\/33. Let h be 6\/4*n\/(-153). What is the third biggest value in h, -7, -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - 2. Let b(n) be the first derivative of 5*n**4\/4 - n**3 + 3*n**2\/2 + 5427. Let o(g) = 4*g**3 - 2*g**2 + 2*g. Calculate a*o(p) + 4*b(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1204124035 (base 6) to base 10\nAnswer: 13634807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54439, -82, 2 in increasing order.\nAnswer: -54439, -82, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 + -2)\/(-3) - (-4 + 0)*(-464)\/(-64)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88859, 88849, 88817, 88757, 88663?\nAnswer: 88529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.476 to one decimal place.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2840 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5042)\/(-21) + (-96)\/1008. Suppose 5*y = 3*l + g, -2*y + 13 = -2*l - 87. Calculate the highest common factor of y and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**2. Let n(l) = -l**2. Let p = -534 - -532. Let g(i) = -4*i**2 + 0*i**2 + i**2. Let u(f) = p*g(f) + 9*n(f). Calculate a(u(m)).\nAnswer: -45*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 6:28 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o**2 - 200*o + 68 = 0. What is o?\nAnswer: -17, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.19 + 30.61. Let u = 35 - q. What is the closest to -1 in u, 12, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 155435677, 621742703, 1398921079, 2486970805, 3885891881?\n\"Answer: 155435675*h**2 + h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 331 = 3*f - 376, 5*h = -5*f + 1195. What is the greatest common factor of f and 1098?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f = 6. Let h = -6 + f. Suppose h*n + 19 = n. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1428?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nncnncnnccnnncnnnnnn. Give prob of picking 3 n.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -7 - -1 - 10) + -9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(70)\/sqrt(10) + 1 + -2.\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159 + -155. Sort -4, f, -6 in descending order.\nAnswer: f, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310*v = 312*v - 58. Suppose 0 = -7*h - 8 + v. Solve 25 = -h*w - 2*w + 4*s, 0 = -5*w + 5*s - 30 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Suppose 3*z - 4*x - 29 = 0, -3*x - 14 = 2*z + x. Let b(m) = 3 + m**u - z. Let i(g) = 2*g**2. Give i(b(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 12*x - 14. Let a(t) = -4*t + 5. Let p(u) = 17*a(u) + 6*c(u). Let i be p(1). Let g(m) = -m + 7. What is g(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -802 + 106. Suppose 5*i - 5 = 0, 2*i = -3*w - r + 589. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 55 = -5*a, -4*i = -4*a - 3 + 51. Let v = 5 - 0. Suppose -2*s + v*o = -23, -3*s + 4*o - 8 = -8*s. Sort s, -3, a.\nAnswer: -3, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -264789 - -488789. Suppose 95*u = 93*u + l. What is u rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + 94317*r - 94321*r - r**2 + 222 - 2*r**4 as x*r**4 + t*r**2 + a*r**3 + l*r + h and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 14\/3270977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 0, -2768 in decreasing order.\nAnswer: 5, 0, -1, -2768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/102 and 64\/21.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -205 (b) -3 (c) 3 (d) -4 (e) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(85)*-3)\/sqrt(5).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/4))**(-17)\/(((q*q**(3\/4))\/q)\/(q*q*(q**(5\/2)*q*q)\/q*q*q*q*q)) assuming q is positive.\nAnswer: q**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 0*f = -7. Is f + -1 + (5 - 9 - -8749) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) - 38\/(-8). Let y(l) = 5 + 15*l**2 - l + 2 + 4*l. Is y(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 - -4) + -3 + 9 + 6. Let r(q) = -6*q**2 + 3*q + 7. Let w(a) = -7*a**2 + 3*a + 8. Give t*r(s) - 5*w(s).\nAnswer: -s**2 + 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 8*u**2 - u - 3. Let n be ((-8)\/10)\/(1\/10). Let s be o(n). Solve s*i = 3*i - 5*a - 3, 0 = 5*i - 4*a - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5952, -5959, -5966, -5973, -5980?\n\"Answer: -7*l - 5945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 - 1701097?\nAnswer: -1701097.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from {q: 1, x: 3, f: 1, p: 6, o: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54.08 + -54.58. Which is the fourth smallest value? (a) -50 (b) -5 (c) v (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l*(l**(-3)*l)\/l))*l**(-1\/9))\/(l**6\/(l*l*(l\/l**7)\/l)))\/(l\/(l\/(l*l**(6\/11)))*l**(-6))**(2\/7) assuming l is positive.\nAnswer: l**(-1271\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 55*s**2 - 3*s - 161. What is y(-55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + -1)*-4*2 - (sqrt(75) + sqrt(75) + (-1*sqrt(75) - sqrt(75)) + -4 + -1))**2.\nAnswer: -2288*sqrt(3) + 23401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -6. Suppose 32*v - 292407 = 17161. Let c(i) = v - 2*i - 9677 + 15*i**2 - 14*i**2. Determine c(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 2*v + v)*(-3 + 7 - 5) to the form f*v + x and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/11*18480\/4200?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -615.44 - -630. Let p = z - 15. Let w = p - 1.46. Round w to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -10ba?\nAnswer: 10b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-20))\/((-1)\/14*(-63)\/90)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991949021.\nAnswer: 7, 37, 3829919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-19424498)\/(-285)*19\/16 - -5. Let a = -80941 + v. Calculate the common denominator of a and -29\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -16 + 20. Let u(p) = 5 + a - 3 + p + 63*p. What are the prime factors of u(4)?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 443*d = -444*d + 9, -4*d - 44 = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + -5 + sqrt(3))*-5 + sqrt(3) + -2 + sqrt(432) + sqrt(432) + 3)*-1 + -5.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -2, -20, -1, 18, -27 in descending order.\nAnswer: 18, -1, -2, -20, -27, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 16 = -0. Let k = -10 + g. Solve k*c - c**2 + c - 8*c = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 7:26 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1189986 millilitres to litres.\nAnswer: 0.0001189986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/12)\/((-50)\/(-15) + -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0*j - 1\/42*j**4 + 0*j**3 + 1\/70*j**5 + 1\/210*j**6 + 0 + 46*j**2. Factor v(p).\nAnswer: 2*p*(p + 2)*(2*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5326, 5325, 5324?\nAnswer: 5323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 0*p**2 - 3 - 3\/4*p**4 + 0*p**3 - 4*p. What is the first derivative of f(n) wrt n?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*a + 5. Let 0*o + 0 - 2\/5*o**a = 0. What is o?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/22)\/(1\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**3 - 2*w**2 + 2*w + 3. Calculate the remainder when 286 is divided by c(3).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.11 times 0.045?\nAnswer: -2.43495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.17 + 4.13. Let o = -2.3 + n. Which is the third biggest value? (a) -4\/9 (b) 0.06 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - n - 2. Let g be l(-2). Suppose -9*m + 12*m = -3. Let r = m - g. Solve -8*t = -r*t + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2. Let n(v) = 2*v**2 - 3*v - 3. Let b(a) = 5*a + a**2 + 7*a**2 - 13 - 37*a + 19*a. Let o(g) = -6*b(g) + 26*n(g). Give w(o(r)).\nAnswer: 64*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/2 - 8385*g\/2.\nAnswer: -3*g*(g + 2795)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/10 - (-2277)\/(-45). Let i = u + 50. Let l = i - 6. Is l smaller than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11110110 (base 2) to base 16\nAnswer: f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2212031 (base 5) to base 8.\nAnswer: -112767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + sqrt(17) + -6*sqrt(34)\/sqrt(2)))**2.\nAnswer: 40*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**4\/7 - 10*u**3 + 606*u**2\/7 - 1242*u\/7 = 0.\nAnswer: 0, 3, 9, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5548 + 7689. Is 2140 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*y + 8 = 0. Let h = -8 + 22. Let i = -11 + h. Solve 0 = i*m - m - y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42607477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 909135, 1818271, 2727407, 3636543, 4545679, 5454815?\nAnswer: 6363951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 15*q**2 - 9*q - 15. Let g be w(-15). Let v be 2*(2\/(-4) - -1). Let a be (0 + 1 + 14)*v. What is the highest common divisor of a and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 70250.2 and -0.7.\nAnswer: -49175.14","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 11210110120100 (base 3) in base 8?\nAnswer: 11561055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 - 8*x**2 - 4*x + 7. Let m be g(-3). Find the third derivative of 2 - 6 + 0 + 12*q**3 + 60*q**3 - m + 4*q**2 wrt q.\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r + 15 + 11 = 0, -3*u - 7 = 47*r - 45*r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -134? (a) 3 (b) -1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66 in -1\/3, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + 1d2?\nAnswer: 1d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 52, 123, 226?\n\"Answer: 16*b**2 - 9*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45654\/18 - ((-117)\/27)\/(-13) a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*y + 43*y - 18985*y**2.\nAnswer: -18985*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 343 divided by -2\nAnswer: -343\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -19)\/(-231*1). Let h be (69172\/3432)\/(11 - 4). Let p = h - g. Find the common denominator of -9\/4 and p.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -62*((-1)\/3)\/(-1). Suppose -81*z = -910*z + 4051 - 14213 - 6418. Which is bigger: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**7\/42 + s**6\/30 + 7*s**5\/20 - s**4\/12 - s**3 - 984*s. Determine b so that z(b) = 0.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.2, 4, 4\/3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 9*t**2 + 13*t - 25. Let l be k(10). Solve l*o - 4*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0096 + 5.0096. Which is the smallest value? (a) -10 (b) y (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1414 = 6*s - 1064. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*l + 3*l. Suppose l*d = -2*d + 5. Is 1 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 - 9*r + 16. Let q be w(-6). Let x(z) = 16*z**2 + 62*z - 36. Let o(d) = 5*d**2 + 20*d - 12. Let h(v) = q*x(v) + 7*o(v). What is n in h(n) = 0?\nAnswer: -6, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -9*q + 5. What is the second smallest value in q, 3, 3\/2, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 7 - 17*m + 42*m to d + k*m and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 648618 to the power of 1\/2, to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*v + 847 = -21039 for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/6 - o\/2.\nAnswer: o*(o - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7*p + 2*w = 180, 3*w + 167 = 4*p. Let z = p + -18. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4062*p - 344*p + 501*p + 183535 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/3*-3 - 2. Let w = -4 - l. Suppose 0 = -2*p - x - 4*x - 1, 0 = 2*p + w*x - 14. What is the lowest common multiple of 20 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 4*i - 23. Let n(q) = -27*q. Determine n(d(t)).\nAnswer: 27*t**2 + 108*t + 621","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**2 - 6*w**3 + 4*w**3 - 3*w**2 - w. Suppose 141*q + 220 = 97*q. What is the units digit of v(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -0.3669, -4?\nAnswer: -0.3669","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 630\/7*1\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388852.3 rounded to the nearest 1000?\nAnswer: 389000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 15*d**2 - 835*d + 5815. Determine f(7).\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 20*h - 5. Let p(r) = 4*r - 1. Let j(k) = 22*p(k) - 4*v(k). Let c(o) = o. What is c(j(x))?\nAnswer: 8*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.1 (c) 4 (d) -2\/3 (e) -2 (f) -4156\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4*h*h**(13\/2)*h*h**(3\/5)\/(h**14*h))**(-18) assuming h is positive.\nAnswer: h**(171\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -6 - ((11 - (-12 + 12)) + -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1417\/(-43) - (-2805)\/85.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 6307132 = 4*n, 1618*r - 1617*r = -4*n + 6307122. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 4*f**2 - 4*f**2)*((6 - 6 + 9)*(-2*f + f + 2*f) - f - 3*f + 2*f + (-204*f + 114*f - 107*f)*(-2 + 2 - 2)).\nAnswer: -1203*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 586915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3, 0.2, -816, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -17) + (19 - 8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 666?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -14. Suppose -p*z - 391 = -8*z. Suppose -z + 31 = -4*l. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18076 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12831 + 8?\nAnswer: -12822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13219 and 2.\nAnswer: 26438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*n + 5*n**2 - 3*n**2 - 352*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3517871*h**2 - 22693*h - 100?\nAnswer: -7035742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -286 - -248. Let s = -0.026 + 0.066. Put s, -1, h in ascending order.\nAnswer: h, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2634137, -2634212, -2634287, -2634362?\n\"Answer: -75*t - 2634062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 784*w + 125. Is g(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 380\/57*(-2)\/(-8). Let n(y) be the first derivative of -6 + 0*y + 1\/4*y**4 - t*y**3 + 0*y**2. Find the third derivative of n(o) wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4851637.5+20\nAnswer: 4851657.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1216) + 0 + -5 + sqrt(1216) + sqrt(1216).\nAnswer: -6 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o - 238*o = -4733 - 3880 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.39 + -3.39. What is the second smallest value in 0.5, p, 14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 - 2*b - 6. Suppose -4*f - l + 8 = 0, 0*f - 3*f + 3*l + 21 = 0. Let c(j) = -92 + 188 + j**2 - 93 - f*j**2 + j. Determine 4*a(w) + 7*c(w).\nAnswer: -2*w**2 - w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -398*f + 59*f + 73*f - 989*f as w*f + l and give w.\nAnswer: -1255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 6*j - 8. Let f be y(7). Let z be (-2 - (-228)\/90)*(30\/(-8))\/(-3). Which is the nearest to f? (a) -4 (b) z (c) -0.4 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*f + i - 2*i, 11 = -f - 2*i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - 3*j + 3*j)*(3 - 2 - 3)*(-30*j**2 + 30*j**2 + 43*j**3) + 2*j**4 - 3*j**4 + 0*j**4 to t*j**2 + b*j + g*j**4 + a + k*j**3 and give g.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 27*c + 19*c to the form m*c + s and give m.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 97*v - 4. Let s(w) = 98*w - 3. Let y(j) = 4*d(j) - 3*s(j). Is y(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5)*y)\/y)**1*y\/(y\/(((((y**0\/y*y)\/y)\/y)\/y)\/y)*y)*y**(-2\/17)*(y\/y**(-1\/4)*((y\/(y*(y**(-3)*y*y)\/y))\/y)\/y*y)**(-3\/28) assuming y is positive.\nAnswer: y**(-47207\/9520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**3\/6 - 106*g**2\/3 + 17822*g\/3 + 36064\/3 = 0.\nAnswer: -322, -2, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22401 divided by 2489.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f + 555 - 576. Let p(r) = -r + 7*r - 2 + 4*r. Let s be p(2). Solve -2*h - 3 = -5*h - 5*c, 0 = f*h - 2*c + s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 10 = -4*f. Find the third derivative of 2*o**4 - 5*o**4 - 15*o**2 + 16*o**f + 0*o**4 wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.46 - 37.46. Let n = -37.00083 - z. Round n to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 23 - 23 + 3*m. Suppose 2 = 2*b - 2. Let i(z) = -z**b - 4 + 5 - 1. What is i(x(k))?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38794 and 10710.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -7. Let x be 3*(4\/a)\/(-4). Let v(k) = -12*k**3 - 2*k**2 - 2*k - 1. Calculate v(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 8.25, -0.5, -0.3.\nAnswer: -0.5, -0.4, -0.3, 8.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31\/3 + 9. Is n at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2102011 (base 3) to base 15.\nAnswer: -7c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00555301 rounded to 4 decimal places?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 100 (b) -3 (c) -1657 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 3*f = 2, -5*f = 1390*b - 1395*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 7*k - 2*k - 218 = 0, 2*k - 6 = 0. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/(-224))\/((-3)\/(-294)*4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (87\/(-315))\/((-1)\/(-3)). Let t = c - -3\/7. Let b = 0 + 0. Is t at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l - 1. Let y be w(-1). Let i be (13 + -13)\/(2\/2). Let m = -3.64 - 0.36. What is the biggest value in y, m, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -42*r + 37*r. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**5 + 2615*z**4 - 141610*z**3 - 1517000*z**2 + 1656000*z = 0. What is z?\nAnswer: -10, 0, 1, 72, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*p - 58*p = 45*p - 173*p - 38482 for p.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.94 rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {g: 4, m: 1, b: 1, w: 8, r: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 2, p: 1, l: 1, e: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 21*s**2 - s - 6. Let w be z(21). Let m = w + 47. Let l(d) = 19*d**2 + 227*d + 6. What is the smallest common multiple of m and l(-12)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.4 * -0.08\nAnswer: -0.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 64 = 2*l. Suppose 1942*h - 1936*h = 30. Let j be (-58)\/(-5) + (-4)\/(-10). Solve -h*g = j - l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4242 = 2*p + 5*j, 4*p - 5656 = 3*j. Find the common denominator of p\/(-441) - 9\/(-21) and -3\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.813963 millilitres in litres?\nAnswer: 0.007813963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 7*c - 2. Let b(s) = -s**3 + s**2 + s - 1. Let v(z) = -z**3 + 5*z**2 - z + 7. Let o be v(5). Let a be b(o). List the prime factors of i(a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 436773*i*v**2 - i*v - 1827*i - 9*v - 7 wrt v?\nAnswer: 873546*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 - 3*d**2 + 2*d + 1. Give t(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1294155 is divided by 140?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-27)*-12)\/((-1)\/((-45)\/6))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1 = -4*d. Let l = 131933\/40 - 3300. Find the common denominator of l and (-30)\/28*d\/3.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 - 43. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*m**3 + 27*m**2 + 30*m + 9.\nAnswer: 3*(m + 1)*(m + 3)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/2)*g*g*g)**(1\/17)\/((g*g**(2\/7))\/g)**(-2\/23)*g**(2\/5)*g*g*g**(2\/3)*g**1\/((g\/(g*(g*(g**(1\/2)*g*g)\/g)\/g))\/g) assuming g is positive.\nAnswer: g**(279067\/41055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6237 + -6248. Put -3, 1, -6, -1, g in decreasing order.\nAnswer: 1, -1, -3, -6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -225704, -451380, -677056, -902732, -1128408, -1354084?\n\"Answer: -225676*j - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Suppose -p + 32 = -w*p. Suppose -18 - p = -2*j. Calculate the remainder when 48 is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 3*s**2 + 2*s**2)*(-10*s + 26 - 10*s + 16*s + 2*s + 3*s - 6*s + (-1 + 1 - s)*(-2 + 1 + 2)) + 3*s**3 - 7*s**3 + 0*s**3.\nAnswer: -22*s**3 + 78*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 9*k - 241. Calculate b(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 11*x - 15. Let l be n(10). Let b be (2 + l)*(-3 - -2). Suppose -r + b*a + 463 = 5*a, 0 = 5*r + 5*a - 2300. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 5*j + 25, -2*t - 5 = 2*j + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3 + 5. Let c = -4.1 - -0.1. Suppose -4*o = -4 + 24. Sort c, l, o in descending order.\nAnswer: l, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -255*g**4 - g**3 - 5*g**2 + 7799*g wrt g?\nAnswer: -3060*g**2 - 6*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1936*d - 27096. Give z(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*w + 157*w = 2*n + 16, -w - 24 = -4*n for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + -10 + 4 - -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 27*m**2 + 122*m. Give a(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/29)*(n\/(n*n*n**(-13)*n))\/n*(n*n**(-3\/10))\/(n**(2\/3)\/n))**(2\/3) assuming n is positive.\nAnswer: n**(9659\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 117, -9, 3 in increasing order.\nAnswer: -9, -5, 3, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030724 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((22 + -21)*(-2)\/3). Suppose -4*v + 302 = u, -2*v - w*u + 105 = -41. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48389319740\/10629 + -4552575. Find the common denominator of j and -39\/4.\nAnswer: 42516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*v - 4*a + 12, -3*v - a = -11. Find the first derivative of 66*m - 35 + 22*m**2 - 64*m - 20*m**v wrt m.\nAnswer: 4*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 7. Let n(f) = -10*f - 56. Let x be n(-6). Sort 2, k, x in decreasing order.\nAnswer: x, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119938?\nAnswer: 2, 7, 13, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32, 9, -50, -163, -348, -623, -1006?\n\"Answer: -3*w**3 - 2*w + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 253512587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -44. Let j be -1*(-1)\/(-1) - 1. Let r be (j\/4)\/(3\/(-6)). What is the highest common factor of r and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-1 - (-4 + -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123)\/82*(-3)\/((-3)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*b + h + 13, 24 = 3*b - 2*h. Suppose 7*a - b*a = 0. Suppose 0 = -r, 3*w + w + 5*r - 8 = a. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i**3 + 1220028*i**2 - 4*i - 25878509.\nAnswer: -9*i**2 + 2440056*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 252.30795 hours?\nAnswer: 10.51283125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*m**4 + 3*m**4 + 63431*m - 63492*m + (-5 - 2*m + 5)*(m**3 + 2*m**3 - 2*m**3).\nAnswer: 18*m**4 - 61*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -5\/3*c**3 + 6 + 0*c**2 - 2*c - 15\/4*c**4 + 11\/4*c**5. Solve i(j) = 0.\nAnswer: -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 11*n - 2*n**3 - n + 3 + n**2 - 7*n to i + v*n**3 + r*n + k*n**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1088761.\nAnswer: 1088761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*q = 0, 2*b = -2*q + 6*q + 24. Let m = -214 + 126. Calculate the remainder when m\/(-8) + (-1 - 0)\/1 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -366, -350, -320, -270, -194, -86?\n\"Answer: x**3 + x**2 + 6*x - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 7*q**2 - 9*q + 4. Let r(m) = 1. Let p(n) = -d(n) + 4*r(n). Let j be p(-5). Solve -2*i - 9 = 4*h - h, j*i + 5 = -4*h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1449\/117 + -12 + 1\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 17*x - 53. Let t be a(20). Solve -4*j + t = 3*z, 5*j = -5*z - 0*z + 15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18676 (base 15) to base 13.\nAnswer: -29cc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/21, 3\/4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 112821395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222122 - -2002212111?\nAnswer: 2001212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 56192067?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*4*5\/(-60) - -2. Suppose 3*w = a*f - 901, -f + w + 231 = -217. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 + 3*x**2 + 6*x**2)*(x - x - 4*x**2) + (-6*x + 0*x + 4*x)*(-2*x**3 + 2*x**3 - 2*x**3) as w*x + l*x**2 + c + a*x**4 + f*x**3 and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1555143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7066451163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 447, 83, 0, -30, 3 in descending order.\nAnswer: 447, 83, 5, 3, 0, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(10) - sqrt(40)\/sqrt(4)))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 6*k**2 - 4*k - 4*k**4 - 1 + k + 6*k**4 to v*k**4 + a + t*k**2 + b*k**3 + q*k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1291119?\nAnswer: 3, 31, 13883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -22. Calculate the least common multiple of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 419975 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.43 + 23.3231. Round n to three dps.\nAnswer: -0.107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 923 (b) -3\/14 (c) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c05e3b3 - -1?\nAnswer: c05e3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5100)*1)\/(sqrt(243)*-1))**2.\nAnswer: 1700\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s - 2*s**5 - 3*s + (s**4 - 4*s**4 + 5*s**4)*(0 - s + 0) - 38*s**5 - 7*s**5 + 0*s**5 - 7*s**2 - 6*s**5 + s + 7*s**2.\nAnswer: -55*s**5 + s","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12188 + 3*k**2 - 48227 + 11651 + 12201 + 12187.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -15*c + 28. What is the hundreds digit of (-3)\/((-6)\/572 + 0) - c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2 - 7*u - 7. Suppose 3*z - 2 = 4. Let x(k) = -1 - k**2 - 3 - 4*k - k**z. Calculate -4*b(t) + 7*x(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17576430 = -40*a - 6943570. Round a to the nearest ten thousand.\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106653083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/5 + -1\/20. Let k = -2\/63 - 19\/63. What is the third biggest value in 0.4, b, 1\/2, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/5? (a) -444 (b) -1\/2 (c) -0.3 (d) -3\/2 (e) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 106, 118, 144, 190, 262?\n\"Answer: d**3 + d**2 + 2*d + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djiiu. What is prob of picking 1 u and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57252?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 0)*2\/4. Find the third derivative of -8*i**2 + 2*i**2 - i**6 + 3*i**2 + u*i**6 wrt i.\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 2*s + 6*s. Suppose f + 2 = -5*q + s, 2*q = -f + 13. Solve -f*a - 9 = 4*c, 0 = -c - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 11 = t, 0*t + 9 = 2*w + t. Suppose -22 = w*c - 22. Solve c = -5*d - 0*q - 5*q + 15, 4*q + 16 = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(-1))**18\/(l*l*l*l*l**4*l**(1\/4))**(-15\/7) assuming l is positive.\nAnswer: l**(-9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1407\/5 - 282. Let i = -23.2 + 20.2. What is the closest to f in i, 4\/5, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 22*n - 81. Let k(y) = 32*y - 79. Determine 6*g(c) - 4*k(c).\nAnswer: 4*c - 170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, l: 1, i: 2, m: 1, a: 1}. Give prob of picking 1 m, 1 i, and 1 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 27*w + 13. Let i be t(3). Calculate the greatest common factor of i and 4042.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 (base 9) in base 12?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - sqrt(48)*1 - (sqrt(192) + (sqrt(192)*-1 - sqrt(192))**2 + sqrt(192)))*2 + 0 + sqrt(6)\/sqrt(2)*1*4.\nAnswer: -1536 - 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 6:45 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21220020212 - -100?\nAnswer: -21220020112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 3 + 6348*d - 7 - 6403*d to the form c*d + x and give c.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 589314800 to the nearest integer?\nAnswer: 24276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 91.50976 years?\nAnswer: 1098.11712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -3\/5 (b) 2 (c) -5\/3 (d) 48\/5 (e) -326\/11 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 17*o**5 - 37*o**4 + 21*o**3 + o**2 + 4*o. Let d(m) = -33*m**5 + 73*m**4 - 43*m**3 - m**2 - 7*m. Let z(f) = 6*d(f) + 11*h(f). Factor z(v).\nAnswer: -v*(v - 1)**3*(11*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(((i**(2\/3)\/i)\/i)\/i))**(1\/50)\/(i\/(i*i**(-2)*i*i)*i*i**(3\/4)*i))\/(((i\/i**5)\/i)\/(i**(1\/10)*i)*i**(1\/4)*i*i**(-5\/6)) assuming i is positive.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 798 and 75734?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 988701 * -0.4\nAnswer: -395480.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -35636 divided by -8909?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 17*m + 7*m**2 - 15*m - 4 + (-4*m + 5*m + 0*m)*(-3 + 3 + 2*m) + 0*m**2 + 3*m**2 - 2*m**2 + 2*m**2 + 2*m**2 - 2*m**2 - 2*m**2 + 6*m**2 - 3*m**2.\nAnswer: 13*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -335 - -334.7. Suppose -4*a + 5*a = 0. Let t be (-10)\/6 + 1 + a. What is the nearest to t in -4, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*l**2 + 14*l.\nAnswer: l*(19*l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.33059 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 7:58 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12946 (b) 31 (c) -22 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*f**2 - f**3 - 12*f**2 - 3*f**2 - 10*f**3 - 11*f**3 + 12*f**3 + (2*f - 14*f - f)*(0 + f**2 + 0) - 3 + 3 - 2*f**3.\nAnswer: -25*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3 = -3*v. Let j(y) = -23*y - 16. Let u be j(-1). Suppose 0 = 3*s + 2*r - u - v, -r - 6 = -s. Solve 0 = -s*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4942516283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and -0.0182?\nAnswer: -0.4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7d1 + -206?\nAnswer: 5c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 + 116*r**2 - 122*r - 235. Give v(-59).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54*m*p**2*x - 2*m*x**2 - p**2*x**2 + 2*p*x**2 + 12*x**2 wrt p?\nAnswer: -108*m*p*x - 2*p*x**2 + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12898, -25798, -38698, -51598, -64498?\nAnswer: -77398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - i = 4, 0 = k + 9*i - 8*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = -11*c + 15*c. Let o = -88 - c. Let w(y) = -2*y + 180. What are the prime factors of w(o)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*a + 57*a - 42. Solve -a*l + 8 = -t - 4*l, 4*t = -5*l + 36 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1000) - sqrt(1000)*2*6 - sqrt(1000) - -5*2*sqrt(1000))*2)\/(sqrt(140)\/sqrt(112) + sqrt(180)*1 + -2*sqrt(20)).\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 7*f**2 - f + 6. Let q be r(-7). Let u = q - 11. Solve -u*p + 3*p + 1 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 - 5*i + 4. Let g(y) = -13*y**2 + 17*y - 11. Give -3*g(d) - 8*n(d).\nAnswer: 7*d**2 - 11*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, -7, -2, 2, -10197 in descending order.\nAnswer: 3, 2, -2, -7, -10, -10197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7967*v - 340*v**3 + 82*v**3 + 0*v**4 - 7968*v - 2*v**4 as f*v + s*v**4 + h*v**3 + l*v**2 + o and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from nntnbnovnvnnnbvd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.974 - -0.5.\nAnswer: -1.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 2*j + 2. Let p(t) = -t + 1. Let d be p(0). Let n(x) = -x - 1. Calculate d*v(u) + 2*n(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - d. Let u = 119\/4 + -841\/28. Which is the nearest to -2\/7? (a) 0.1 (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 3. Do -5 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678050 is divided by 168856.\nAnswer: 2626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s + 2. Suppose -2*z - 10 - 2 = 0. Let v be (-8)\/z + (-14)\/(-21). Determine q(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 58. Suppose d - 2*h - 3*h + 22 = 0, -2*h - 15 = 3*d. Let v(u) = u**3 + 7*u**2 + 6. Let a be v(d). Calculate the greatest common divisor of a and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - -2)\/((-12)\/12). Which is the fourth biggest value? (a) -3\/4 (b) o (c) -0.1 (d) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/18 and 22\/78142941.\nAnswer: 156285882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z - 94*z + 1971 = 152 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7959 + -3997. Suppose 11*o - q = 2726. What is the highest common factor of o and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*x**2 + 20*x + 25*x**2 - 12*x**2)*(4*x**3 - 2*x**3 + 2*x**3).\nAnswer: -4*x**5 + 80*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -4, -0.02, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by -114.\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25692777.66 + 0.4.\nAnswer: 25692778.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - b - 19, -x - 3*b + b = -4. Let z(i) = i**3 + 6*i**2 + i + 6. What is the remainder when z(-5) is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.6 - -0.4. Let j = l + -16.32. What is j rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = 12*d + 14. Which is bigger: 6 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33768.\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5 + 10*o**4 + 52*o**3 + 56*o**2.\nAnswer: -o**2*(o - 14)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1983 + -1983. What is the nearest to -2\/5 in a, 0.5, 7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2 = 4*c. Let p(b) = -2*b**3 - 4*b**2 - 2*b + 1. Let j be p(c). Solve -j*k = -10 - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-79 + -2)\/((-6)\/(-18)). Let d = k - -346. Let v = d + -174. Round v to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3 + 703*r**2 + 4254*r = 0 for r.\nAnswer: -6, 0, 709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -0.4327.\nAnswer: -0.017308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 40*s**3 - s**2 + 2. Determine p(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -193*n**2 - 2*n - 1. Let l be x(1). Let t = l - -208. Are t and 13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**6\/24 + z**5\/60 - z**4\/12 - z**3\/6 - 927*z**2. What is p(-2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 16 = -4*b, -18 = -2*z - 5*b - 2. Suppose -14*h = -z*h - 384. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4224*k*v**2 + 2*k*v - 8387*k - v**4 wrt v?\nAnswer: 8448*k*v + 2*k - 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/4 - (-1 + 1). Let v(s) = s - 16. Give v(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from wwwwawwwwwwaaw?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 97300.\nAnswer: 97300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162137834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*(sqrt(66) - (sqrt(66) + -2*sqrt(66)))\/sqrt(6))**2.\nAnswer: 7920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-21)*3*2\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*k + 25, -3*n + 4*n - 15 = -3*k. Let w be 3 + 3\/12*k. Suppose -i - i = -w. Calculate the remainder when 3 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 172905 and 180?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 11 + 51*i + 22)*(-13 - 29 + 64)*(4*i + 4 - 4) to s*i**2 + w + y*i and give y.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, y: 1, u: 1, g: 1, z: 1}. Give prob of picking 1 z, 1 u, and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/353447565 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/6)\/(105\/210)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 90769.6567 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28899\/2 + -14437. Solve 10 + g*q + 5\/2*q**2 = 0 for q.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11651935.02000123 - 11651936. Let k = 0.98 + r. What is k rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -942474a?\nAnswer: -9424750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**6\/720 + v**5\/60 + v**4\/6 + v**2. Let l(j) be the second derivative of i(j). What is l(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6878902 and 811.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 2*t + 4*t)*((-6*t + 0*t + 4*t)*(0 - 1 - 1) + 4*t + 3*t - 5*t + 3*t - 1 - 1 - t).\nAnswer: 16*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 3, -30, 1\/8, 8706, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.70751 micrometers in millimeters?\nAnswer: 0.06370751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itt when three letters picked without replacement from itittiii.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-27)*(9\/2)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - f + 28. Suppose 0 = -t - 0*t + 3. Suppose -7*d = -6*d - t*v + 6, 10 = d + 5*v. List the prime factors of m(d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a century in years?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27559 - 16540. Is 62 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 2*y**2 + 2*y - 2. Let n be q(2). Suppose n*f - f + 3*x + 4 = 0, 2*x = 2*f. Is -1\/23 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-226)\/6*(-23 + -4)\/3. Suppose 16*m = 109 + x. Calculate the greatest common divisor of m and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = 5*g + 65. Let q be 1 - ((-462)\/g - (-21)\/35). Let s = q + 228. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -355 + -15?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(125)*5).\nAnswer: sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*i + 3*a - 285, -3*i = 3*a - 195. Suppose i = 2*t + 3*t. Suppose w - 5*q = 0, 2*w - 3 - 10 = -3*q. What is the remainder when t is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 740\/(-10212)*30\/25.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -48*w. Let y(s) = 11*s**2. Give y(g(c)).\nAnswer: 25344*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -1. Suppose -c*z - 4*x + 3 = -1, -2*z - x + 5 = 0. Suppose a + 24 = 5*a - z*m, 2*a - m - 8 = 0. Let f(r) = -2*r + 3. Determine f(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6201, -6198, -6193, -6186, -6177?\n\"Answer: o**2 - 6202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, a: 9}. Give prob of sequence aaal.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.512 weeks in hours?\nAnswer: 10838.016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 4*z + 35. Let l be y(-7). Let u(t) = 1 + 3 + 16*t**2 - 3 + 2*t. Let j be u(-1). What is the greatest common divisor of l and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 29*d**2 - 2*d - 55. Let x = 103 - 132. Let m be y(x). Let r = 7.7 - 8. Is m smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.718 - 4.82. Is s greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(-3*4*sqrt(3)))**2.\nAnswer: 11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k + 0*k + 5*k - 22 + 19 to w + i*k and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 124?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (12 - 19) + 9 - (-12 + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/29 + (-149812)\/(-2494). Let y be 59 - -1 - 0\/(-1). Let x(d) = -y - d + m. Let a(q) = 7*q**2. Calculate a(x(l)).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5339\/8 + 3983\/6. Let w = -44 - -41. Calculate the common denominator of j and 462\/8*10\/225*w.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2323, -9288, -20895, -37144, -58035, -83568?\n\"Answer: -2321*s**2 - 2*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 62 = -5*z, -4*g = -9*g + 5. Let s = 1 - -2. What is the smallest value in -1\/12, s, z, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -219459 (base 11) to base 7.\nAnswer: -2653165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27592 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 q(h) = 2*h. Let p be q(2). Suppose 8 = -u - p*t, 2*u - 14 + 3 = t. Let j be 2 + -3 - (-15)\/9. Which is the closest to j? (a) u (b) -3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282425.66 - 4.\nAnswer: -282429.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 7 + 1. Put 7, f, 0 in increasing order.\nAnswer: 0, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -463 - -423. Calculate the remainder when 15 is divided by (w\/35*1)\/(2\/(-7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/143, -7, -0.14, 2\/3 in descending order.\nAnswer: 2\/3, -1\/143, -0.14, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 3*n - 4*n)*(-2*n**2 - 3*n - 3*n**3 + 3*n) + 7*n**4 + 84*n**3 - 84*n**3.\nAnswer: -2*n**4 - 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*i + 416*i + o + 401 = 226, -3*i - 2*o = -41 - 34 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, y: 1, v: 1, s: 1, h: 1}. What is prob of picking 1 e, 2 v, and 1 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101 + -106. Let f be (-3)\/(-7)*12\/(-18). What is the closest to 1 in 5, f, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*(122\/10)\/(-26*(-122)\/(-15860)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30.00086 - 30. Round p to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201101010 - -210?\nAnswer: 1201101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3 + 1 = 0, 3*l + 5*c = 26. What is the derivative of 6*y**4 + 3*y**2 - l*y**2 + 4*y**2 - 3 wrt y?\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 473\/88 + 27\/(-72). Solve -5*m = -t*z - 10 + 45, m + 1 = -2*z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*z + 101*z - 10 = -4*u, -2*u = 3*z - 9. What is the closest to z in 3\/4, 7.4, -2\/11?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxxu when four letters picked without replacement from udxxuxuquxx?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 1 - 5)*(-2*z + z - 2*z) to f + c*z and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*b + 1)*(-1 + 2 + 1)*(-5544 + 5544 - 24*b).\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -4. Let g(v) = -v**2 + v + 120. Let z be g(0). What is the highest common divisor of a and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**3\/7 + 40*g**2 - 2546*g\/7 - 13716 = 0.\nAnswer: -14, 27, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59556 and 312669.\nAnswer: 1250676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 3*b**2 - 3*b - 2. Let p be x(4). Suppose -15*z = -41 - 4. Solve z*i + 5*w = p*w + 9, 13 = -4*i + w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -180*h - 52. What is the units digit of w(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2. Let u(g) = -17*g + 233. Let y = -953 - -966. What is the smallest common multiple of n and u(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 - 6*l - 160. What is f(-9)?\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-92)\/3864)\/((8\/(-4))\/18)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70699572947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 5*f + 8. Suppose 2*a + 2*m - 1 = -15, a = 2*m - 1. What is the least common multiple of r(a) and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 3:33 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/14 - 6\/21. Let r(v) = v + z - 1 + 0*v. Let x be r(-3). Put x, -5, 3 in ascending order.\nAnswer: -5, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 15*r. Let j(h) = -2*h**2 + 34*h. Calculate j(z(m)).\nAnswer: -450*m**2 + 510*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/((-90)\/(-8)))\/(-4)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 44*d. Let f(b) = b**2 - 1505. Give f(n(y)).\nAnswer: 1936*y**2 - 1505","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/7 - 2136*h**3\/7 + 314*h**2 + 64140*h\/7 = 0. What is h?\nAnswer: -1069, -5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 9 = -0*p. Suppose -19*t + 276 = -142. Calculate the remainder when t is divided by 22\/3 + 2\/p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8047\/8338 + 4\/379. Let s = 17\/22 + u. What is the third biggest value in s, -8, -0.5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -112, -329, -696, -1219, -1904?\n\"Answer: -w**3 - 69*w**2 - 3*w - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 2905, 155 in decreasing order.\nAnswer: 2905, 155, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 6*p**2 - 43*p - 12. Determine v(10).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 8 (b) 9 (c) -107.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**4 - 203*b**3 - 2120*b**2 - 1200*b = 0. Calculate b.\nAnswer: -20, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78631 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/12 - (110\/(-30) + 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1071565 - 0.1072. What is s rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 + 20923236*u**3 - 27361415102496*u**2 + 136806552432080*u.\nAnswer: -4*u*(u - 2615402)**2*(u - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*t + 10. Suppose -4*j = -4*r - 8180, 4*r - t*j + 4011 + 4174 = 0. Let z = -1187 - r. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 p, and 1 g when three letters picked without replacement from tpzgggzppgzpmtgp?\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -8. Let b be -11 - (v - (-1)\/1). Is ((-20)\/(-6))\/((-3)\/b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12194\/3 + -4004. Is 62 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 3*p**2 + 5*p - 4. Let g be v(3). Let i = g + -7. Suppose i*l - 5 - 9 = b, -3*b - 5*l = -43. Calculate the remainder when 17 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a568 + 0?\nAnswer: -a568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1351719146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 9541?\nAnswer: 66787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 646\/(-7429) - (-600)\/9545.\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33904207*s**2 - 166604388 with respect to s.\nAnswer: -67808414*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -4\/9, 0.861, 0.06, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*b - 233*b + 4 = -508 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 11*r**3 - 2*r**2 + 1. Let v be u(1). Solve 2*q - 5*b = 3*q + 8, -3*q = b + v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 10. Let v = 4.7 + -5. Suppose -3*c = -2*j - 0 - 25, -c - 15 = 4*j. What is the smallest value in v, c, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-12)\/(-760)*(103 - 101)\/((-2)\/(-5))\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 126 - 141 + 91 + (-1 + 2 + 1)*(-d - 1 + 1) - 3*d + 0*d - 2*d)*(2 + 2*d - 2).\nAnswer: -8*d**2 - 352*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 6*u + 6. Let p be n(6). Suppose 0 = p*a - a - 90. Suppose 0 = o - 14 - 4. Calculate the lowest common multiple of a and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -81736 = -80480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 456384+-1312\nAnswer: 455072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 3*w**2 + 3*w + 3. Let i be y(4). Let b = 1 - i. Solve -3*r**2 + 4*r + 6*r**3 + 2*r**4 - 10*r**5 + 17*r**b - 10*r**4 - 6*r**4 = 0 for r.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/20 and -4 + 6336\/690 + -5 + 2\/(-6)?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298921747.\nAnswer: 31, 9642637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 18, -5, -4 in ascending order.\nAnswer: -5, -4, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 438 = 106. Let z be (1 + b\/(-12))*3. What is the tens digit of (-1)\/(-5) - 5707\/z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 161*c - 8428. What is d(53)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6*f - 24 + 64*f**2 + 62*f**2 + 55*f**2 - 234*f**2 + 55*f**2. Determine s(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92.686 * 134\nAnswer: 12419.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60250 - -1?\nAnswer: 60251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 0*g**2 - 24 + 7*g**2 - 3*g + 43 - 16. Let b(s) = -4*s + 38. Let j be b(9). Does 20 divide x(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 152 = -78. Suppose 3*r = 4*k + x, -r + 5*k - 14 = -34. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/5 + 5372*z**2\/5 - 9608053*z\/5 + 5721790074\/5.\nAnswer: -(z - 1914)*(z - 1729)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*x + 5 - 3, s - 3*x + 14 = 0. Suppose -3*y + t + 1 = 0, -y - 4*t = -0*y + 17. List the prime factors of -2 + y\/(s\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 4*s**2 + 5*s - 1. Let u be i(5). Let c be (2\/(-4))\/((-12)\/(-24)). Let h be (3\/9)\/(u\/(-51)*c). Which is smaller: -16 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50 - 76 + 6882*s**2 - 75 + 201 as t + o*s**2 + v*s and give o.\nAnswer: 6882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -7*u**3\/6 - 5*u**2\/2 - 15*u - 2. Calculate the remainder when 179 is divided by w(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111011110110000100 - -10111?\nAnswer: 11111011110110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -33993950981 less than -4?\nAnswer: 33993950977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20 (b) 3\/4 (c) 4\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1496 and 101\/133824.\nAnswer: 1472064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8098 - 0.97383. Round a to 3 decimal places.\nAnswer: -0.164","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -h - 4*i + 27, 3*h - 81 = 5*i. Let u be (16\/6)\/(18\/h). Solve -r - u*r = -25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 3*b - 6*b)*(4*b - 6*b + 6*b)*(10*b + 5*b**2 - 10*b).\nAnswer: -60*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 2, -5\/39, -5\/4 in increasing order.\nAnswer: -5\/4, -5\/39, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-88)*11)\/(-6*5\/48)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*a + 23*a - 0. Put a, 4, -30 in decreasing order.\nAnswer: 4, a, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 239\/4. Let l(k) be the second derivative of 0 - 2*k**2 + 3*k + b*k**4 + 0*k**3. Differentiate l(m) wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**4 - 5*b**4 + 3*b**4 + (2*b**2 - 2*b**2 + 21*b**4 + 2*b**2)*(64 + 48 + 70 - 1).\nAnswer: 3802*b**4 + 362*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.24 - -1.2. Let k = a - 0.16. Let x = 1 + 0. What is the nearest to x in -0.5, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = x + 5, 5*x + 4*q = 7 - 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/45)\/((-2)\/(-36)). Sort 4, w, -1898 in descending order.\nAnswer: 4, w, -1898","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8*m + 13. Let d be p(12). Let a = d + 82. Let o(c) = -c. Let z(w) = 10*w + 4. Calculate a*z(s) - 8*o(s).\nAnswer: -2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, 328, 575, 978, 1567, 2372, 3423, 4750?\nAnswer: 6383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769810 is divided by 484.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + sqrt(2) + 1 + sqrt(8).\nAnswer: -3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 7*f**2 + 4*f - 10. Let h be z(-6). Suppose -3*y + 2*y + h = 0. Solve 3*x - x - 2*a = -8, y*x + a = -8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**21\/i)*i)\/i*i\/((i**(-9)\/i)\/i)*i)\/(i*i**(-30)*i*i)**(8\/3))**22 assuming i is positive.\nAnswer: i**1452","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -198 by 85872.\nAnswer: -33\/14312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 139\/8 >= 3\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7\/2551 + -706571\/20408. Which is smaller: k or -34?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7*m**2 + 7*m - 15. Let z(u) = 4*u + 0 - 8 + 12*u**2 - 2*u**2 - 6*u**2. Let s(q) = 3*a(q) - 5*z(q). What is the units digit of s(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2813845 and 68335?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3. Let g be -2 - (-6)\/(-10) - -3. Let i = 1\/687 - 8935\/2748. What is the third smallest value in g, i, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6*q**2 - 7587*q - 22767. Determine g(-3).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19506120 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179578799.\nAnswer: 179578799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6353.9 and -856.\nAnswer: -5438938.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -7228, 2\/5, 2, -2217?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*a - 30 + 5 = 0, -15 = 3*a. Let b(x) = -x**3 - 13*x**2 - 24*x + 3. Let h be b(-11). Solve k = -5*i - 0 - h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 95241744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0)**(2\/23)*(h\/(h*h\/(h*h**6)*h)*h)\/h**(2\/5)*h**(1\/5)*h**(-7)*((h*h\/(h**(-2\/9)*h))\/h)\/(h\/h**(1\/3)) assuming h is positive.\nAnswer: h**(-1612\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 78*t**2 + 9*t + 2. Let p(c) = 79*c**2 + 8*c + 1. Let h(w) = -4*b(w) + 5*p(w). What is the tens digit of h(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43003592*b*i**3 - 116*b*i**2 + 2*i**3 - 176*i**2 + 820*i wrt i.\nAnswer: 258021552*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 20*c - 19. What is the remainder when f(-13) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 163\/8 (c) 2480\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -13*p - 466. What is b(-24)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, u: 4}. What is prob of sequence uouo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4176 + -4106. Solve 80*p - c*p = -20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 63084.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**5 - 268*q**4 - 145*q**2 - 2*q wrt q?\nAnswer: 120*q**2 - 6432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 658*a + 4*w - 2 = 656*a, -3*a = -5*w + 30 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -t, 0 = -2*c - t + 4*t. Solve -z - 4*z - 10 = c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w - 9. Let v(n) = -7*n - 17. Suppose -4*a + 8 + 4 = 0. Let b(r) = a*v(r) - 5*y(r). Let l be b(-9). Solve -2*z = x - 1, l*z + 0*z = x + 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 742 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8, 18, 30, 44, 60, 78, 98?\n\"Answer: y**2 + 7*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15970167?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22630475 and 35.\nAnswer: 22630475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6*z = 3*x - 25, 9 = x - 2*z. Suppose 3*p = -5*m + 4*p - x, -m = -3*p + 15. Find the second derivative of s + m + 91*s**4 - 96*s**4 + 0 wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 60246713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5504781?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98901 is divided by 3683?\nAnswer: 3143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 1. Let y(h) = h**2 + 7*h + 6. Let v(t) = 3*j(t) - y(t). Let w be v(-3). Is 10\/13 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (sqrt(187) + 4*sqrt(187)*1))*4)\/(sqrt(1331) + ((sqrt(1331) + 2*sqrt(1331) + sqrt(1331))*6 - sqrt(1331)) + sqrt(1331) + sqrt(1331)).\nAnswer: -8*sqrt(17)\/143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3678247, -7356490, -11034733?\nAnswer: -14712976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -57, -2, -71, 5 in decreasing order.\nAnswer: 25, 5, -2, -57, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4792 and 3009212?\nAnswer: 3605035976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**5\/60 - m**4\/8 + m**3\/6 - 2*m**2 + 7*m. Let j(c) be the first derivative of k(c). Give j(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.16 + 0.02. What is v rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 + 23*a + 83 + 12*a)*(-2 + a + 2).\nAnswer: 35*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 816 and 185808?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 6*z**2 + 61*z - 377. Calculate d(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3946 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 452, -1\/6, -0.1, -36, 0.7 in decreasing order.\nAnswer: 452, 0.7, -0.1, -1\/6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 - 114.0758019084.\nAnswer: -112.7758019084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 861 or 859?\nAnswer: 861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13323014 (base 5) to base 13\nAnswer: 49ba3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2401 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - -1. Let q = u - -1. Calculate the remainder when q is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -214*q - 755 - 1424 - 3385 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14.838388 or 6\/13?\nAnswer: -14.838388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/49683348 and 25\/15287184?\nAnswer: 198733392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -179*q**2 - 11*q - 254. Let c(r) = 35*r**2 + 2*r + 51. Let l(g) = -11*c(g) - 2*z(g). Find the first derivative of l(o) wrt o.\nAnswer: -54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 745740, -0.17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 13. Let j = -2245 + 2252. Let w(k) be the second derivative of k**3\/6 - 9*k**2\/2 - 45*k. What is j*w(l) - 5*c(l)?\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from lylvlvyl.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 at most 1272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -9. Let i be (g\/(-8))\/((-5)\/(-10)). Suppose 4*c - 202 = i*x, 4*c = -2*x + 6*x + 200. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -166*h. Let d(z) = -169*z. Calculate 5*d(v) - 6*o(v).\nAnswer: 151*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.25*0.02.\nAnswer: -0.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7335.001 litres to millilitres.\nAnswer: 7335001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-112)\/72 - ((-82)\/18 + 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) -1085 (c) -0.12 (d) 0 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 57850 = 20762. Let a = u + 825305\/42. Let q = 33091\/7160 - -3\/895. Find the common denominator of q and a.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/8572?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -47*b + 43*b + 42, -5*b + 20 = -3*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 26893*v + 53780. Give i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 0*o - 3*o)*(1 - 3 - 1) as s*o + q and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = a + 5, 13*a - 5*u - 22 = 9*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 31*n - 2 - 30*n - 1 - 7. Suppose -2*x + 2 = -0, -4*x + 31 = 3*l. Let a be u(l). Sort -4, 4, a in descending order.\nAnswer: 4, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12 - 7 - 7)\/(1*2). Let s(r) = -33*r**3 + r. Determine s(x).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/228 and 83\/24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**3 - 232*v**2 + 15*v + 1746. Let b be z(-116). Solve -4*w - 4*g = -g - 7, -2*g + b = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**7\/168 - h**5\/30 + 7*h**4\/24 + 9*h**3 - 15*h**2 + 2. Let u(r) be the first derivative of n(r). Differentiate u(z) wrt z.\nAnswer: 15*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**3 - 1377*n**2 + 5779*n + 918. Give r(340).\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**5 + 36*x**4 + 56*x**3 - 8*x**2 - 60*x - 28 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 3*p + 4*p)*(-1430 - 69*p + 1430) + 2 - 2 + p**2.\nAnswer: 208*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 4*g - 4*l - 2, 4*g + 4*l = -8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**4 + 120220*h**3\/3 - 841606*h**2\/9 + 641240*h\/9 - 160312\/9 = 0.\nAnswer: -20039, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9015*y - 4078 wrt y.\nAnswer: 9015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 - 0.046.\nAnswer: -73.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -10 (c) 5\/6 (d) -26\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and -71?\nAnswer: -9.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -47, -107, -173, -245, -323?\n\"Answer: -3*g**2 - 51*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + (4 - 8) - 5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -732 or -761?\nAnswer: -761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -164\/3 - -55. Suppose -p*y**4 - 1\/6*y**5 + 0 + 1\/6*y + 0*y**3 + 1\/3*y**2 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49866*u**2 - 4*u - 8838376?\nAnswer: -99732*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9198.2555 - 9215.25549996. Let s = -17 - y. Round s to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*m + 1993488, 5*f - 378202 + 1175622 = 2*m. Round m to the nearest 10000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6547.6 + -0.13836?\nAnswer: -6547.73836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghghjjxxxghjh. Give prob of picking 1 h and 1 g.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsstpstptssts. What is prob of sequence ssst?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 295.5995 weeks to nanoseconds.\nAnswer: 178778577600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l**(-1\/2)))**(-25) assuming l is positive.\nAnswer: l**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16423890 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 377594 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 226371*z**3 - 3 + 113197*z**3 + 113175*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 306.357cm?\nAnswer: 3063.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2451 (base 7) in base 14?\nAnswer: -498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**2\/3 + 5*u = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 4\/5 (c) -0.46 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + -3 + 2 - sqrt(39)\/(-1*sqrt(3) - sqrt(3))*-1.\nAnswer: -1 + 15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -661 + 661. Factor 0 + z*a**3 - 1\/4*a**4 + 0*a + 1\/4*a**2.\nAnswer: -a**2*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*v + 2 - 4 - 68*v.\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/11))**(-2\/49)*(f\/f**(-10\/3))\/(f**14*f*f) assuming f is positive.\nAnswer: f**(-18919\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1308, 1306, 1302, 1296?\n\"Answer: -n**2 + n + 1308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48425969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 440 and 139260?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 8:31 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + 0)*-2 - (sqrt(176)*2 + -3) - ((1 + sqrt(1584))*-5 + 2*sqrt(1584) + 0))**2.\nAnswer: 320*sqrt(11) + 4464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*p**4 + 205 - 205 + (4 - 2 + 1)*(2*p**2 - 2*p**2 - 3*p**4) to q*p**4 + j*p + u*p**3 + v*p**2 + t and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 9*n**2 - 9*n + 3. What is t(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 less than 6377709710?\nAnswer: 6377709504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 12)\/(-3) + 0. Suppose 682 = u*a - 875. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.2, -2\/7, 1 in decreasing order.\nAnswer: 4, 1, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 3*s - 10. Let u be r(-2). Let i be (3 + 3\/(-2))*u\/6. Sort -5, -3, i in increasing order.\nAnswer: -5, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0 = -14. Let x(d) = -d**3 - 6*d**2 + 8*d + 8. Let f be x(z). Let o(l) = 4*l + 1. Give o(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 4:24 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -5\/26 = -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2 + 0 + 3*a**2 - 4*a**2 - 4*a. Let c be f(-5). Let x(i) = 6*i + 3 + i - 3*i. Calculate x(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 0.16, -39 in increasing order.\nAnswer: -39, -2\/9, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86199 is divided by 43094.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 121 = 100. Which is the third smallest value? (a) 3 (b) 0.295 (c) u (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312318989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**2 - 24 + 14 + 10.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 525094 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*c*o + 2*c*s**2 + 6*c*s + 10*o*s**2 - s with respect to o.\nAnswer: 32*c + 10*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (10 + (-20 - 2))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11340 + -11299. Solve 0 = p - d + 47 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/6 - 103*r + 615\/2 = 0 for r.\nAnswer: 3, 615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1516\/5025 or -1?\nAnswer: -1516\/5025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, y: 1, w: 5, g: 3, p: 3}. Give prob of sequence wg.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, n: 1, z: 1, v: 1, g: 1, e: 1}. Give prob of picking 1 z and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, d: 1, o: 1, p: 2}. Give prob of sequence oaao.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.8 + -7.8. Suppose 4*d + 16 = 2*t, 2*t + 4 + 0 = -d. Which is the closest to 2? (a) 1 (b) p (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 423 divide 1815732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -342 + 527. Suppose f = 2*l + 3*o, 2*l - 5*o - 45 = 148. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.298399 - -3255\nAnswer: 3255.298399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 176229 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10230301100 + 200?\nAnswer: 10230301300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7101 divided by 2367\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 9*m + 32. Calculate s(2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 41*k**2 + k + 8. Let g be b(-41). Let i(q) = -8*q - 1. Let d be i(-1). Suppose -d*j + 8*j + 33 = 0. Is g less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115720 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 46*h**2 - 5 - 5*h**3 + 4*h**3 - 4*h - 47*h**2. What are the prime factors of k(-6)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -5*d - 3, 6*n - 3 = 4*n - d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 - -15?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 29*t - 11. Let z be g(5). Let m(b) = -b - 134 + z. Let w(y) = y - 1. Let n(d) = -10*d + 6. Let l(s) = -n(s) - 6*w(s). What is l(m(k))?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + q = -15, 3*t - 2*t = -4*q - 8. Let n = 5 - -1. Calculate the remainder when n is divided by (t\/(-2))\/((-6)\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100133120 (base 4) to base 5\nAnswer: 4130134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-756)\/14)\/54*57\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 b when three letters picked without replacement from wwxxxwbwwwx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2221011 (base 3) to base 13.\nAnswer: -c85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/50 of a second?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1\/2, -5, 0.4, -1\/164582?\nAnswer: -1\/164582","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 480\/27 - 8\/(-36). Let r = -37 + 22. Let d = r + i. Solve 9 = d*h - 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 5*g**4 + (-4*g + 0*g + 5*g)*(g**3 - 2*g**3 + 2*g**3) - 10*g**4 - 10*g**2 + 10*g**2.\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6904627 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101242503 and 458.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -34. Suppose k*o - 2*o - 48 = 3*z, -4*o = -4*z - 184. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*d + 8663 = 0, 5*b - 4*d - 3995 = 6827. Is 22 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**6\/780 - g**5\/390 + g**4\/156 + g**3\/39 + 2*g**2 + 5*g. Let s(p) be the first derivative of k(p). Factor s(l).\nAnswer: -2*(l - 1)*(l + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 186, 3, 1, -3, 8 in descending order.\nAnswer: 186, 8, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -169 - -171. Suppose 0 = -26*p + j*p + 48. Solve -4*a - p*n + 22 = 0, -3*n + 4 - 1 = -4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6 = 2. Let r = 3.1 + -2.1. Which is the second smallest value? (a) h (b) 0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12381004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31147456939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3599?\nAnswer: 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 6:18 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (9 - 12 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23682*a**2 - 4444*a + 296003727 with respect to a.\nAnswer: 47364*a - 4444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 2 - 4\/6. Let s = -3 - -1. Let f be 2*((-55)\/(-30))\/(-11). Which is the nearest to g? (a) f (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**2 + 33*h - 20826 = 0.\nAnswer: -89, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/2)\/((-2)\/(4\/2)). Suppose p + 74 = b*k, 5*k - 6*p = -3*p + 82. What is the remainder when 404\/7 + ((-24)\/k)\/(-6) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-12) + 1)*(1 - 49\/28)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {g: 1, b: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -132 + 132 + 82*a + 874*a in the form x + w*a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 2\/297, 0.4?\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5911 is divided by 422?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 150.87 + -152. Let g = -1.372 - u. Let j = -0.1789 - g. Round j to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 4*a**2 + 6*a + 8. Let f be g(-5). Solve -5*x = 4*v + 1 + 5, f*v = -12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37, -9, 61, 167, 303, 463, 641?\n\"Answer: -j**3 + 27*j**2 - 46*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3048?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 116112 to the power of 1\/2, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 20. Let t = -0.1 - -0.2. Let a = 19\/6 + -41\/12. What is the nearest to a in g, t, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -629?\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + z + 1, 4*u - 3*z = 3. Let f(x) = x**3 - x + 3. What is the units digit of f(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1285 to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 2*v**2 - v**3)*(2*v - 2*v**2 - 2*v) + 15*v**5 - 35*v**5 - 135*v**5.\nAnswer: -153*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*1*4. Let a = -11 - -16. Let c be 2\/3*(-1)\/(-8). Put c, a, o in decreasing order.\nAnswer: a, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -752*j**3 - 755*j**3 + 1512*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2408?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 3034*b + 105. Let f(u) = -20*u**2. Calculate n(f(g)).\nAnswer: -400*g**4 + 60680*g**2 + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -211121222121 (base 3) in base 9?\nAnswer: -747877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*y - 12 = 0, -i + 2*y = -0*y - 6. Suppose i = -4*v + 229 + 311. Calculate the greatest common factor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2))**31*(l\/l**(-5))\/(l**(-1\/5)*l) assuming l is positive.\nAnswer: l**(-284\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -420, -422, -424, -426, -428, -430?\n\"Answer: -2*z - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/(-3) + (-1)\/(-3). Let s(q) be the first derivative of 1\/3*q**3 + 166 + 7\/2*q**2 - 4*q. Calculate s(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -194*i**3 - 95*i - 39. Let w(h) = 194*h**3 + 96*h + 43. Let g(u) = -10*d(u) - 9*w(u). Find the second derivative of g(m) wrt m.\nAnswer: 1164*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**3 - 50*m**2 + 225*m - 611. What are the prime factors of s(-38)?\nAnswer: 3, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -34 (b) -361 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -12299.\nAnswer: -24598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4708, -9762, -14816, -19870, -24924, -29978?\n\"Answer: -5054*c + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 1656419\nAnswer: 1656419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 2 - 23 - (11 - 1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + 37. Let b = f - 65.999872. Round b to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -53*d + 4033 - 337. Solve 8*o + d - 96 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 834939 by 261.\nAnswer: 3199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/884 and -97\/2108.\nAnswer: 27404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c + 10*c + 10*c - 24*c - 5*c**2. Suppose 5*d + o = 12, 2*d - d + 4*o + 9 = 0. Let k(b) = -14*b**2 + 3*b. Determine d*k(t) - 8*m(t).\nAnswer: -2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6)*30\/(-4). Suppose -p*t = -2*f + 269, -4*f + 0*t + 4*t = -532. What is the smallest common multiple of 16 and f?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5164)\/6*((-108)\/(-8))\/(-9)?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1203*s**5 - 12*s - 4 wrt s.\nAnswer: -24060*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 143887904 or 4?\nAnswer: 143887904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/4)\/(-5))\/((-40)\/(-32) + -20 - -21).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2791331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2 - 14\/(-8)). What is the second derivative of o*c - 102 + 102 + 6*c**2 wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358230.\nAnswer: 2, 3, 5, 11941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2328037, 2328040, 2328043, 2328046, 2328049, 2328052?\nAnswer: 2328055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = r + 3. Suppose -4*x - 4*p + 14 = -r*x, -4*p = 8. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1632 = -0*o + 34*o. What is the remainder when o is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354647585.\nAnswer: 5, 70929517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - j**2 + j + 12. What is s(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 4*w = 3*w + 6*w + 26 - 3, 4*n + 215*w - 188*w = -139 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025169706 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1396474 and 309.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57 + 14 + 20)*(k - 3 + 3) in the form t*k + a and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/101 (b) 8 (c) 137 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.384 + 0.265. Let z = 10.259 + c. Round z to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/552 (b) 1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1727495 is divided by 186?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 30000130 (base 4) to base 6\nAnswer: 1015404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5826 = -3*b + 4608. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1871 a factor of 145790191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11756, 1\/4, -5?\nAnswer: -11756","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 11*t + 10. What is a(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4. Let z = 2 - v. Let u = 0.1 - 0.1. Which is the nearest to u? (a) z (b) 0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a61 + 32?\nAnswer: -a2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*c + 6*i + 78, 50 = 3*c - 5*i. Suppose 0 = 5*z - 0*z - c. Suppose -z*j + 4*g = -83, 4*g - 52 = -2*j - 10. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/298 in -0.2, -2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -45\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.44 * 0.022501\nAnswer: 0.00990044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4005 is divided by 698.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*a**5 + 132\/5*a**2 - 102\/5 - 76\/5*a**3 + 74\/5*a - 6*a**4 = 0. What is a?\nAnswer: -3, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 (base 6) in base 14?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(120)\/sqrt(10) - ((sqrt(12) + (sqrt(108) + 1*sqrt(108))\/sqrt(9))\/sqrt(4))**2) + -2.\nAnswer: -31 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 280261 by 8.\nAnswer: 280261\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905017?\nAnswer: 113, 8009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38\/17*y + 2\/17*y**2 + 120\/17.\nAnswer: 2*(y - 15)*(y - 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a minute in seconds?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/10*6*25\/(-60)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4082968 is divided by 816581?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t + 48. Let l be z(-11). Let a(n) = 8*n - 38. Let k be a(5). Solve -k*q = l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -848, 5, -26, -1, 1 in descending order.\nAnswer: 5, 4, 1, -1, -26, -848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 15339462.6 to the nearest 10000.\nAnswer: 15340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14710096 by -14710096.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - 23 - (0 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1660100755.\nAnswer: 5, 337, 353, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 4:35 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2003*s + 16. Let f be b(-8). What is the remainder when f\/(-27) + 23\/207 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 i, and 1 n when three letters picked without replacement from {n: 1, m: 2, x: 2, f: 2, d: 1, i: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-7))\/(10\/5).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 50598.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 0.11, 5, 1.7, 2, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/5 + 44\/20. What is the second derivative of m**l + 3*m**2 - 2*m - 3*m**2 + m**2 wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 20 = -5*f - 5*u, 4*u = 2*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 47*l**3 - 25*l - 4. Let o(w) = -97*w**3 + 48*w + 7. Determine -4*o(j) - 7*v(j).\nAnswer: 59*j**3 - 17*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 648 and 378.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**7\/630 + s**6\/120 - s**5\/180 - s**4\/24 + s**3\/9 + 6*s**2. Let y(b) = 0. Calculate b.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 76) + (-7 - -10) + (15 - 13)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, -2, 4, 12, 22?\n\"Answer: o**2 + o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 35*w - 14. Let o(d) = -44*d + 18. Let g(k) = 5*o(k) + 6*t(k). Give g(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2294908 is divided by 78.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4198 to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22952.\nAnswer: 2, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - -6. Suppose p = -5*d + 147. Let o = 107 + d. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 501*c = 509*c - 3416. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-22) - -10*(-12)\/(-66). Suppose 5*h - 5*w = -430, -d*h - 4*w + 260 = -5*h. What is the common denominator of -7\/55 and 454\/h + (-11)\/66?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -324*a**2*n**3 - 80*a**2*n**2 - a**2*n - a*n**2 wrt n?\nAnswer: -1944*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 390547853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -12 - 2\/75*q**5 + 3\/5*q**2 + 0*q - 2\/15*q**3 - 1\/6*q**4. What is h in o(h) = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by (-645)\/(-35) - 6\/14?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 23 - 11. Calculate the highest common factor of k and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73711 and 1705?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(272)*-3.\nAnswer: -72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90121 - -138938. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v + 9 = b, -3*v + 7 = 2*b. Solve 0 = 2*d + 4*c + 30, -b*d + 2*c - 40 = 5*c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17014 - -10001. Suppose -i = -139*c + 136*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, -3, 4108\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and (16\/(-6))\/((-8)\/12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -155*y**3 + 2*y**2 + 9*y - 9. What is the smallest common multiple of 4 and w(-2)?\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 4, -1\/5, -1, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-24)\/5)*260\/(-325)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*z - 4 = 124, -5*t - 216 = -4*z. Sort t, 1, 2 in descending order.\nAnswer: 2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 4:12 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**2 - 36*l**2 + 3*l**2 - 36*l**2 to the form s*l**2 + j*l + i and give s.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32, -49, -54, -47, -28?\n\"Answer: 6*z**2 - 35*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/8)*(((((z*z\/(z\/z**(1\/2)*z))\/z)\/z)\/z)\/z)\/z)\/((z\/z**1)\/z*z)**34)\/((z**6\/z)\/z*z**(-6\/5))**(-1\/18) assuming z is positive.\nAnswer: z**(-1609\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513465618?\nAnswer: 2, 3, 101, 547, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9d64 (base 16) in base 14?\nAnswer: -10980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + -0.1. Let z = -1.3 - 0.2. Let d = z - -0.5. Which is the smallest value? (a) -3\/5 (b) p (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2 - 865*l + 857*l + 8 - 25*l**2. Let i(s) = -7*s**2 - 3*s + 3. Give 14*i(j) - 5*v(j).\nAnswer: 2*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 18 = 4*z, -2*z = -4*y + 6*y. Suppose -4*p - 17 + 2 = 5*o, 9 = 4*p - z*o. Which is the third biggest value? (a) -0.3 (b) p (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 2:27 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1841540)\/(-30))\/(18\/297) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -5802 + 972. Is v a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -11*i + 4*i + 29*i**2 - 3*i + 22 - 8*i + 34*i. What is the tens digit of p(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -40?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/15)\/m)\/m**1*(m**(1\/3))**(-2\/85) assuming m is positive.\nAnswer: m**(-223\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -225204590 divided by 17323430\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 320143?\nAnswer: 320145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 2)*(-5*z + 4*z + 3*z) - 236 + 236 + 16*z)*(-2*z**3 + 2*z**3 + 2*z**3).\nAnswer: 24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(26) - (sqrt(1664) + sqrt(1664)*1 + sqrt(1664)))\/(5*1*sqrt(2)))**2.\nAnswer: 247572\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*h + 68 - 91*h**3 - 30*h + 65*h - 69 as q*h**2 + z + o*h**3 + j*h and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1002823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 17 - 2 - (-1111 + 1095)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 8*f. Let z(i) = -27747*i. Give z(l(c)).\nAnswer: -27747*c**2 - 221976*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - m + 1 = 0, z + 0*m + 9 = 2*m. Let s be (-1 - -2)\/(z - (-136)\/132). What is the second derivative of 33*a**2 + s*a**2 - 4*a - 58*a**2 wrt a?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - -4 - (118 - 81) - -40\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a32 (base 12) in base 5?\nAnswer: 21403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485546 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75.1, 5, 0.2057.\nAnswer: 0.2057, 5, 75.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1047 + 1096. Solve a = -13*x - 16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + 9*v + 2*v**2 - 9*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/7389 and -31\/5597578?\nAnswer: 50378202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*s - 27, -2*s - s + 11 = 4*x. What are the prime factors of 4\/(s - 1)*-34?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12082*j + 1535*j - 21094 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 7*v + 4. Suppose -4*u = -v*b + 15 + 3, 0 = -4*b - 5*u - 29. Let r(c) = 12*c**2 - 8*c**2 + 9*c**2. Determine r(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -49\/4, -2, 4, -2\/11, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 2*q + 6*q**2 - 4*q**2 + 3*q**2 + 4*q**2 + (-q - 2*q + q)*(q - 2*q - q).\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-2 + 5 - 16) + 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*(x\/x**(-9\/7)*x)\/x))\/x**4*x**4\/(x\/x**9) assuming x is positive.\nAnswer: x**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 h when two letters picked without replacement from {s: 4, h: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3 + 66*m**2 = 0.\nAnswer: -66, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 765535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 73.4*-299\nAnswer: -21946.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g**2 - 23*g**2 + 7*g**2 - 8*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 1:12 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1213\/7*v**2 + 5772\/7*v + 1\/7*v**4 + 6084\/7 - 74\/7*v**3.\nAnswer: (v - 39)**2*(v + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 37*r**4\/3 - 32*r**3\/3 - 4*r**2. Let m(x) = 23*x - 5. Let o(b) = 64*m(b) - 5*z(b). Let w(p) = 2*p. What is o(w(d))?\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/10)*t*t**(2\/3))**(-50) assuming t is positive.\nAnswer: t**(-265\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7826015?\nAnswer: 5, 1565203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3 + 9, 0 = d - 3*w - 11. Let b be d*(-3 - 106\/(-10)). Let c = b + -11. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 590*b**6\/3 + 158*b**3\/3 + b + 536. Find the third derivative of t(v) wrt v.\nAnswer: 70800*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m, 3*z + 5*m - 9 = -0*m. Let s = z + 31. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5213400 rounded to the nearest 10000?\nAnswer: 5210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 285163121 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 173 + 163. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -182 (b) 3\/17 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 511565 + 14?\nAnswer: 511612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 17*g**3\/6 - 11*g**2\/2 + g. Is 19 a factor of k(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 6. Suppose -25 = v + g + 5, 4*v - f*g = -106. Let d = v - -50. Calculate the remainder when d is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552 = -6*n - 6*n. Let h = -44 - n. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i + 204. Let v(l) = -3*l + 68. Let u(a) = -17*v(a) + 6*z(a). Let c be u(21). Solve c*g + 6*p - 4*p - 20 = 0, 3*g - 4*p - 12 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.63 or -3\/5?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1024, 1\/6, 0.5, -5, 56, -1\/3 in decreasing order.\nAnswer: 56, 0.5, 1\/6, -1\/3, -5, -1024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v**2 + 14*v**2 + 8*v**2 - 47*v**2 + 10*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00137148 to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 3*p**2 + p**2)*(-1 + 2*p**2 + 1) - 5*p**4 + 12 - 12 + 3*p**3.\nAnswer: -3*p**4 + 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 + 34 - 28)*(3 + 7 + 1)*(-4 + 1 + 2 - r).\nAnswer: -671*r - 671","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 + 0.59. Let o = -1725 - -1724. Sort -1\/3, o, d in increasing order.\nAnswer: o, -1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 98050662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010001100111001011 (base 2) to base 13.\nAnswer: -240a3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -56?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3\/3 + 2*g**2 + 8*g\/3 - 8 = 0?\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + (2 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -7 - 4 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601942603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 155 and -17.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.083 * -2112604\nAnswer: -175346.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 8}. What is prob of picking 2 p?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9271837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 96 = -5*y. Suppose -2*r = -0*r - y. Suppose -4*z = -5*z + r. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**3\/3 + 2. Let c(d) = d**2 - 3. Let j(o) = 2. Let g(i) = -2*c(i) - 3*j(i). What is w(g(m))?\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -1\/188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 3*z + 7. Suppose 4*n = 3*n + 7. Let r = n - 12. Is 17 a factor of h(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560.1213664 rounded to one dp?\nAnswer: 560.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2 - 8, -4*j = -4*y. Let m be (-1 - 127\/1)\/y. Suppose -3*a = -8*a - 3*v + 80, 3*a - 4*v = 48. Calculate the greatest common factor of m and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3294 + -3299. Let u(n) = n**2 - n. Let s(y) = -10*y**2 + 7*y. Give w*u(a) - s(a).\nAnswer: 5*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2121 - 2124. Which is the nearest to 0? (a) -2\/11 (b) h (c) -0.286\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320539772 a multiple of 1478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Suppose 1702*n - 7 = 1709*n. Let m(v) = -7*v**2 - 8*v. What is n*m(t) - 6*q(t)?\nAnswer: 7*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73 or 1259\/12?\nAnswer: 1259\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -8. Suppose 4*n + 2*r = -0*r + 28, 0 = -r - y. Calculate the remainder when 16 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10722 (base 15) to base 16\nAnswer: cc08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2633 - 2622. What is the lowest common multiple of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26234 - 26235. Let z be ((-5)\/(-164))\/(3\/12). Which is smaller: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 2:11 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 14 = 12. Suppose -t*a - 9 = 5*h, -3*h - 19 = -4. Solve 0 = f + f + a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 255 + 208*y - 255 to the form j + f*y and give f.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -51. Let i = 25.96 - c. What is i rounded to 1 dp?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36669 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*w - 18*w - 180 + 1090 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1148406 and 10.\nAnswer: 5742030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -188425?\nAnswer: -188431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.51 + 0.49. What is the smallest value in -3, n, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {s: 2, l: 10, a: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11535 divided by -5?\nAnswer: -2307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 26*x - 868. Solve -11*k + 18*k = x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 852 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 606 divided by -4.\nAnswer: -303\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19116.65 rounded to the nearest one hundred?\nAnswer: 19100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -2. Suppose -t*q = -2*m - 90, 3 = 5*q + 4*m - 117. Let o = q + -19. Solve -h + 0*f + f - o = 0, -4*h - 4*f - 12 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 181 - -7880. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.39 - 0.01. Let g = -0.3 - p. Let s = g - 1.1. Which is smaller: 1\/4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 507381 and 303.\nAnswer: 51245481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Suppose l + 44 = o*l. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-238)\/1180 - (-1118)\/55900*10*2\/4?\nAnswer: -6\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/12)\/(4\/6). Let u be (-4 - (3 + -2))\/h. Suppose u*k = -4*x + k + 8, -k = -x + 12. Put 1, x, -3 in ascending order.\nAnswer: -3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*w**2 - 110 - 46*w - 112 - 113 + 328 wrt w?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 22 = -y + 6*y, -u + 4 = 2*y. Let b = -2275 - -2276. Calculate the greatest common factor of b and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299*x - 166508 = 471259. Calculate the least common multiple of 2 and x.\nAnswer: 4266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -76*s + 292. Calculate y(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -978 divided by 3\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9640?\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7f - -1dd5?\nAnswer: 1d56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -7*x**6\/30 - x**4\/2 - 4*x + 2. Let q(k) be the first derivative of z(k). Find the third derivative of q(l) wrt l.\nAnswer: -168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11613 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108772 and 1271042.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(136) - (4*(sqrt(136) + (sqrt(136)*-1 - sqrt(136))) + sqrt(136))) + -2*sqrt(136)*2))\/(2*sqrt(648) - sqrt(72)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 38, 0, 3.9?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222310355 and 15105.\nAnswer: 5035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n**3 - 97*n**2 + 14*n + 34. Let j be (1 - -2 - 23)\/((-45)\/36). Calculate q(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - 4*r + 4*r)*(-3 + 4 + 1 + (2 - 1 - 4)*(-4 + 2 + 0)) - 13932 + 2603*r + 13932 in the form t + q*r and give q.\nAnswer: 2619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.48 - -0.12. Is 0.1 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34126656, -34126665, -34126674, -34126683, -34126692, -34126701?\n\"Answer: -9*b - 34126647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 8 = 15. Suppose -3*h = -37 - u. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.5 - 19.5. Let j = -14 - s. Let d = -12 + j. Which is the smallest value? (a) -0.3 (b) d (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15\/8222 + 246259\/125969262. Is f at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -170*d + 266 + 74 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -762, -760, -758, -756?\n\"Answer: 2*u - 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*g - 35 + 143, 315 = 3*o + 3*g. Let q be o\/(-24) + 2\/8. What is the units digit of (74\/q)\/((-34)\/8 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -0.3, -1\/5, -2\/3, 1 in decreasing order.\nAnswer: 33, 1, -1\/5, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 - 3*m**4 + 2*m**4)*(3*m + 2*m - 4*m) + 5*m**5 + 12*m**4 - 12*m**4.\nAnswer: 3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3792288553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 4 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 107411926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*d - 142*d = -1424. Solve 3*f + 4*h - 15 = 7*h, 4*f - 2*h - d = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47395477 and 18.\nAnswer: 853118586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 275984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d - d)*(-2*d - 1 + 1) + d**2 + 3*d**2 - 3*d**2 + 3*d**2 - 5*d**2 + 3*d**2 + 2*d**2 - 2*d**2 - d**2 + (0*d + 2*d**2 + 0*d)*(-834 - 641 + 465).\nAnswer: -2017*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55, -26, 5, 38, 73?\n\"Answer: x**2 + 26*x - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -295950 divided by -3.\nAnswer: 98650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 25*k - 32. Determine o(-23).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkx when three letters picked without replacement from {k: 6, x: 3, p: 1, u: 6, v: 2, z: 2}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1\/4, -13\/6, -1\/3, -3, -2\/11 in descending order.\nAnswer: 7, 1\/4, -2\/11, -1\/3, -13\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/3 + (-1)\/3. Find the first derivative of 6*b + n*b + 2 - 8*b + 3*b wrt b.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 6:09 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -11*a**2 - 132*a - 63. Calculate the remainder when 15020 is divided by t(-11).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14073 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 11*b + 2. Let c be (-50)\/(-5) - -1*1. Let o be (-7 - -5) + c\/1. What is the tens digit of f(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1203 and 43\/((-1591)\/(-356088))*1\/3?\nAnswer: 9624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2283440927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**5 - 57*o**3 + 13*o**2 + 648*o wrt o?\nAnswer: 40*o**3 - 342*o + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -209112 to the nearest one thousand.\nAnswer: -209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.131 - 9.369. Let z = j - -9. Which is the nearest to -0.05? (a) z (b) 3 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 9. Suppose l - 5*q + 91 = 2*l, -l + 4*q + 64 = x. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 15*z**3 + 5*z**2 + z + 1. Suppose -330 = -31*l - 742 + 257. Let w(c) = -22*c**3 - 7*c**2 - c - 1. Calculate l*w(t) - 7*k(t).\nAnswer: 5*t**3 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = 15. Let y = l + -2. Suppose -6 + 21 = y*b. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*t**2 - 18*t**2 + 21*t**2 + (-5 - 2 - 5*t - 2*t)*(-4*t + 2*t + 1 + 2).\nAnswer: 47*t**2 - 7*t - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -909 and -909 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.96 + 1.06. What is m rounded to 1 dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -13.9. Which is the second biggest value? (a) -4 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2.5. Suppose 2*l + 6 = l + 4*b, 5*l = -5*b - 5. Let q be 0 + (-2)\/l - 1. What is the second biggest value in j, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 10*g**2 + 11*g + 7. Let p be l(-11). Suppose 5*h + p = -8. Let u = -77\/26 + 6\/13. Is h at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 17 = o, -5*q - 55 = 33*o - 28*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 376 and 2994323.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -1\/2*b**2 - 11*b + 11. Determine g(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1441, 4, 12, 10, 527 in increasing order.\nAnswer: -1441, 4, 10, 12, 527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049845 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*f - 9*f - 832 = 0. Solve f*o = 8*o - 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*o - 42*o - 8*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(57)\/(sqrt(3)*-1))**2 - (-2 + sqrt(76))) + (sqrt(4617)*-1 - sqrt(4617))\/sqrt(3).\nAnswer: -19*sqrt(19) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 743779946 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*w + 0*w = -16, 2*w + 6 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 + 0*d**2 - d**2 + (-158*d - 128*d - 1048*d)*(d + d - 3*d) - 7*d**2 + 3*d**2 + 20*d**2 - 1 to k*d**2 + q + a*d and give k.\nAnswer: 1351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/32 and -67\/30087832?\nAnswer: 120351328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4521?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 311\/(-6) - (-4)\/(-48)*2. Let m = c - -54. Solve 3*n + 6 = -3*x - 3, 0 = m*x - 3*n + 16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5, -2, 17 in ascending order.\nAnswer: -12, -2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + 1.8. Suppose -2*x = -28 + 10. Suppose 2*k - 5*k = -x. Which is the third biggest value? (a) v (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*n**2 + 1 - 1)*(0 + 0 - n) - 11*n**3 + 8*n**3 - 6*n**3)*(-35379*n + 12*n**2 + 35361*n - 5*n**2).\nAnswer: -77*n**5 + 198*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11728*d**3 - 369*d**2 + 9.\nAnswer: 70368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11301312122 (base 4) to base 2.\nAnswer: 101110001110110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15614 + -15632. What is the third biggest value in -6\/11, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -803, -1951, -3435, -5255?\n\"Answer: -168*q**2 - 644*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378304.\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 6 + 2 - 8 - 2 - 17*q**2.\nAnswer: -17*q**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 781186785 a multiple of 617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -826\/135 greater than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 551 and -3165\/86 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -2.2, 1, 1058, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076529 a multiple of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzhhhzf. Give prob of sequence hzzf.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/30166136 and 19\/28.\nAnswer: 30166136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1284)\/(-14)*3136\/1344)\/((-6)\/3).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1372 is divided by 679.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10771.\nAnswer: 10771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(1745*w + 62*w**2 - 2 - 1745*w).\nAnswer: -124*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 3:43 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1367 and -8.\nAnswer: -1.0936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 >= 433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**4\/4 - 5*c**3\/3 - c**2 - 5*c + 4. Let s be y(-5). Find the third derivative of -s*a**3 + 4*a**3 + a**2 - 7*a**3 wrt a.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 1170\nAnswer: 4680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 16*x**2 + 3*x - 5. Let h(y) = 66*y**2 + 6*y - 21. Calculate 21*b(s) - 5*h(s).\nAnswer: 6*s**2 + 33*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*k + 41994, k + 0*b = -b + 20995. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**6\/24 + y**5\/12 - 5*y**4\/24 - 5*y**3\/6 + 4*y**2 + 8*y. Find v such that d(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:57 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 12*b. Let r(s) = -s - 8. Let m be (-4 - -2)*13\/2. Let q be r(m). Let f(i) = -q*i**2 + 3*i**2 - 3*i**2 + 4*i**2. What is g(f(l))?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.76 (b) -74 (c) 2\/5 (d) 0.225\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5689804363 to the nearest integer?\nAnswer: 75431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -o - 67, 5*p = -o + 32 + 63. Let i be 2\/4 + 66\/12. Suppose -i*g - 20 = -8*g. What is the remainder when p is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b + 5. Let a(d) = 76303*d. What is a(g(n))?\nAnswer: 381515*n + 381515","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 + 4*l**2 - 14347*l**3 + 14422*l**3.\nAnswer: 75*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a meter in millimeters?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805379510?\nAnswer: 2, 5, 13, 677, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498914 is divided by 166301?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 483783767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-9)*2*18\/(-8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c8103 (base 14) in base 7?\nAnswer: 4051403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/(-41)*1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 6:53 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, i: 2, c: 1, k: 4}. Give prob of sequence cbk.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, -5, 0, -2, -218 in decreasing order.\nAnswer: 0, -2, -5, -95, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 - w. Let i be t(1). Solve 3*c = -z - 15, -i*z + 2*c = -4*z - 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(1100)*1 + sqrt(1100) + -1 - sqrt(1100)) + -4)*-4)**2*4.\nAnswer: -432000 + 38400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7410 = -2*t + 4*p, -13*t - 4*p = -8*t - 18581. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8832c7 - -3?\nAnswer: 8832ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 1 - 19)*(-3*j - 2*j + 3*j) in the form o*j + b and give o.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 5.3 (c) 2 (d) -49 (e) 5 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m**3 - m**2 - 4*m - 10. Let n(f) = 9*f**3 + 3*f**2 + 8*f + 21. Let z(w) = -4*n(w) - 7*y(w). Let d be z(-5). Solve 13*i - d*i = 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 11 - 2*o**3 + 2*o**3 - 2*o**3.\nAnswer: -2*o**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 17 = i. Let w = 34 + -11. Calculate the remainder when w is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*v + 15 = 60*v. Suppose -12 = -2*p - 5*z - 17, 25 = 2*p - v*z. Solve -p = -w - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2 - 0. Suppose -29 = -5*u + l. Suppose 0*n + f - 19 = -5*n, -2*n + 11 = -3*f. Calculate the lowest common multiple of u and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-630)*-21 + (-54)\/(-20). Solve -p - 5*y = 14, 11*y - 20 = o*p + 15*y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, d: 5, o: 1, b: 8, a: 3}. What is prob of sequence ddbo?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**3*s*w + 3*i**3*s + 93*i**2*s - 2*i**2 + 401*s*w + 138*w + 206 with respect to w.\nAnswer: -2*i**3*s + 401*s + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 467*s**2 - 585*s**3 + 52129 - 2*s**4 + s**4 - 52129 wrt s?\nAnswer: -24*s - 3510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 805536.35 to the nearest 100.\nAnswer: 805500","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 2223147383 minus -0.5?\nAnswer: 2223147383.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -4, -3\/28, -16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73571 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - ((-3 - 1) + 0\/2). Let u be 195\/(-12)*(1 - 5). Find the third derivative of -86*w**2 + c*w**3 + u*w**2 - 27*w**3 wrt w.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18892913 is divided by 215?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*v - 30*v - 41*v)*(-2 - v + 2) to z*v**2 + k*v + o and give z.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.03, -0.2, -162\/7, 1 in decreasing order.\nAnswer: 1, 2\/5, 0.03, -0.2, -162\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3300695199?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 144 - 97. Does 20 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 3025*q**7\/7 + 784*q**3 - q - 1291. What is the third derivative of w(x) wrt x?\nAnswer: 363000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 17 = 5*k + 5*l, 4*k = 4*l - 36. Let q = -31 - k. Let t = q + 35. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 278*w**2 + 2*w + 4. Suppose 12 + 12 = -4*j. Let b be v(j). Round b to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**4 + 343468*q**3 - 1373792*q**2 - 1373872*q + 5495232 = 0?\nAnswer: -2, 2, 4, 85863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 8 - 4*a**2 + 2 - 5*a**2 - 10*a. Suppose -4*d = 2*n - 36, -39 = -5*n + 4*d - 5. Calculate l(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/13? (a) 5 (b) -2\/13 (c) -2\/5 (d) 0.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110442?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2824553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15108 is divided by 3775?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1771 and 1771.\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + d = 54. What is the smallest common multiple of 8 and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 269.4033 millilitres?\nAnswer: 0.2694033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 40 (b) -7 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 12*l**2 + 6. Let i be v(12). Suppose 0 = -0*x + 2*x - i. Sort x, 7, 4 in decreasing order.\nAnswer: 7, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b - 1. Suppose 37*w = 7*w + 8 + 22. Let c(n) = -1. Let l(g) = -2. Let t(p) = -c(p) + l(p). What is w*k(m) - 2*t(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -9\/7847329?\nAnswer: -9\/7847329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + q - 6 - 1 = 0, -q = 3*w + 13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 2\/7, 3\/5, 10\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9686?\nAnswer: 2, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -200.1 * -7.\nAnswer: 1400.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525*p - 537 + 5432*p**2 - 20*p**3 + 2092*p + 3185*p + 4921 + 8384*p = 0. Calculate p.\nAnswer: -2, -2\/5, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 18 = -3*d, 5*d - 5*q - 10 - 20 = 0. What is the highest common divisor of 18 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*k + 66*k + 42201 = 8419. What is the remainder when 1359 is divided by k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 1610*i.\nAnswer: -5*i*(i + 322)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5511293 is divided by 1552?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 4:21 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*f + 135*f - 16*f to the form v + c*f and give c.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10d - 322aa?\nAnswer: -323b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -795917, -1591820, -2387701, -3183548, -3979349, -4775092, -5570765?\nAnswer: -6366356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2979, 11890, 26735, 47508, 74203, 106814?\nAnswer: 145335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4944 + 575. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2052.4 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 141, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 14.04. Let a = r - 0.36. Let i = 0 + 0.1. What is the closest to i in a, -0.5, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 33802292 + 16901142 + 16901150.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 901 divided by -334\nAnswer: -901\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10*h**2 + 2*h - 1. Let j be l(1). Let v be (-12 + j)*(-1 + 2). What is the nearest to -0.1 in 0.2, -2\/9, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 164069970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/7 + 24\/84. Put 2, u, -2\/9, -2 in decreasing order.\nAnswer: u, 2, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 j, and 1 i when four letters picked without replacement from zsiivzvsjivkkskvsvv?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pipmiiuiuiximpopo. What is prob of picking 1 m and 1 i?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/10 + 2)*-150. Let x(a) = a**3 + 7*a**2 + 8*a + 14. Let d be x(-5). Calculate the highest common divisor of d and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 990664839.\nAnswer: 990664834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 176\/4305383?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6 = 9*y - 10*y, 3*p + y + 24 = 0. Let j be (-2 + (-2 - -5))\/(3\/p). Let h = 7 - 15. What is the third biggest value in 0.5, h, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 13\/24*y**6 + 9\/4*y**5 + 326*y**2 + 0*y**3 + 0*y**4 + 0 + 0*y. What is the third derivative of q(o) wrt o?\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 342*s - 26. Let t(z) = -86*z + 7. What is 9*t(h) + 2*u(h)?\nAnswer: -90*h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*m - 5*n + 27, 15 = 2*m + 5*n. Let r be (-110)\/(-33) + 2\/(-6). Suppose 0*y + y = 0, 3*s = r*y + 3. Sort s, -3, m in decreasing order.\nAnswer: s, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 821, -5, 4, 64, 5 in descending order.\nAnswer: 821, 64, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -604250 to the nearest 1000.\nAnswer: -604000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t*t**(4\/23)))*t)\/t**4 assuming t is positive.\nAnswer: t**(-19\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -331166 divided by 1?\nAnswer: -331166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1379*q**2 - 126*q**2 + 571*q**3 - 6*q**4 + 4*q**4 - 93*q**2 + q**4 wrt q.\nAnswer: -24*q + 3426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -15 (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhpmook. Give prob of sequence of.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3200069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-12) - 15978\/(-36). Suppose z = t + 2*t - 3*a, 20 = -4*a. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l**4\/5 + 1424239*l**3\/5 + 72446816034*l**2\/5 + 39325928868*l - 12418791480 = 0 for l.\nAnswer: -101730, -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 4*p + 6. Let q be t(-4). Suppose -7*z + 27 = -q*z. Find j, given that 4*j**4 + j**2 + z*j**5 - 5*j**2 - 25*j**5 - 2*j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -113*d**3*g**4 - 2*d**3 - 4*d*g**4 - 12*d*g**2 wrt g?\nAnswer: -2712*d**3*g - 96*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 16*t - 27. Let g be s(-18). Solve -17 = w - 4*w - 4*y, -3*y = -5*w + g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -188, -337, -442, -503, -520?\n\"Answer: 22*d**2 - 215*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1. Let v(d) = -2*d**2 - 9*d - 12. Let x be v(-6). Let q be (-12)\/x*(1 - 6). Let w(u) = 1 + 18016*u**2 + 1 - 18013*u**2. Calculate q*y(r) - w(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -1168?\nAnswer: 116f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -934 - -1671. What are the prime factors of q?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61303 - -3678059\/60. What is the common denominator of m and (4\/(-400))\/((-58)\/(-1189))?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33f0 (base 16) in base 11?\nAnswer: 9a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 6:15 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u**2 - 6*u + 18. Let b be m(6). Let i = 1233\/4 + b. Let g = 0 + 1. Which is smaller: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to 195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379821847?\nAnswer: 73, 5203039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17 + -0.33. Sort 6, l, -0.2 in increasing order.\nAnswer: l, -0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150 - -659. Suppose 4*c = 663 + k. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 1, l: 1}. Give prob of sequence xv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984610 is divided by 57916?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + 2*t - 4*t)*((2 - 2 - 2)*(3*t + t - t) - 4*t + 4*t - 3*t) as m*t + a + s*t**2 and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23707643?\nAnswer: 23707643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 440645 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-93)\/((-41013)\/(-196)))\/((688\/18)\/(-4)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 105 = 439. Suppose 0 = -w + 4*w - 48. What is the greatest common factor of w and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*j - 8, -4*j + m - 4 = -j. Suppose j = -8*v + 3*v. Suppose v = 5*x - 1 - 9. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - -2 - (3 + -77). Suppose -4*m = 673 - r. Is (-10)\/35 + m\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12698 or 12699?\nAnswer: 12699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 122.\nAnswer: 48.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -194648 (base 13) in base 11?\nAnswer: -3a6546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*f**2*x**3 - 3*f**2 + 8*f*x**3 - 58*f - 828*x**3 + 355*x wrt f.\nAnswer: -22*f*x**3 - 6*f + 8*x**3 - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 6. Let q = -10 + 10. Let m = q - 0.3. Sort m, 0, k in ascending order.\nAnswer: k, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20315 (base 7) in base 11?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -209, -5, 5, -3, -4, 1 in ascending order.\nAnswer: -209, -5, -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 237, 473, 709, 945, 1181, 1417?\n\"Answer: 236*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 7. Let w(d) = -1. Let z(y) = 2. Suppose 561*g = 557*g - 24. Let j(s) = g*z(s) - 13*w(s). Let r = 0 - 1. Determine r*t(l) + 5*j(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by 5.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + h - 32602 = -2*s, -19566 = -3*s + h. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 750\/80*14784\/(-4158)?\nAnswer: -100\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*j - 15, 0 = 5*m - 2*j - 9. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/60)\/((-9)\/(-18)).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -63*u**2 + 3275*u + 61. Calculate i(52).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 0)\/(-4 + 6\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 342833 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*c + 7 = 0, 0 = 5*k - k - 4*c - 20. Solve -33 = -5*p + 4*w, p - k*w = 6*p - 21 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1806 and 172.\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1842603 + 3*o**2 + 921263 + 921340.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = k + 3, 5*v = -4*k - 3 - 9. Suppose -12\/5*y**3 - 3\/5*y**2 + 0*y + v = 0. Calculate y.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54507*d + 54512*d + 13 = s, -5*s = -2*d - 65 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-7)\/(-1862)) - -1. What is the third derivative of 4*y**3 - 267*y**4 - 8*y**6 + b*y**4 - 11*y**2 wrt y?\nAnswer: -960*y**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1540362498\/(-16) - 17\/(-136). Let a = g + 148692656. Round a to the nearest one million.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 92.\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 5) to base 13.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67899 or 68611?\nAnswer: 67899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 11233846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 7540 = -4*s, -61*w + 5662 = 3*s - 59*w. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2154 + 5?\nAnswer: -2149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 17936*k + 144*k**4 - 4306 + 2413*k**3 + 7412 + 7002 - 349*k**3 + 9748*k**2 = 0.\nAnswer: -7, -19\/6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139312406 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13363 is divided by 2125?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/3 - -7) + 2\/(-6). Suppose 6 = -y*p + 7*p. Solve 0 = p*o + 3*r + 2*r, 2*o = 5*r + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + -1. Let u = -17.2 + 15.2. Let j be -1 - -6*(-3)\/(-15). Which is the third biggest value? (a) v (b) j (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 98, 119, 120, 95, 38, -57?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 0 - 2*k**2 + 0*k**3 + 1 - k**3 + k. Let r(z) = -z**2 + 2*z + 1. Let b = 1 + 2. Let v be r(b). Give a(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 2, q: 5, j: 3, y: 1}. What is prob of sequence aq?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0.13, -126?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 - 14*p**2 + 18*p + 41. List the prime factors of b(-11).\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3668, -14823, -33404, -59405, -92820, -133643?\n\"Answer: u**3 - 3719*u**2 - 5*u + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**3 - 4*y**2 + 11*y - 58. Calculate u(5).\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnn when three letters picked without replacement from qnqnnnnnn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 8 (b) -457 (c) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 84*d**2 + 174*d + 143. Give t(-86).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -59, -108, -171, -248?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 + 26 + 2*j - 49 to the form w*j + g and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 5 + 5)*(3*s**2 - 2*s**2 + 2*s**2) + (44 - 6*s**2 - 44)*(-5 + 3 + 13)*(-3 + 5 + 0) to t*s**2 + a*s + c and give t.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 4 - (-71 + 69)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**6\/360 + w**5\/120 + w**4\/3 + 4*w**3\/3 + 8*w - 7. Let n(d) be the third derivative of j(d). Give n(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 65443905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + k**2 + k - 25. Suppose -4*b - 15 = -4*z + 1, 2*b + 4*z - 16 = 0. What is d(b)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 40 = -0*m - 4*m, 13 = 5*m + 3*i. Suppose 0 = 2*s + u - 157, -s + 16*u = 14*u - 66. Suppose -10 = s*f - 77*f. Solve -m*a = -f - 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2 - 1 + 7*w + 2*w**2 - w**2. Suppose a - 6 = -2. Suppose -a*g - 22 - 2 = 0. Give k(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmd when three letters picked without replacement from {e: 2, d: 4, z: 1, m: 4}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6276577604 to the power of 1\/2, to the nearest integer?\nAnswer: 79225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406*s - 403*s - 795 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/2, 1\/4, -8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/703 - -1432\/9139. What is the nearest to 0 in 4, 2\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + sqrt(2) + 2) - (-3 + sqrt(2) + 0 + -3))**2.\nAnswer: 24*sqrt(2) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*q - 29. Suppose 0*s - 5*a + 15 = 3*s, 3*s - 2*a = q. What is the second derivative of 0*d - d**5 - d**s + 3*d wrt d?\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -1\/2*f**2 + 0 + 16\/3*f**4 - 2\/3*f**3 + 5*f. Is o(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*o - 5*o + 2*o)*(1 - 1 + 2)*(4 - 9 + 0*o + 8*o) to h + n*o**2 + j*o and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*y + 5*r - 285, 55 = y + r. Calculate the smallest common multiple of 18 and y.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/((-3)\/2))\/(2\/2). Let a(h) = -11*h - h - 3*h + 3 - 4*h. What are the prime factors of a(w)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**6\/q)*q**6)\/((q\/((q*(q\/(q*q**1))\/q*q*q)\/q))\/(q*q*q*(q\/q**(-6)*q)\/q))*((q*q\/q**(2\/3))**9)**44 assuming q is positive.\nAnswer: q**539","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -147.3 - -180. Let f = -32.893 + q. Round f to 2 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 46356.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r = -7*r - 108558. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.641 + -0.059. Let d = -1.3 + y. Let f = -0.3 + 0.1. What is the nearest to f in d, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120736 and 686.\nAnswer: 120736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 + -116 - -55) + -28 + 130?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/1388 and 113\/6?\nAnswer: 4164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 5*r + 6. What is the tens digit of s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 245 = -5. Let i be 10 + (-1 - 1\/1). What is the greatest common divisor of f and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 20*o**2 + 20*o + 21. Let p be h(21). Suppose 0 = 3*f + 2*u - 6 - 8, -f + 4*u - 14 = 0. Solve f*v + v = p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 4*f + 6. Let g be s(-4). Let h(j) = 5*j + 22. Let b(a) = 6*a + 21. Let y(c) = 4*b(c) - 3*h(c). What is the units digit of y(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-6) + 92\/12. Suppose -n*k + 40 = -2*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*a + x, 3*x + 6 + 3 = 0. Let z(o) = -2*o**2 + 0*o**2 - 3*o - 5*o + a*o**3 + 3*o. Let g(d) = -4*d**3 + d**2 + 2*d. Calculate 5*g(y) + 2*z(y).\nAnswer: -2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/92520 and 37\/6912.\nAnswer: 8881920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -101505.625 rounded to the nearest 10?\nAnswer: -101510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 11) to base 6\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -24 + 9 + -7. Does 15 divide -1 + 12*k\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -826249, -826264, -826305, -826384, -826513, -826704, -826969?\n\"Answer: -2*h**3 - h**2 + 2*h - 826248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 11 = 2*o, 4*o + 2 = 3*o. Suppose -8*q + 4*q = 0. Sort r, -2, q in descending order.\nAnswer: q, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 + 2*l - 2*l**4 - 68 - 69 + 2*l**3 + 136 as z + v*l**3 + d*l**2 + u*l**4 + j*l and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 r when four letters picked without replacement from {p: 5, r: 15}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkykkkkky. Give prob of sequence kk.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629001383?\nAnswer: 18401, 34183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 234 (b) 4\/417 (c) 1\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*g + 4890 + 3270 = 0 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2394 less than 106.283?\nAnswer: 2500.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*f + 15*f - 5*m - 502, 0 = -5*f - 6*m + 652. What is the remainder when f is divided by 55?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -19*z + 8. Let a(v) = v - 1. Give -18*a(m) - 2*n(m).\nAnswer: 20*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -26) + -3 + -24 - -6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13140 + -41?\nAnswer: 13044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -63 + -14 - (-13 - (-18 - 24))\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, p: 2, j: 4, t: 5}. Give prob of sequence jpp.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, e: 3}. What is prob of picking 1 t and 2 e?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*141\nAnswer: 70.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -81, -48, -1, 66, 159?\n\"Answer: q**3 + q**2 + 23*q - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/14)\/((-3)\/((-126)\/12)). Suppose -x*o = 2*o - 132. Let i be (7\/7)\/(2 + 3\/(-2)). Calculate the highest common factor of o and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -11. Let h = 5 - m. Let n = h - -16. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slsylslisliy. What is prob of sequence iyys?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -0.1 (c) 29\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(1092630\/344)\/165*(-16)\/(-14)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 10*d**2 - 10*d - 13. Let r be j(-9). Let w be -4*-83*r\/8. Let t = w - -234. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.7 - 2.7. Let g = -0.2 - -0.4. Suppose 6 = -3*k + 3*q, -4 = 4*k - 2*q + 6. What is the nearest to g in k, 4\/5, l?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*p = -47*p - 15. Suppose -4*o + 34 = 4*v - 2, -5*v - 35 = -p*o. Suppose z = 6*z - 150. Calculate the remainder when z is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 115 = -4*x, 0 = 2*x + 4*c - 2*c - 58. What is the lowest common multiple of x and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 14*a**2 - 129*a + 1106. Calculate v(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696730 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35275 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/4*(-20)\/30. Let h(x) = x**2 - x + 2. Let z be h(2). Suppose 0 = -z*y + t*g + 2179, -5*y + g = 290 - 3000. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11297387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 1 = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttiiitttiiiiittiitit. Give prob of sequence ttit.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 406752 by -4.\nAnswer: -101688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4771331143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/30 + (-4)\/6. Suppose 4*v = -g*v. Suppose -1 = 4*k - 4*n + 3*n, -k + 5*n - 24 = v. Put -1, k, 3 in increasing order.\nAnswer: -1, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/16 and 109\/352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (13 + (-4 - -15)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in -10, 1\/2, -2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -2051 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*j**4\/4 - 579*j**3\/4 - 219*j**2 + 111*j = 0. Calculate j.\nAnswer: -37, -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3 + 1371572*a**2 + 4012988*a wrt a.\nAnswer: -6*a + 2743144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3) - (-2)\/3. Let t = -2.72 - -1.72. Sort -2\/19, d, t in decreasing order.\nAnswer: d, -2\/19, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 11\/(-2))*2. Suppose 0 = -3*m + z + 23. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43\/13, -2\/63, -2 in increasing order.\nAnswer: -2, -2\/63, 43\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**2 - 248970*d - 248968 = 0.\nAnswer: -124484, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, -90, 245 in descending order.\nAnswer: 245, 13, -2, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*u. Let l = 5 + u. Suppose 0 = l*x - 52 + 7. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/3*(-108)\/144?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(((-2)\/(-24))\/((-37)\/(-1665))).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51926966 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - n**2 - n + 5. Calculate the smallest common multiple of s(0) and 27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*h = 17, -4*k + 5*h = k - 40. Let f(d) = -k + 16 - d - 4 - 7. Let g(n) = n + 1. Determine -3*f(o) - 6*g(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from ulluuuauaaala.\nAnswer: 25\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*k + 20, 0 = -5*k + z + 18 + 10. Suppose 30 - k = 4*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 2.5. Let o be (-18)\/(-8) - 33\/(-44). Let f be -1*-4*(-2)\/(-8). What is the second smallest value in a, f, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150223457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(18\/16)\/((-11)\/132).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 2 = -4*s. What is the derivative of 1 + 0*q + q - q**s - q wrt q?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 6159808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 - 123*u\/4 - 9737\/2.\nAnswer: (u - 214)*(u + 91)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -94 - 94 + 188 + d. Let z(a) = a**2 + 5*a - 4. Let s be z(-6). Let b(x) = -2*x - 3*x**s + 2*x. Determine t(b(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 1.9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 59 - (-4 - (-121 - 60))\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 118, 919, 3098, 7345, 14350?\n\"Answer: 115*a**3 - a**2 - a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d - 97 = -23. Suppose -6*i + 1120 = -2*i. Suppose 6*r - i = d*r. List the prime factors of r.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (100\/(-6))\/(-5)*(-66)\/55\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1107 - 1084.55. Let s = 23 - l. What is s rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318761249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 85902.3ng in grams?\nAnswer: 0.0000859023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2658 - 2657.9561. What is q rounded to 3 decimal places?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -4)*(-6)\/(-45). Let k(c) = -c - 1. Let u be k(-4). Let x be (u - 16\/6)*-1. What is the closest to v in -0.2, -1\/7, x?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 4*v**2 + 1 + 3*v**2 + 3 in the form o + u*v + w*v**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 15 = n, -1024*n + 1023*n + 4*l + 19 = 0. Solve -13*b - 4*j = -14*b + 4, 2*b + n*j + 14 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 + 795*x**2 - 1575*x + 785.\nAnswer: -5*(x - 157)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -8*z - 1. Let t(a) = -18*a - 2. Let l(m) = -7*d(m) + 3*t(m). Let w(s) = 5*s + 3. Calculate 7*l(k) - 2*w(k).\nAnswer: 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-275)\/(-75)*(-324)\/(-198))\/(10\/(-15))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**4 - 48*o**3 - 162*o**2 - 168*o - 57 = 0.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 699415, 1398826, 2098237?\n\"Answer: 699411*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/5 (b) -75.075 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 61 = -3*d, -3*j - j + 228 = -4*d. Let y = -20 + 26. Calculate the remainder when j is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22468761, -22468760, -22468759, -22468758?\nAnswer: -22468757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t = 25132 - 25522 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6300 = 8010*x - 7660*x for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -20a?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7 + (540 - (0 - 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 3127.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54587940 and 3?\nAnswer: 54587940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207 and 6.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3072032 is divided by 99093.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190994 and 1241461?\nAnswer: 2482922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/168 and -5\/66.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**3 + 3*h**2 + 4*h - 4. What is n(2)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 4*k + 2. Let b be n(2). Suppose -q - b = -49. Let d = -22 + q. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*o + 81. Let m(d) = -d**2 - 16*d - 9. What is the tens digit of m(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -22*z**2 + 388*z - 983. Give w(15).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 13*d**2 - 11*d + 17. Let t = 16 - 28. Let n be x(t). What is the derivative of 7 - n*i - 11*i + 10*i wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - ((10 + -3 - 3) + -10)) + 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 847, 1729, 2611, 3493, 4375?\nAnswer: 5257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(204)*3 + sqrt(204)) - sqrt(204))\/(sqrt(108) - ((sqrt(108) - (sqrt(108)*-2 + sqrt(108) - sqrt(108))) + sqrt(108) - sqrt(108)))*5.\nAnswer: -35*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*w**6*y + 10*w**6 - 171*w**2*y - 2*w**2 - 3*w*y + 5*w wrt w.\nAnswer: 11880*w**3*y + 1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121039452 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34834, 34832, 34830?\nAnswer: 34828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 13 (b) -0.07 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -8*r + 1. Find h such that 0*h**2 - 4\/5*h**r + 2\/5*h + 2\/5*h**5 + 0*h**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 21 + 3. Let q = -1 - p. Calculate the remainder when 30 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -931, -923, -901, -859, -791, -691, -553, -371?\n\"Answer: n**3 + n**2 - 2*n - 931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9282 = 374*r - 6800 for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-1 - -3 - 7). Suppose 0*a + 62 = -2*n + a, -d*a = -n - 37. Let h = n - -70. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 23 (b) -25 (c) 4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 23\/((-414)\/84)*(-26 - -2)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 9*b**2 - 4*b + 21. Let r(a) = -5*a**2 + 2*a - 11. Let o(m) = -11*r(m) - 6*s(m). Let g = 14 - 18. Let w be 3 + (56\/2)\/g. What is o(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**2 - 3*t**3 + 22*t**2 - 2*t**3 - 20 - 9*t**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -4, 1.73 in descending order.\nAnswer: 39, 1.73, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/28*(3 + 15\/(-9)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2 - 1125*g - 1126 = 0.\nAnswer: -1, 1126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*i**2*p + 30962529*i**2 - 1832669*i*p wrt p?\nAnswer: 7*i**2 - 1832669*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -567*u + 69174. Determine v(122).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1)\/((-9)\/((-432)\/(-32)) + (-6 - -2)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*u + 13 = 0, 3*p - 5*u = -0*p + 14. Suppose -2*b - 2*f = -106, p*b - f + 2*f - 159 = 0. List the prime factors of b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u. Suppose 25 = b - u*b. Let g = 19 - b. Let f(c) = c**3 + 7*c**2 + 4*c - 1. Calculate f(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -2*g, -5*n + 3*g + 124 = 4*g + 253 - 117 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 48\/5 of a decade?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -707*n - 2424. List the prime factors of d(-37).\nAnswer: 5, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2379 + 4073. Let z = 334 - q. Let r = 843 - z. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4 - -0.5. Let p = 6.1 - x. Let r = p + -6.6. Which is the second biggest value? (a) -3 (b) r (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -11. Let s be (0 + 0)\/(2 + -4). Suppose -3*h + 52 = 4*u, -3*h + p*u - 2*u + 46 = s. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/400*10\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6420 = 2*s + 12*n - 15*n, 5*n + 12838 = 4*s. Suppose -2*z + s - 1169 = 0. List the prime factors of z.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 48, 288, 888, 2028, 3888, 6648, 10488, 15588?\n\"Answer: 30*y**3 + 30*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8427 is divided by 924.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -7*s**4 + 124*s**3 - 823*s**2 + 1208*s - 4. Let n(k) = 29*k**4 - 498*k**3 + 3291*k**2 - 4831*k + 18. Let q(c) = -2*n(c) - 9*z(c). Factor q(h).\nAnswer: 5*h*(h - 11)**2*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2\/53 (c) -53 (d) 2 (e) 0 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:41 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 55908.999 seconds?\nAnswer: 15.5302775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from rkkprrkk?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1\/10, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzkzzzzzk. Give prob of sequence kzk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 less than or equal to -5534\/283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (-2*sqrt(304))**2 - sqrt(19)) + -4.\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -18. Suppose -4*h + 58 + 262 = i. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8851*h = -17696*h + 8903*h - 2088 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 44*i**2 - 692*i + 964. What is u(15)?\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 17 = -4*y + g, 5*g - 15 = 5*y. Suppose 0 = a - 6 - y. Calculate the highest common factor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 433938665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.26 - 6.18. Let u = -11 + s. Let c = 0.08 - u. Is 2 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*v - 32. Let w(k) = k**3 + 16*k**2 + k + 22. Let n be w(v). Put -5, n, 4 in decreasing order.\nAnswer: n, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**5\/3 + 16609*n**4 - 2202325*n**3\/3 - 453089*n**2 + 297630*n = 0 for n.\nAnswer: -1, 0, 2\/5, 45, 9921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 244 + -120. Suppose 231 = -15*n + 636. Suppose n*r + 840 = 67*r. What is the remainder when v is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*g + 5, -5*g = 4*j - 40. Let f = 8 - j. Which is smaller: 9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 370526615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 22*p - 14. Does 32 divide k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 782 - -1090. Is o a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-224 - -235) + (4 - (3 + -63)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (48 - 46 - (-4 - (-7 - 13)))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2786 (c) 1\/4 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 4:08 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 187 + -2199a?\nAnswer: -21813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 8.94. Let b(q) = -3*q**3 - 12*q**2 - 14*q - 2. Let t be b(-1). Put -1, l, t in ascending order.\nAnswer: -1, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15065749 is divided by 5021906.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 4 (b) 2\/9 (c) -2\/11 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4 - 28. Let g(t) = t**3 - 4*t**2 + 8*t + 5. Suppose -9*z + 76 = 22. Calculate the remainder when g(z) is divided by r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 90229, 180561, 271155, 362143, 453657, 545829, 638791?\n\"Answer: 22*x**3 - x**2 + 90181*x + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6 + 0*k + 15 - k + 3*k. What is the smallest common multiple of 5 and m(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22470 = 3*p + 26*l - 28*l, 0 = -4*p + 2*l + 29960. Suppose 1756 = 6*j - p. List the prime factors of j.\nAnswer: 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 - 12*d + 10. Let s be j(-7). Let y = 0.2 + -0.4. What is the closest to y in 0.5, s, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -209*a + 13. Let d(t) = -208*t + 14. Let i(f) = 4*d(f) - 3*w(f). Let b be i(-7). Suppose -12 = 9*j - b. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -17*s**2 - 249*s + 93. Determine g(-7).\nAnswer: 1003","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 7*f**2 + 10*f + 3. Let b be m(5). Let s be (1 - 2)\/2*-2. Let u = b + s. Solve 31 = 2*z + u*o + o, 4*z + 3*o = 27 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 112\/(-539) + 4\/(-11). Sort f, 1, 2\/17, 0.4 in descending order.\nAnswer: 1, 0.4, 2\/17, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -11*v**3 - 5*v**2 - 7*v. Let c(k) = 5*k**3 + 3*k**2 + 4*k. Calculate -10*c(m) - 6*y(m).\nAnswer: 16*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 2*z**2 + z + 1. What is o(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 586*n**2 + 46816*n - 1135232.\nAnswer: 2*(n - 181)*(n - 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(77) + (sqrt(77) - 6*sqrt(77))*3)\/(sqrt(7) - (sqrt(7) - (sqrt(7) + sqrt(56)\/sqrt(8) + sqrt(7)))*1) + -5 + 4)**2.\nAnswer: 140*sqrt(11)\/3 + 53909\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31.65 - -32. Let s = -0.15 + l. Let o = -5.07 - -0.07. Which is the third smallest value? (a) o (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-171)\/(-912))\/((-5)\/(-20))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-2 + 2 + -5.\nAnswer: -2*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4)*k**(-1\/3))\/(k\/(k**(-2\/7)*k)*(k\/k**(-14))\/k))**(2\/5) assuming k is positive.\nAnswer: k**(-782\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 1 - 10 = 0. Let w be u\/(3\/1)*3. Suppose 0 = -y + w. Calculate the least common multiple of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 208 + -293. Let i = p - -88.1. Which is the biggest value? (a) -4 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2.2. Let u = 0.7 + 0. Let q = u + -0.2. What is the third smallest value in 2\/17, q, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 243)\/(6\/(-6)) + -2. Calculate the remainder when 3 + 9 + (d - -8) is divided by 84.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 51 = 1405. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h - 32 = 0. Let f be 4\/12*0\/1. Let u = f - -18. Calculate the smallest common multiple of h and u.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 208*k - 203*k = 25, -3*k = 5*w - 15. Solve -5*b + b + 2*m + 10 = w, 4*b + 3*m = 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1138480723?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 479 - 479.12. What is the closest to v in 1, -3\/2, 0.3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7983*h - 1. Let z(g) = -8102*g - 2. Determine -3*b(r) + 2*z(r).\nAnswer: 7745*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 183, 177, 161, 129, 75, -7, -123, -279?\n\"Answer: -s**3 + s**2 - 2*s + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-95)\/(-38)*(-4)\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 380 and 60.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5251 is divided by 117.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -954, 0.97 in ascending order.\nAnswer: -954, -2, 0.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 167164 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*v**6 + 2*v**4 + 43*v**3 + 9861*v**2 wrt v.\nAnswer: -3360*v**3 + 48*v + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4042069?\nAnswer: 4042069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11242 and 427196?\nAnswer: 427196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 3*b + 105, 3*t - 5*b + 24 = -39. Let g be (-66)\/(-21) + (-10 - 207\/t). Determine p, given that -6\/7 + 9\/7*p - 3\/7*p**g + 0*p**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 281122 and 1610132?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -9*p + 277. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j = -7*j - 35 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (74 - 90 - (2 - 11)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*h + 1. Let p(x) = 182*x - 4736. Let z be p(26). Sort h, z, 9, -5 in descending order.\nAnswer: 9, h, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*x = 3*x. Suppose -q + 4*y - 12 = x, 4*y = 3*q + 2*y + 6. Solve -4*g + 6 + 10 = q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 246972842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbb when three letters picked without replacement from {e: 1, b: 7, z: 6}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from {a: 3, r: 5, j: 1, t: 1, n: 3, p: 4}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 11723*l - 6 - 11701*l)*(0 + 0 - l**2).\nAnswer: -22*l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118623175 to the nearest integer?\nAnswer: 10891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -555350442 (base 6) in base 11?\nAnswer: -5751aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.36 + 0.06. Let n = -0.08 - t. Let y = 0 + n. What is the second biggest value in 0.1, 2, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -11. Suppose -n*v + 0*v = 0. Find m, given that -m + 1 - m**2 + 20*m**3 - 19*m**3 + v*m**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 627339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4867327.\nAnswer: 4867327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -2\/87, -8?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1288 and 1449.\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-45)\/20)\/9*-4. Suppose -k = -10*s - 11. Which is bigger: -2\/29 or s?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-258)\/(-2451) - 1436\/228*-3\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1640\/325 - -8)\/(-3) + 16 + 3130\/(-195).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.0582, -3\/7, 0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1941*l + 1942*l - 3*v + 20, 0 = l - 5*v + 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 17*t**4\/4 - 71*t. Let x(f) = -4*f**2. Give x(p(r)).\nAnswer: -10404*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 - 10*o**2 - 9*o**2 - o**2.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47314*r - 86 + 94654*r - 47320*r to the form i + n*r and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 + 105. Let j be -3*(12\/q + 1) - -5. Solve -24 = -k - 3*k + 4*p, 5*k + 4*p = -j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*x + 1)*(7 + 0 - 3)*(-15*x**4 - 18*x**4 - 62*x**4).\nAnswer: -760*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - q + 22. Let k be u(0). Suppose p - 4*p - 72 = -4*y, -p + 46 = 2*y. Is k > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*s + 3*s + 9*s)*(6 + 3 + 0)*(18 - 52 + 11) + 4*s + 0*s - 2*s to g*s + h and give g.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3698856, 7397713, 11096570?\nAnswer: 14795427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l - 10. Determine o(10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7089 + -1194. List the prime factors of z.\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 1045 + 901. Calculate the greatest common divisor of k and 708.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100422 + -23020?\nAnswer: -123442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66352)\/4719 - 21\/(-3)*2?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 9:45 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6731, -3\/11, -2, 4, 0.2?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*w - 59, -5*w = -0*r + 4*r - 99. What is the remainder when w is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.4424 litres in millilitres?\nAnswer: 121442.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-2*14\/(-4). Suppose v = -z + 29. Let l = 56 - z. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 225 - 277. Let q = 51.8 + h. What is the smallest value in -4, -0.18, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208863 is divided by 69595.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(-1\/3))\/s)\/s)\/s*s\/(s*(s\/((s*s*s*s**(-1))\/s))\/s*s*s*s)*(s*(s\/s**6*s)\/s)\/((s**(-2)\/s)\/s*s*s))**(-22\/5) assuming s is positive.\nAnswer: s**(374\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -228807, -457499, -686079, -914547, -1142903, -1371147?\n\"Answer: 56*j**2 - 228860*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 9:04 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**4 - j**3 - 2*j**2 + j. Let a(i) = 59*i**4 - 1201*i**3 + 9702*i**2 - 26371*i + 2048. Let c(u) = -a(u) - 3*x(u). Factor c(t).\nAnswer: -2*(t - 8)**3*(25*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 30 = -13*z. Let o = -0.256 + 0.246. Which is the second smallest value? (a) 0.3 (b) z (c) o (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*z - 220 = 68*z. Solve 22 = 11*g - z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*k**2*n**3 + k**2*n - 5*k**2 + 4*n**3 + n**2 + 5*n wrt n.\nAnswer: -96*k**2*n + 24*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6841025*m - 2*m**2 + 6841025*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, 33733, -7?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**6\/240 + h**4\/48 - 21*h**2. Determine f so that t(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y. Let b be c(5). Suppose 3*t - 3 = 6. Suppose -t*u - 10 = -4*u. What is the highest common factor of b and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 38184\/38181 - (2 + -1). Let k = -13797\/13617890 + y. Let i = -33436\/1605 + k. What is the common denominator of -145\/18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2010795, 8043173, 18097137, 32172687, 50269823?\nAnswer: 72388545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142\/7 - 20. Let u = 6.4 - 6. Let o = 0.103 - -2.897. Which is the closest to d? (a) 0.3 (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830351051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-5*m**2 + m**3 + 5*m**2) - 284 + 457*m**3 + 284.\nAnswer: 456*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -135 - -80. Let i = 13 + -13.1. Which is smaller: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 51 = -579. What is the remainder when w is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 53\/5 of a milligram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10*v + 4. Suppose 0 = 2*j + 144 - 150. Calculate z(j).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**32*d**(-1\/16) assuming d is positive.\nAnswer: d**(511\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)*2)\/sqrt(3))\/(sqrt(11)*1*-4).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440 - 11*c - 3*c + 28*c - 10*c - c.\nAnswer: 3*c + 440","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 11 + 0 - 4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303*o - 307*o = -4. Put o, 3\/4, 2 in increasing order.\nAnswer: 3\/4, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142952.4 kilograms in micrograms?\nAnswer: 142952400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.1. Let o = -12.7 + 13. Put p, 2, o in descending order.\nAnswer: 2, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-99)*(-16929)\/(-684).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/47 and (28\/(-20))\/(-7)*61?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(9 + -29) + (-237)\/90 + 3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*r - 189 = -82*r. Solve -r*w + 33 = -2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/32 and -39\/44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, w: 2, g: 4, s: 4, k: 1, e: 2}. What is prob of sequence sz?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m + 10. Let x be j(4). Let g be 1\/(x*3\/138). Calculate the greatest common factor of 23 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8310.3 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 13*p**2 + 6. Let u be x(-13). Suppose -3*a = -u - 15. What is the second derivative of 140*b**4 - 140*b**4 - a*b**5 + b wrt b?\nAnswer: -140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1259, -2524, -3789, -5054, -6319, -7584?\n\"Answer: -1265*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1505 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -542241.8?\nAnswer: -542241.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -2*d**3\/39 - 1147*d**2\/13 + 9187. Determine r so that n(r) = 0.\nAnswer: -1147, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -79\/5. Let k be (1 + -2)\/((-2)\/(-14)). Let i be 48\/(-70) + (-2)\/k. What is the nearest to -1\/4 in i, m, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 1. Let i(y) = -5*y**2. Let o(z) = i(z) - 5*k(z). Let g(a) = a**2 - a + 1. Let n = 2479 - 2490. Calculate n*g(x) - 2*o(x).\nAnswer: -x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -914\/150517?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7782631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61 and 1525?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from {h: 2, v: 1, b: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22c (base 13) to base 2.\nAnswer: -101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/(-8) + 38\/(-28).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 3*j - 2*j)*(2 + 2 - 2) + 2*j + 2 - 2 + (j - 3*j + j)*(0 - 3 + 4) - j - 3*j + 2*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**5\/15 - 43*f**4\/3 + 3698*f**3\/3 + 49*f**2 - f. Factor c(t).\nAnswer: 4*(t - 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 679032?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123814\/25 or -4954?\nAnswer: -4954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 + 0*m**4 + 0*m**4)*(-491 + 491 + 22*m + (m + 0 + 0)*(-2 + 0 + 4)) + m**5 - 5*m**5 + 3*m**5.\nAnswer: 23*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v + 11. Suppose 0 = h + h. Suppose -4*o + 28 = -2*q, q + h*q + 4 = 0. Let r(y) = o*y - y - 2 - 5*y. Give 11*r(m) + 2*w(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -50*q**2 - 1409*q - 5715. Determine j(-4).\nAnswer: -879","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-77)\/(-21))\/((-1)\/429). Let j be (2 - -1*3047)\/2. Let h = j + q. Calculate the common denominator of -13\/4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342507, 342522, 342537, 342552, 342567, 342582?\nAnswer: 342597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2*c - 35 + c.\nAnswer: 3*c - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 305 - 304.9. Let g be 80\/3 - (-2)\/(-3). Is g greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 74 (b) 0.1 (c) -1\/2 (d) 2\/3 (e) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -35cb (base 14) to base 15\nAnswer: -2bb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (0 - -2)) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8609767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 840 = 16*m. Let j = 68 + m. Let o(h) = 4*h**2 - 3*h. Let i(q) = q**2 + 1. Let u(v) = j*i(v) + o(v). Give u(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - z + 1. Let r be n(2). Suppose -r*f + 24 = f. List the prime factors of 1 + 0 + f\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/2)\/(1*-3*(-4)\/12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 0*l - l + 9, 0 = 2*g + 3*l - 14. Sort -9, g, -5\/3 in decreasing order.\nAnswer: g, -5\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147600774 to the power of 1\/2, to the nearest integer?\nAnswer: 12149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/45504 and -81\/35392?\nAnswer: 318528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.25*31.9.\nAnswer: 39.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 7:54 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - ((sqrt(19) + 2 + sqrt(19))*3)**2) + -5*-2*sqrt(19) + -3*(sqrt(1900)*-1 + 5))*4.\nAnswer: -2940 - 124*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 1. What are the prime factors of v(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**3*a*a\/(a\/(a\/(a\/(a\/((a**(-4)\/a)\/a)))))*(a\/(a\/(a**(-3)\/a)))**(-31))**(-3) assuming a is positive.\nAnswer: a**(-408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.2, 784, 2, 6, 0.1 in increasing order.\nAnswer: -2\/7, 0.1, 0.2, 2, 6, 784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyq when three letters picked without replacement from yqya?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117706 + 235379 - 26*x - 117700.\nAnswer: -26*x - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-8 - (-54)\/30).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 17*n - 6. Let f(a) = a**2 - 11*a - 4. Calculate 7*f(i) - 5*g(i).\nAnswer: -3*i**2 + 8*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23200030 - 3111?\nAnswer: 23130313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmvmymvmemqmi. Give prob of sequence qi.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2355629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*k**5\/3 + 7505*k**4 + 1016635*k**3\/3 + 10444750*k**2\/3 - 564000*k - 1060000\/3 = 0.\nAnswer: -20, -1\/4, 2\/5, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 134013?\nAnswer: -134022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298262*f**2 - 298262*f**2 - 298255*f**2 - 298239*f**2 + 1193055*f**2.\nAnswer: 37*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 589, 1108, 1557, 1936, 2245, 2484?\n\"Answer: -35*j**2 + 624*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 18 = -k, 0 = 6*i - 2*i - 3*k - 46. Let l be (771\/1724)\/(12\/i). Let h = l - -1\/431. What is the nearest to -1\/2 in 0.3, -2, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 4*u**2 - u + 3. Let k(i) = -2*i**3 - 9*i**2 + 2*i - 7. Let v(z) = 4*k(z) + 9*l(z). Let a = -25 + 28. Suppose a + 5 = -8*w. Calculate v(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -997603 by 57.\nAnswer: -997603\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, l: 3}. Give prob of sequence ll.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/o**(-14)*o**(-1\/11)\/o*(o\/(o**9*o))\/((o**(-2\/15)\/o)\/o) assuming o is positive.\nAnswer: o**(1327\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**4\/2 + 2*s**3 - 3*s**2 + 6*s + 1. Let x(n) = 2*n**3 - 5*n**2 + 5*n - 5. Give 5*j(c) + 6*x(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -5.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**4\/2 - 43*q**3\/6 + 39*q**2 - 86*q. Let t(j) be the first derivative of h(j). Differentiate t(z) wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(288))**2*3*-1 - (((sqrt(120)\/sqrt(2))\/sqrt(6))\/(sqrt(125)*-6 + sqrt(5)))**2.\nAnswer: -2906498\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 56 - 64 = 4*v, 0 = 3*v - v + 5*j - 44 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78353 + -78351. Let g(n) = -n**2 - 5*n. Let i be g(-5). Solve i = -3*x - k*x + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**4)*x*x**(-3\/4)*x)**(-7)*((x*x\/(x\/x**6*x)*x)\/x**(-1))\/(x**(1\/6)\/x**3) assuming x is positive.\nAnswer: x**(361\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4953 and 3822?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/1008239 and 65\/4.\nAnswer: 4032956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3659*v**3 + 4950*v**2 - 1175*v**4 - 3661*v**3 + 3552*v**4 wrt v?\nAnswer: 57048*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8110253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -3\/487462561 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 8. Let y(h) = -3 - 74465*h + 223381*h - h**2 - 74455*h - 74448*h. What is y(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 5*s**2 - s - 8. Suppose 3*t - 161 + 127 = 2*r, -5*r - 25 = 0. What is the least common multiple of m(-8) and t?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.52 - 4.51952. Round x to five dps.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**10\/30240 - f**6\/720 + f**4\/4 + 2*f. Let a(z) be the third derivative of o(z). Find the second derivative of a(g) wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 10*i**2 + 9*i + 3. Let r be t(-9). Let y be -2*(-2 - (1 - 1)). Solve -22 + 0 = -2*j - y*q, 24 = 3*j + r*q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 + 7*d - 6. Let y be r(1). Let m = 14795\/9 + -1638. Calculate the common denominator of (((-1)\/3)\/(-1))\/(y\/(-387)) and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/6 - (27 + -26). Let x(a) = -a**2 - 2*a + 4. Let l be x(2). What is the closest to 0 in 1\/5, m, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 172416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q**3 - 128*q**2 + 36*q + 32. Give d(18).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 106 - 25?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d - 3 = 0, -2*f + 30 = -2*d. Let q = f + -10. Suppose -v - 4*v - u = -103, 4*v + q*u = 76. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4268\/14889 - 2\/2127. Which is smaller: -0.108 or w?\nAnswer: -0.108","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2219.6 and -0.4.\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a second in milliseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108032 and 640?\nAnswer: 540160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-18*l**2 + 101*l - 101*l).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**2 + l**3 - 1 + 4*l**3 + 11*l**2 - 7*l**3 in the form u*l**2 + o*l + p + w*l**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -497 * -122.\nAnswer: 60634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 1199 = 101*j + 1143 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.5, -1, 3.6, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmw when three letters picked without replacement from zxrimmw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by ((2\/(-10))\/(2\/(-5)))\/((-124)\/(-24800)).\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 644, 1253, 1832, 2375, 2876, 3329, 3728, 4067?\nAnswer: 4340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 120*w**2 - 1200*w.\nAnswer: -3*w*(w - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f = 19*f + 23*f. Which is the nearest to 0.1? (a) 0.07 (b) -0.054 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 3*w - w - 153*w**2.\nAnswer: -153*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 12 = m. Suppose -5*t = -4*c + 12, -c + 13 = -m*t + 3. What is the common denominator of c\/(-6) - (-32)\/18 and -71\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = -r. Suppose j = -5*k + 11, -r*k + 7 = 3*k + 2*j. Suppose -c = -4*z + 2*c + 1234, 3*z - k*c - 927 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3087*z + 6205*z + 4334*z + 743*z.\nAnswer: 8195*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 52 = -4*i, -v = 4*v + i + 45. Let h(k) = 4*k**2 - k - 1. Let z be h(-1). Which is the second biggest value? (a) z (b) -5 (c) 2 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31608)\/(-135) - (-3 + 188\/60) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -44, -13.\nAnswer: -44, -13, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 5. Let p = j + 0. Let l = p + -17. Which is the second smallest value? (a) 0 (b) l (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1. Let l = 0.05 + -4.05. Let u = l + 2. Which is the nearest to 0? (a) u (b) 1\/6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**3 - 10*s**2 - 20*s + 14. Calculate b(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 726, 1498, 2304, 3162, 4090, 5106?\nAnswer: 6228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -4. Suppose -h*r + 40 = 5*l, -5*r = l - 4*l. Solve -7 = 5*o - o - 3*p, 0 = o - r*p + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -59*d**4\/6 + 7*d**3\/3 - 16*d**2 - 23*d. Find the first derivative of i(r) wrt r.\nAnswer: -236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011201001202 (base 3) to base 13.\nAnswer: 315c47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*i + 2490 + 36564. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -887 or -884?\nAnswer: -884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 7. Suppose q + 4 = 0, -5*z + 0*q - q - 189 = l. Let r = -13 - z. Is 24 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*j + 7*j**3 + 48*j + 42*j.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + -1. What is the nearest to 0.2 in -3, u, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -be6d - -7?\nAnswer: -be66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -0.4 (b) -2\/15 (c) -3\/4 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c + 5*c + 1, 3*c + 2*c - 3 = -2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -11)\/((-104)\/(-6) - 22). Are -4 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 69*m - 70*m + 3*u, -4*m + 280 = -4*u. Let v = -119 - -257. Calculate the remainder when m is divided by (4\/6)\/(4\/v).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 44?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9633, -19287, -28969, -38685, -48441?\n\"Answer: -g**3 - 8*g**2 - 9623*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**2 + 350*o + 1439. Calculate q(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 4*w = 3*d + 36, -4*d = 0. Suppose -3*n = -0*n - w. Suppose n*x + 2*z - 36 = -0*z, -5*z + 2 = 2*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + 0 + (866 - 901) + (1 - -2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 2*v + 4 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*z - 20*z - 22*z)*(3*z**3 - 3*z**3 + 2*z**3) + (6*z**2 - 5*z**2 + 0*z**2)*(-2*z**2 - 3*z**2 + 3*z**2 + 3*z - 2).\nAnswer: -60*z**4 + 3*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2661 is divided by 335.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.14 and 15?\nAnswer: 17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160.944 + 0.056. Let z = -119 + p. Let h = -45 + z. Which is the second smallest value? (a) h (b) 1\/4 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.25 (c) 119 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k - 2*y = -8, 0 = -4*k - 3*y + 11. Let m(p) = k + p - 2*p + 1 - 10. What is m(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/25 + 222*m\/25 - 452\/25.\nAnswer: 2*(m - 2)*(m + 113)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t**5 + 28*t**4 + 634*t**3 + 208*t**2 = 0. Calculate t.\nAnswer: -8, -1\/3, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2442 = -8*y + 1038. Suppose -w - y = 645. Round w to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.5 + -69.2. Let s = -62.2 - q. Which is the third smallest value? (a) -0.1 (b) s (c) 5 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**0)**10\/((m*m**9*m*m)\/m**(-8)) assuming m is positive.\nAnswer: m**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/312140 and -101\/32.\nAnswer: 2497120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-7)*7\/1*-1. Let j(l) = -2*l**2 + 18*l + 8. Let v be j(n). Is (4\/v)\/(2\/(-6714)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddhddhddxdddxhhd. Give prob of picking 2 x and 1 h.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.44 + 0.5. Let m = s - 0.26. Let a(v) = -v**2 + 4*v + 1. Let o be a(4). Which is smaller: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1764 - -2823. What are the prime factors of b?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*q = -9, 3*i - 7*q = -3*q + 14. Let v = 0 - i. Let a be 42*v\/24*4. What is the greatest common factor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - 0. Sort -4, -0.11, b.\nAnswer: -4, b, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -382, 642 in decreasing order.\nAnswer: 642, 2, 0, -382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 42. Let h be j + 40\/30*6\/2. Which is smaller: -4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.119\nAnswer: 0.0357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (10 + -8) - (-32)\/14 - -3\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-6) + -203*1. Let z = 352 + g. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*n**5 + 1032*n - 1032*n + (0*n**4 + 5*n**4 - 4*n**4)*(-n + 2 - 2).\nAnswer: -44*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**6\/180 - r**5\/40 + r**4\/6 - r**3\/6 + r - 1. Let n(v) be the third derivative of k(v). Determine n(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.6666 times 5\nAnswer: 43.333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 + 84*n**3 - 296*n**2 - 1536*n - 1152.\nAnswer: -4*(n - 12)**2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**4\/24 - h**3\/3 - 5*h**2. What is t(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -1 - (-11 - (-4 + 0)) - 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 284, -5, -4 in descending order.\nAnswer: 284, -4, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8239 - -1.9239. What is the nearest to u in -0.3, -2\/349, -4?\nAnswer: -2\/349","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 222 + -3654?\nAnswer: -3432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8222 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 24 + 4*q**3 - 29.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5436802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 203 divided by 1959723\nAnswer: 203\/1959723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = c - 24, 247540*c - 247538*c = -2*q - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 704 is divided by 103?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23750303 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**4\/4 + d**3\/6 - d**2 + 15*d. Factor j(c).\nAnswer: (c + 1)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16839 is divided by 421.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -577 + 1129. Let y be 23\/(t\/(-2000))*890*300. What is y rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b. Let h(v) = 3*v. Let c(g) = 11*h(g) - 4*y(g). Give c(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19437 and 93.\nAnswer: 19437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82313*l**3 + 86270*l**2 wrt l.\nAnswer: 493878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 877302505.\nAnswer: 5, 79, 2221019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14) - (-3 - (-150)\/35).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*q + (4*q + 8*q + 2*q)*(4 - 2 - 4) + 65*q - 108*q - 248*q.\nAnswer: -317*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -645, -838, -1161, -1614, -2197, -2910, -3753?\nAnswer: -4726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yybybb. What is prob of picking 2 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**3 + 656330*u**2 - 10174108*u - 5251136 = 0.\nAnswer: -164098, -1\/2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/15500 and 13\/6?\nAnswer: 46500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(-15))\/u)\/u)\/u**25)**(-25) assuming u is positive.\nAnswer: u**275","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45749 divided by 271.\nAnswer: 45749\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**8\/960 - g**5\/60 - g**4\/4 - 7*g**2. Let k(u) be the second derivative of q(u). What is the derivative of k(w) wrt w?\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h + 5. Let v(m) = -m + 4. Let n be v(6). Let g(y) = y - 17. Let d(f) = 2*f - 31. Let z(j) = -6*d(j) + 11*g(j). Calculate n*l(t) - 11*z(t).\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 0 + 2*d - d**2 + 1\/12*d**4 + 2\/3*d**3. Is p(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2535599017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 3*g**5\/50 + 2*g**4\/15 + g**3\/15 + 2*g. Factor z(a).\nAnswer: 2*a*(a + 1)*(3*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5*l - 46049, -z + 46048 = 3*z - 4*l. Let a = z + -7258. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + s + 96 = 0, 2*o - 3*s + 137 = 7*o. Suppose o = 5*x - 30. Let c = -5 + x. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 8*w + 0 + 0*w**2 - 1\/3*w**4 - 3\/5*w**5 - 2\/21*w**7 + 0*w**3 - 2\/5*w**6. Factor b(a).\nAnswer: -4*a**2*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 10. Let b = 11 - 12. Let h(w) = -5*w**3 + w + 1. Let m be h(b). Let z(v) = -5. Let k(g) = m*z(g) - 3*c(g). Differentiate k(a) wrt a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 0.1 (b) 2\/9 (c) 0.4 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.1, -106 in increasing order.\nAnswer: -106, -2\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -462*c**4\/5 - 90632*c**3\/5 + 291746*c**2\/5 + 3689084*c\/5 + 22304 = 0?\nAnswer: -1394\/7, -5, -1\/33, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -930769317 less than -930769318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3 - 15\/(-9). Let w be 27\/(-9) + 10\/f. Let n be ((-65)\/10)\/(w\/(-4)). Solve 2*b + 5*a + 8 = 0, -3*b - a + n = -6*a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1622523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00131752836 rounded to 6 dps?\nAnswer: 0.001318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**3 + 11189196*j**2 + 4297598 wrt j?\nAnswer: -6*j**2 + 22378392*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13143 - -5?\nAnswer: -13136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -85366, -85469, -85572?\n\"Answer: -103*m - 85263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, s: 1, u: 2, l: 2, y: 2, x: 4}. Give prob of picking 2 u and 1 e.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 2*c**2 - 2*c - 44. Let s be x(-4). Sort -3, -0.06, -1\/2, s in increasing order.\nAnswer: s, -3, -1\/2, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -568, -581, -618, -691, -812, -993?\nAnswer: -1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-36) + (-2306)\/(-6). Let b be (-2)\/7 + w\/21. Suppose -2*l = -2*o + b, o + o - 3*l = 14. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 30 = -4*w - m, 5*w - 3*m = 64. Let u be (-2)\/(-2*3\/9). Solve -3*i - w = 5*k, -u*k - 15 = i + 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2999579230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/3)\/(36*(-13)\/(-416)*44).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w. Let z(x) = -7*x - 32. Let r be z(-24). Suppose -12*f = 56*f + r. Let c(n) = 19*n - 1. What is f*c(k) + 9*d(k)?\nAnswer: 7*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 42 + -6 + -30 + 14 + -25?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 1:54 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-5 - -5) - 1) + -2 - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9246 and 552.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3))**(-14)*(w**(-2\/5)*w*w)\/(w*w*w**(1\/3)) assuming w is positive.\nAnswer: w**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 + 2*y + 4. Let n(o) = o**2 + o. Give -2*k(c) + 4*n(c).\nAnswer: -4*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 473 + -475.932. Let i = f - 0.068. Which is the nearest to 0.2? (a) 2 (b) i (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s = -4034 + 4142 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1196 = -4*c + 5*d, -3*c + 302 = -2*c - 2*d. Find the common denominator of -6\/13 and ((-168)\/c)\/((-34)\/35).\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2696 is divided by 208.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/20 - (-49126)\/140?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + (5 - 2 - 15) + 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -6, -13*a = p - 9*a - 1973. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 760 is divided by 153?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.084 - 0.0839916. Round g to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47180?\nAnswer: 2, 5, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 3*p - 3*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drmmtmdmdmct. Give prob of picking 2 m.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 6*a**2 - 6*a. Let f be u(-5). Solve 25 = f*c - 0*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 106641, 1.\nAnswer: 1, 22, 106641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 1\/8*b**4 + 3\/2*b**3 + 0*b + 2*b**2 + 0. Suppose -y + 5*o - 16 = 0, 0*o + o = 3*y + 20. Give f(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1, 1, 4 in descending order.\nAnswer: 13, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 81666591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, h: 1, i: 11}. What is prob of sequence hii?\nAnswer: 55\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -418, -415, -402, -373, -322, -243, -130?\n\"Answer: b**3 - b**2 - b - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3413.90838 + 4931.73741. Let y = p - 1509.829. Let o = y + -8. What is o rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 8, -3*u = -i + 4*i - 114. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 8*i**2 + 13*i - 100. Let y be u(8). What is the nearest to y in 0.3, -45, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31.62 + 30.62. Sort u, -0.5, -4, 0.25, 0.5 in decreasing order.\nAnswer: 0.5, 0.25, -0.5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 343*l**2 - 5*l + 3. Let m(j) = 344*j**2 - 4*j + 2. Give 4*c(h) - 5*m(h).\nAnswer: -348*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 88 (b) 1\/5 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppcqjji. What is prob of picking 2 j and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 163 - 2031 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-110)\/3*(-252)\/(-5). Round i to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.03 (b) -3 (c) -2 (d) 42\/101 (e) 1.53 (f) -4 (g) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14691 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 - 0?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*9\/(-81))\/((-1)\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*w - 8*w - 2144, 0 = -4*w - 3*o - 1700. Let h = 438 + w. Solve 0 = 5*j + 15 + h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.284061us in hours?\nAnswer: 0.0000000217455725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 654*3\/5 - 6\/15. Suppose 0 = 5*l - i - 468. What are the prime factors of l?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (19 - 3 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111101100010110000100 (base 2) to base 15.\nAnswer: 29c7ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q**2 - 6*q + 5. Let f be (-5)\/((-50)\/4) - (-6)\/10. Let j be i(f). Does j = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -43860 = -43772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18053 divided by -2.\nAnswer: 18053\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 29358 (base 14) to base 13\nAnswer: 37691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*d - 406 = 1156 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6527883ml in litres?\nAnswer: 0.0006527883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9632*r + 87343. Give t(-9).\nAnswer: 655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 562148889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 1)*(2*x - 3*x + 2*x)*(21 + 6 - 12) to the form p + t*x and give t.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 - 14*a**3 + 0*a - 4*a**3 + a. Suppose 4*z - 8*z - 8 = 0. Is k(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 2. Let x = 1 - 5. Let t be 6\/21 - 160\/(-28). Let h = x + t. Determine n(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 11*v + 77. Let s be p(-7). Suppose s = -95*z + 98*z - 1020. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.498264 - -0.3\nAnswer: -12.198264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/12 - -3*(-136)\/(-720). What is the nearest to 0.3 in -1.1, o, -11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r = 6. Let c be -2*(-6)\/(-12)*(-4 - -1). Let j(p) = -c*p**2 + 9*p**3 + p + 2*p**2 + 0*p**r + 1. Determine j(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 12. Let c be 33\/91 + (-22)\/286. What is the nearest to c in w, 4\/7, -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 10*k - 18 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 + 4*f + 7. Suppose -4*t + 8 = 36. Let v(a) = 2*a**3 + 3*a + 5. Let b(h) = t*v(h) + 5*o(h). Find the second derivative of b(s) wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 + 7*b + b**3 - 5*b**2 + 1 - 4. Let s be n(7). List the prime factors of (s\/3 - -3)*3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, d: 6, j: 4, g: 1, a: 2}. Give prob of sequence jd.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7*w - 4*b = 9, 2*b = w - 7. Is w\/(-3) + (-777)\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5598283483.00000018 + -5598283433. Let o = 50 - y. Round o to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28414 to the power of 1\/2, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d + 13 + 2*d + 7*d - 2*d to the form a*d + w and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5140\/(-220) - -23)*(-11)\/(-110).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203213 is divided by 99.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4776\/917 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(((756\/(-35))\/12)\/((-6)\/20))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2599999)\/4 - 4\/16. What is n rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/3 + 15628*q\/3 - 15622 = 0.\nAnswer: 3, 7811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 14 = -2*s, 4*s + 2*h - 10 = -0*h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476526?\nAnswer: 2, 3, 43, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*4\/(-4)*(-1)\/9.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1333362 and 32074.\nAnswer: 9333534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -19131.\nAnswer: -19131, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m - 4*b + 16, 3*m - 5*b = -19. Suppose -n + 56 = 3*x + n, n = -m. Let v = 39 - 2. What is the remainder when v is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - a)*(1447*a**3 + 35275 - 35275) + (a - 3*a + a)*(-2*a + 2*a - 2*a**3) to o*a**2 + z*a + y + i*a**3 + b*a**4 and give b.\nAnswer: -1445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -376 divided by -47?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(11) + 1) + sqrt(11) + 3)*-5)**2 + sqrt(1100) + (sqrt(66) + -2*sqrt(66))\/sqrt(6).\nAnswer: 159*sqrt(11) + 2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 3637924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 28*n - 2. Let a be s(-5). Let o(x) = 5*x**2 + 7*x - 3. Let r be o(-8). Let v = a + r. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -54, 2755 in descending order.\nAnswer: 2755, -1, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -81550.6495 - -0.7697?\nAnswer: -81549.8798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5951 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/4)*x*x*(x\/x**(1\/9))\/x*(x\/x**(-1))\/(x\/(x\/x**(-1\/4))))\/((x*x\/(x\/x**(3\/8)))\/(x*x**(1\/3))*(x**(-2\/3))**(5\/7)) assuming x is positive.\nAnswer: x**(2935\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-3 - (-13 - -7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 12 = -2*c, 5*c = h + 2*h - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*p = -260, -s - 3*p - 327 = -6*s. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 5*v + 432. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1224 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.866578g in kilograms?\nAnswer: 0.001866578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r*z**2 - r*z - 3*r + 6*z**2 - 48*z + 11525 wrt z.\nAnswer: -2*r*z - r + 12*z - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*b - 5*y + 46, 2*b + 2*y = 24. Solve 2*k + b = 3*i, 3*i = 15 - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 1066 = 1146 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30418256 and 572.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(3) + 3 - (3 + sqrt(3)*2).\nAnswer: -sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 3*o - 9, -3*c + 101*o + 5 = 102*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1382893467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(((-4)\/18)\/(3\/(-18))). Let d(t) = t**2 + 9*t + 9. Let h be d(-7). Let o be (7 + h)\/(4\/10). Solve -o*b - a = -6*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 11 + 11)*(-2 - 1 + 7)*(-6 + 6 + 19*y).\nAnswer: 76*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**4\/12 - q**3\/2 - 3*q**2\/2 + 3*q + 11. Determine w(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -589 - -588. Let s = -0.5 + 1. Which is the closest to r? (a) -0.3 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2811617 is divided by 201.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 x when four letters picked without replacement from {k: 5, x: 14}.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/((q**(-14\/9)\/q*q)\/q))**9\/(q**(-24))**(-2\/63) assuming q is positive.\nAnswer: q**(845\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*i + 54. Let v(r) = -r**3 + 9*r**2 - 3*r + 16. Let h be v(i). Put h, 5, -1\/6 in ascending order.\nAnswer: h, -1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27530123 - 18213*t + 27530123 as r + b*t and give b.\nAnswer: -18213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**3 - 7*n**2 + 7*n - 1. Let s(t) = -t**3 - t + 1. Let q(r) = k(r) - 4*s(r). Find j, given that q(j) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 86 or 776\/9?\nAnswer: 776\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*a - 3*j + 5*j, 3*a + 4 = -5*j. Solve a*c - 91 = -112 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1700530 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5068 - -7226. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2239.1 and 113447?\nAnswer: 111207.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4 + (0 - 1 - 1)*(0 - 2 + 4))*(21 - 4 + 0)*(0*f - f**3 + 0*f)*(-3 - 6 - 41).\nAnswer: -2550*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-3 - -34) - (49 - 56) - -1?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2270221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13548 + 13548 + 41*o + (-6 + 2 + 3)*(4*o + 2*o - 4*o) + 2*o + 0 + 0.\nAnswer: 41*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 736 divided by 9\nAnswer: 736\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 11*q**8\/56 + 3*q**4\/2 + 18*q. Find the third derivative of z(b) wrt b.\nAnswer: 1320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.2 (b) -4 (c) -2\/3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r**2 + 11*r**2 + 32*r**2)*(r - 6*r - r) in the form v + q*r + s*r**3 + u*r**2 and give s.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*q**3*y**6 - 194*q**3*y**4 + 21387*q**3*y**2 - 3*y**2 wrt y.\nAnswer: -6720*q**3*y**3 - 4656*q**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 64\/24*6\/4. Suppose 2 = 5*n + v - 15, f*n = -5*v + 1. Suppose 5*m + 4*l - 1328 = 0, -4*l = n*m - 8*l - 1084. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2020, -7994, -17978, -31972, -49976?\n\"Answer: -2005*v**2 + 41*v - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6186 or 6244?\nAnswer: 6186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {r: 3, u: 1, q: 2, k: 5, n: 8}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**3 - 66*a**2 + 7*a + 3. Let m(x) = -9*x**3 + 132*x**2 - 16*x - 7. Determine 3*m(i) + 7*z(i).\nAnswer: i**3 - 66*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/(-70)*-4)\/(-2*7\/(-49)). Suppose a - 5 = -1. Sort a, l, -1 in decreasing order.\nAnswer: a, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**5\/3 + 55*o**4\/3 - 1525*o**3\/3 + 615*o**2 + 7380*o - 15840 = 0. Calculate o.\nAnswer: -24, -4, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.878*-125\nAnswer: -109.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/12*18\/27*2\/32\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41961?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 631.234018 to the nearest 10.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 - f - 1. Suppose -4*z + 2*z + o = -2, -o = -3*z + 1. Let v = -2 - z. Give a(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69*c**3*j**2*v - 6*c**3*j + 2814*c**3*v**2 - c**2*j**2*v**2 + 9*c**2*j**2 - 2*c**2*j*v**2 + 732*j - 3*v + 1 wrt c?\nAnswer: 414*j**2*v - 36*j + 16884*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 67*q**2 - 47 wrt q?\nAnswer: 134*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30100103*p**6 - 69*p**2 - 113988.\nAnswer: -3612012360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 3 - -4)*1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 36.4+-5149\nAnswer: -5112.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x - 4*x + 4*x + 14*x.\nAnswer: 19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 6*q - 5. Let j be b(5). Let h be (-22)\/15 + 14\/21. Is j less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 57.7. Let v = 10.3 + q. Let o = v - 11. Which is the closest to o? (a) 0.08 (b) -5\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1031 + 10?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 523*q**2. Let f(w) = 3*w**2 - 383*w. Give f(i(c)).\nAnswer: 820587*c**4 - 200309*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 781220 and 0.12.\nAnswer: 93746.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 0)\/(5\/20). Calculate the common denominator of u*-74*1\/12 and -37\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.211 + 0.001. Let i = -243.7131103 - -243.5031. Let f = x - i. Round f to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3613679 + -4?\nAnswer: -3.6386321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iib when three letters picked without replacement from {j: 1, r: 6, i: 4, e: 3, x: 2, b: 2}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44872 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10088124 to the nearest integer?\nAnswer: 3176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 9*s**2 + 4*s - 4. Let o be l(9). What is the greatest common factor of 256 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 920722614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.181 (b) 0.1 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1479614 * 3\nAnswer: 4438842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 28. Let z be q(0). Let h = -13 + 21. Let j be (0 + -6)\/(h\/z). Solve -2*u = 3*c + 22, j = c - 0*c - 5*u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q + 22. Determine y(17).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6) - ((-10218)\/63)\/(-13))*(-1414)\/(-404).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1119846266 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a + 87. Let c = -25014 - -24990. Calculate b(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2 = l, h + 1 = 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*(sqrt(1900)*-2 + sqrt(1900)) - (sqrt(1900) + sqrt(1900)*-3 + 4) - -5*(-1 + sqrt(1900))*-5*4)**2.\nAnswer: -180480*sqrt(19) + 16797612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 0*o + 3*o)*(-1 + 3*o**3 + 1)*(0 + 2*o + 0).\nAnswer: -12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {m: 12, k: 1, r: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 90?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -346905.\nAnswer: 1\/115635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 326 + 16. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196.5365 + -4629.86\nAnswer: -4433.3235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) -6 (c) -0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1119 at least -1108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - -117. Suppose -3*s - 3*s = -v. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.17, -2, 2, 3\/2?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 20*r**3 + 16*r + 221*r**2 + 172*r**3 + 103*r**2 - 48 - 28*r**4 - 24*r**5 = 0.\nAnswer: -2, -1\/2, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 - 28)*(1 + 0 + 0)*(17 - 58*m - 17) to n + b*m and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7, -3, -13, -23, -33, -43?\n\"Answer: -10*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -27. Let x = -128 - -128. Let v be 12\/(-14)*(-1)\/3. Which is the nearest to x? (a) 2 (b) v (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*u**2 + 16*u + 287\/3.\nAnswer: (u + 7)*(u + 41)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2. Let m(p) = -4*p**2 + 14*p + 106. What is m(b(g))?\nAnswer: -16*g**4 - 28*g**2 + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1997805574?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(12 - 23 - 2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -82, -124, -166, -208, -250?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434 = 4*k - 4*r + 126, 3*k - r = 221. Let g be 38\/9 - 16\/k. Let b(d) = 2*d**3 - 3*d**2 - 2*d - 5. What are the prime factors of b(g)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4168454017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 <= 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 6049.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70\/83 - -5187\/1328. Let n be (4\/(-144))\/(-87*(-2)\/36945). Let c = -51\/116 - n. Find the common denominator of u and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 9964482*s - 8274241794027.\nAnswer: -3*(s - 1660747)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4139?\nAnswer: 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 61c85e8 + -3?\nAnswer: 61c85e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**2 - 2422*g - 443*g - 845883 + 755*g - 1076*g = 0?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4438, -5424, -7070, -9382, -12366?\nAnswer: -16028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 49a2 + 4?\nAnswer: 49a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 13*c**2 + 60*c - 89. What is z(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z + 6 + 3 - 4 + 5*z to the form s*z + a and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -20*t**4 + 2*t**3 - 2*t + 14. Let o(l) = -99*l**4 + 11*l**3 - 11*l + 70. Let x(u) = -11*f(u) + 2*o(u). What is the first derivative of x(w) wrt w?\nAnswer: 88*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.26 - 0.26. Let x = -15.5 + c. Let g = x - -5.5. What is the third smallest value in 2\/17, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -8*c**2 + 3*c - 3. Let h(f) = -6*f**2 + 2*f - 2. Let m(p) = -2*a(p) + 3*h(p). Let t(q) = 0 + 0 + 17*q. Calculate t(m(i)).\nAnswer: -34*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29\/6 + 82\/3. Let f = -9\/536 - -20967\/3752. Calculate the common denominator of t and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 632628 and 2349.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - 15 = 20*p. Suppose -p*z = k - 146, 3*k - 3*z - 414 = -0*z. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**2\/7 - 27*a\/7 + 24\/7 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185814?\nAnswer: 2, 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i = -2*i - 17*i - 49504. Calculate the least common multiple of 143 and i.\nAnswer: 32032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.58 - -0.678. Let c = 0.058 - v. Let t = -0.06 + c. What is the closest to -0.1 in 4\/7, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3663*q**5 + 1768*q**2.\nAnswer: 219780*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 1. Let v(g) = 2*g**2 + 4*g + 3. Let i(f) = -4*a(f) + v(f). Let s be i(2). Which is smaller: -6 or s?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + 2*g**2 - 2*g**2 + (-2 + 2 + 2*g)*(-11 + 11 + g) - 6*g + 6*g + 2*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -5. Suppose 2*i - 5*s = 0, 0*s + 9 = i + 2*s. Suppose i*h - 4*n = 45 - 4, -p*h + 4 = 4*n. Solve 2*c + c - z + 3 = 0, 12 = -h*c + 4*z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -11*k**3 - 5*k**2 + 5. Let p(t) = -99*t**3 - 44*t**2 + 44. Give -5*p(v) + 44*w(v).\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (4 - (-7 - -3 - -13)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 - -137. Let f be (-8)\/(-2) + m\/(-14). Let c be -404 - -4 - (0 - f). What is c rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 609496 and 66409128.\nAnswer: 12968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 78?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8 + 5 - 10*g + 4*g. Let s be l(-1). Suppose 2*o = -5*z - 3*o + 140, -4*o + 79 = s*z. 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: What is 19356 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1992 - 1971. Suppose 4*z - 7 = 5*g, -n*g = -3*z - 20*g + 8. Suppose 0 + 0*h - 26\/3*h**2 + 2\/3*h**z = 0. Calculate h.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**4\/24 - t**3\/3 - 76*t**2. Suppose -4*a + 2*a + 20 = 0. Determine o(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 309\/12 - 2\/(-8). Calculate the remainder when s\/13*4\/1 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 3:17 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t - 39. Let m be (t - 4)\/(2\/6). Let y = -50 - m. What is y rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120 + -120 + 0 + -9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2025 (base 10) in base 9?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4123 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z. Let d(y) = 296*y. Let m(v) = -444*v. Let k(x) = 8*d(x) + 5*m(x). Determine c(k(o)).\nAnswer: -296*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13\/1 - 5) + -3. Let p be (-5)\/(-1) - (6 - r). Suppose 0 = -5*d + p*d + 251. List the prime factors of d.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 139*o**4\/4 + 177*o**3\/2 + 30*o**2. Let l(n) = 208*n + 133. Let b(c) = 9*l(c) - 2*m(c). Differentiate b(r) with respect to r.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -3201.15.\nAnswer: 6402.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y + 52. Calculate s(38).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 5*b + 288. What is the remainder when b is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/24206*-442*(-28)\/(-4)\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 63, -14.\nAnswer: -70, -14, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from {j: 3, c: 4, k: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1088227?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04924 times -0.026998?\nAnswer: 0.00132938152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75254843485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**2*v**5 - 14*g**2*v**2 - 11*g**2*v + g**2 + g*v wrt v?\nAnswer: 80*g**2*v**3 - 28*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2 + 14. What is the least common multiple of 156 and u?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (196*y - 129*y + 85*y)*(0 + 2 - 4)*(-14 - 119*y + 14) to x + h*y**2 + k*y and give h.\nAnswer: 36176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-16) + 22302\/1888. Solve -70 + 10 = s*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65104 and 11593520?\nAnswer: 5008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 1\/84*c**8 - 8\/105*c**7 + 0 + 0*c**3 + 9*c**2 + 0*c + 4\/15*c**5 - 2\/3*c**4 + 1\/10*c**6. Determine p, given that h(p) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 0*z + z**3 + 3 + 3*z + 0 - 2*z**2 - 2*z**3. Let u = 3 - 6. Let b be n(u). Solve 6 = i - b*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1190*g**2 - 36*g + 75. What is the units digit of h(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -162.726318106 and -3.\nAnswer: -165.726318106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gam when three letters picked without replacement from {m: 1, w: 1, g: 1, a: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2998983259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + sqrt(66) + sqrt(66)*-1)*-1*1)\/(sqrt(24)\/sqrt(4)*6 - 1*sqrt(726)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.871178 to one dp.\nAnswer: -66.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q - 12 = -i - 42*q, 6*i - 20 = -2*q + 32 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**3 - 9*w**2 - 32*w - 57. Determine i(-3).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2 + 2*m + 1. Suppose -z + g - 7 = 0, -5*z - g - 27 = 2*g. Is x(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787 times -0.036?\nAnswer: -28.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.08 + -13. Let d = 3.58 - g. What is d rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 89*d - 59 = 87*d, 3*y + 2*d = -29 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(5) + -2)**2*6.\nAnswer: -24*sqrt(13) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - ((-3 - 0) + -15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 3*l**2 - 4*l**2)*(8 - 8 - 4)*(-4*l - l + 7*l).\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 2)*(2 - 2 + 2*d**2) - d**2 - 3*d**2 + 5*d**2 - 3*d + 3*d - 2*d**2 + 6 - 110893*d + 110891*d - 4 + 378*d**2 as y + v*d**2 + u*d and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2861?\nAnswer: 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 51*(-57)\/(-323) - (-6827 - 2). Is 6838 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**2 + 110*g**4 + 35*g**4 - 214*g + 191*g**4 + 384*g**4 wrt g.\nAnswer: 17280*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.96 + 0.04. Let t = z - 6. Let r = 0 + -2. What is the second biggest value in t, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + j = 19, 0 = -5*o - 2*j - 3*j + 50. Suppose 16 + o = 5*k. Solve k*z + 7 = 3*g - 6*g, -2*z = -g + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**9\/504 + 2*f**5\/5 + 3*f**2 - 27*f. Let w(v) be the first derivative of u(v). What is the third derivative of w(l) wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 981138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 418*u + 5434 + 1254 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, 0.2, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17139975 (b) -1\/2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2712\/120)\/((-85)\/425).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 46031658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 14, v: 4}. Give prob of sequence qqq.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -474700 to the nearest 10000.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2) - (-13)\/(-2). Let m(v) = -53*v + 6 + 106*v - 51*v. Calculate m(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(72) - sqrt(72) - (sqrt(8) + -1)))**2*1.\nAnswer: -64*sqrt(2) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -0.10799225844454\nAnswer: -16.89200774155546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42221 (base 5) to base 15.\nAnswer: -c76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**3 - b**2. Let q be j(1). Suppose -2 = q*u, y - 3*u = -u + 3125. Suppose -y = -9*k + 3942. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 20*q**2 - 48*q - 39. Give b(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4879 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 - 0.22. Let q = z + 0.16. Let b = -14.2 - -15. Is b smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i + 7. Let s be n(-5). Let l(o) = -92*o + 55*o + 51*o - 14 + s*o**2. Let y(d) = -6*d**2 - 5*d + 5. Calculate 3*l(v) + 8*y(v).\nAnswer: 3*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 22*j**3 - 3*j**2 + 21*j - 6. Is y(3) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -7 - -15 - (-9 - (-1 + 0))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -k + 22, 2*c = 70*k - 68*k + 16. Let j(d) = 2*d**3 + 6*d**2 + 4*d + 2. Determine j(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 22*r**2 - 3*r + 68. Let c be i(22). Solve -6*a = 3*q - a - 7, -c*a = -4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 18. Let y be r\/8 + 405\/10. Let f = 44 - y. Solve -5*m + 8*m + 12 = 5*j, m = f*j - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Let q be (-16)\/40 - 4\/((-80)\/22). Is t > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 947802 = -3130848. Let u = z + 702523. What is u rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 6*o + 12. Sort o, 7, -0.1 in increasing order.\nAnswer: o, -0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227493184 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715763 is divided by 42099.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 200729170 and 3.\nAnswer: 602187510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 43\/11 and 91 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29947937 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 493293496 a multiple of 845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53490645 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9058831036 + 0.719?\nAnswer: 9058831036.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-4 - (-12 + 16)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o + 40 = 39*o - 2*r, 4*o + 4*r - 60 = 0. Solve -2*h + 4 = 2*c, 9*h - o = 8*h - 3*c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + (-16 - -14 - -1*20). What is the highest common factor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*m - 4579 = -4183 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, z: 2, c: 10, x: 2, t: 1}. What is prob of picking 1 c, 2 z, and 1 t?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/64*(-2 + 4\/(-6)). Let y(x) = -4 + 0 + 2 + a - 5*x**2. Let k(f) = 13*f**2. Calculate k(y(g)).\nAnswer: 325*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 - (-9 - (8 - 27))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 429ab66 + 4?\nAnswer: 429ab6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000085521 to 6 dps.\nAnswer: -0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 176?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*h + 4, 3*w + 28 = -2*w + 2*h. Let k(b) be the first derivative of 6*b - 1\/4*b**4 - 4\/3*b**3 + 3\/2*b**2 - 2. Give k(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/6*(29458\/(-440) - -67)\/(2\/(-51))?\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5909.063 + 5909. Which is the fourth biggest value? (a) 4 (b) 0.3 (c) x (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12\/19 + 22\/95. Let z = -42 - -38.3. Let w = z - -3.6. Put w, 5, u in descending order.\nAnswer: 5, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**2\/i))\/((i*i**(1\/9))\/i))\/(i*i\/(i*(i**(-4\/11)*i*i*i)\/i)*i*i*i*i*i*i*i*i**(-3\/7)) assuming i is positive.\nAnswer: i**(-4190\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1559 + 2830. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222110111111 (base 3) in base 8?\nAnswer: 6025210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**5\/60 - 7*u**4\/12 - 4*u**3\/3 + 5*u**2. Let j be l(-11). Solve 0*p = 5*p + j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1564156 and 1034132?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3538\/7 + -505. Factor 1\/7*j**3 + b*j**2 + 1\/7 + 3\/7*j.\nAnswer: (j + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -244*y - 1190. Let b be v(-5). Calculate the highest common factor of b and 17900.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/315)\/(9\/(-21)). Let i = -65\/4 + 16. Which is the closest to 0.5? (a) -3\/5 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661315309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -223.82 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 25*t + 26 + 53 + 17 = 10*t, -t - 7 + 1 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16ce (base 15) in base 12?\nAnswer: -2a1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 4*p**2 - 3*p**2)*(-p**2 + 0*p**2 + 0*p**2) - 116*p**4 + 30*p**2 - 30*p**2 - p**4 - p**4 + p**2 + p**2.\nAnswer: -116*p**4 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 1. Solve -8*m + 4 = -h*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 8*d**2 + 7*d. Suppose -9 = o - 2. Let b be j(o). Let s(f) = -4*f + 28. Let u be s(7). Solve u = -z - b - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(12)\/(sqrt(4)*-2 + sqrt(4))) - ((sqrt(245) - sqrt(245)*2)**2 + sqrt(5) - (sqrt(5) + 1 + sqrt(5))*-1).\nAnswer: -246 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3241*m**3 - 3246*m**3 - 3242*m**3 + 9703*m**3.\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 271 (c) -11 (d) -4\/5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 9. Let i be b(5). Let h = 18 - 13. Suppose 5*u - i*u = h. Sort 1, -3, 2, u in increasing order.\nAnswer: -3, 1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479 + 497 = 3*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -952*z - 14 = -951*z + 3*f, -41*f + 2 = 4*z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277a (base 11) to base 14.\nAnswer: 144c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*g**6 + 3*g**2 - 5*g**2 - 5*g**6 wrt g.\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 = 2*j - 1, 0 = 4*j - 4*f. Suppose -2*v + 4*y = -26, -j*v - 6 = -7*y + 11*y. Let x be ((-1)\/(-2))\/(3\/18). Solve v*i - 10 = x*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(40\/(-270)*-3)\/(2\/15)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1667840?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/7, 2.35, -133\/4, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44376000 rounded to the nearest one million?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from -63.6.\nAnswer: -71.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/3 - 32618*o**3\/3 - 21747*o**2 + 32618*o\/3 + 65240\/3 = 0. Calculate o.\nAnswer: -2, -1, 1, 32620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 1183*f**5 - 28964*f**4 - 458213*f**3\/4 - 214653*f**2\/4 - 15975*f\/2 - 378 = 0.\nAnswer: -3, -2\/7, -3\/26, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 1920*s - 728011. What is f(520)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*o, -4 = -o + 3*n - n. Suppose -4*v + 7 = -j + 211, 0 = 5*j + o*v - 1064. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 8. Let y be a\/(-54) - 2\/(-4). Let m = -107 + 107. What is the closest to m in y, 2, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u. Let w(g) = 3*g + 2. Let a(h) = -h. Let y(p) = p - 1. Let n(j) = -2*a(j) - y(j). Let l(b) = -4*n(b) + 2*w(b). Determine l(z(x)).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (-10 + -20 - -17) - 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40\/189 - -2\/27. Let l be (-160)\/30*(-6)\/(-98). Let w = -145\/294 - l. What is the fourth biggest value in 3, 4, k, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 18 = 6*y - 3*u, u = -5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 17*i - 16. Suppose -s - s = 3*l + 38, -2*l + 28 = -2*s. Let w be z(s). Which is the second biggest value? (a) -0.4 (b) w (c) -5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 6*r - 15 = 0. Which is the biggest value? (a) r (b) -3\/5 (c) -6\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 15. Let f be 63 - (-3 + 7 + o). Solve 5*c = 76 - f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 254 and -0.78.\nAnswer: 253.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 12.1, 1\/2, -3, 64893.1 in increasing order.\nAnswer: -3, 1\/2, 12.1, 64893.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 11 = -1. Let r = -27 - -33. Suppose 5*a + a + r = 0. Sort 3, a, y in decreasing order.\nAnswer: 3, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/699484 or -1?\nAnswer: 5\/699484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -289\/55 - -60\/11. Let s = 459\/91 + -60\/13. What is the closest to 2\/3 in s, q, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*t - 164, -2*t + 18 + 10 = n. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 2087 + 1045 + 1042.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 5528424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/2 + (-350)\/(-110).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 610*z - 2045011 + 1973031 for z.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*s - 349 = 828 - 5201 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*u + 923*u = -41850 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -122 (b) 2\/15 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*c - 1)*(2*c**3 + c**3 - 2*c**3) + 4*c**4 - 727*c**3 - 2*c**4 + 967*c**3.\nAnswer: 4*c**4 + 240*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*h - 7, -4*h + 2*p + 11 = -3*h. Suppose h*s - 22 = -7. Let d = -4 + s. Which is smaller: 1\/13 or d?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37588 + 4*t**2 - 37588.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -48. Suppose 3*z + o - 6 = 0. What is the common denominator of z\/(-35)*(-460)\/(-24) and 34\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 228882 and 444.\nAnswer: 457764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, p: 8, o: 2, x: 3}. Give prob of picking 1 x and 1 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.55 + -213.45. Let z = t - -213.78. What is z rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -21849*i - 8653. Let o(m) = 32773*m + 12976. Let r(n) = -5*o(n) - 8*s(n). Differentiate r(v) with respect to v.\nAnswer: 10927","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 46. Solve -4*r - j*l = -22, 1 - 5 = -3*r + l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*b - 5*q + 4 = 91*b, 0 = -b + 4*q - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1547 - -5997. Is 4450 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 33 + 1 = 4*l, 0*w - 27 = -3*w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u - 304 - 46*u**2 + 3*u + 297. Let w be b(-3). Round w to the nearest 10.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**5*s**2*s**(-9)*s*s*s*(s\/(s*s\/(s\/s**(5\/7))*s*s)*s)\/s)**(-21))**(-6) assuming s is positive.\nAnswer: s**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1654212 and 135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(6*-1*sqrt(12)).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:48 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 4. Let d be z(4). Calculate the lowest common multiple of 14 and ((-6)\/4)\/(-3)*d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1345 or 34\/79?\nAnswer: 34\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 - 8*w + 8. Determine s(7).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 times -3?\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117 + 119. What is the highest common divisor of g and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**3 - 7400*u + 4 + 3703*u + 3707*u to the form w + m*u**3 + k*u**2 + j*u and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438034389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -5, 2\/7, -0.1, 3\/460, 2 in decreasing order.\nAnswer: 27, 2, 2\/7, 3\/460, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/56*4\/40?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36660, 76791, 116922, 157053, 197184?\nAnswer: 237315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*y = -2*t + 23, -2*y + 10 = 4*t. Let d be ((-1)\/(-4))\/((-1)\/(-8)). Put -8, d, t in increasing order.\nAnswer: -8, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (35\/20)\/(1\/8). Let o be v*2\/(-24) - 3\/(-6). What is the second smallest value in 2, 4, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21024259 is divided by 434?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-6))\/1*24\/(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 237 + -234. Suppose 0 = z - 5*j - 7, -j - 1 = -p. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104a (base 11) to base 2.\nAnswer: -10101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131618771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 5:59 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.281973.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) -1.1 (b) -0.02 (c) -3 (d) 36 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 249942 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 2. Suppose -3*z - x = -6*x + 32, 0 = -4*z - s*x - 34. Let r(c) = c**3 + 9*c**2 - 2*c - 6. Calculate the remainder when 47 is divided by r(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -1994.34.\nAnswer: -1994.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69746951 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 6:51 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/46719 and 139\/31146.\nAnswer: 93438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17529083?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*v + 3 + (3 - 5 + 1)*(2 - 2 - 5*v) - 2 - v - 4*v + 4*v.\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 318500 a multiple of 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*h + 1826177, -5*h = -2*h + 3*l + 1095699. Let n = -665236 - h. Round n to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.34 and 55.535?\nAnswer: -18.8819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-15 + 22 + -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 170431457?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + sqrt(77)*-2*6)) + ((sqrt(77)*-1 - sqrt(77))*-2 - sqrt(77)))\/(4*((-2*sqrt(11) + sqrt(11))*6 - sqrt(55)\/(sqrt(15)\/sqrt(3)))).\nAnswer: -15*sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + 846?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 861 - 872 = b, -54*j + 44 = -4*b - 61*j for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1088728 divided by -4462?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 369 + -374. Let r be (-2)\/(-2) + t + 0\/2. Which is the closest to -0.1? (a) 2\/13 (b) -28 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1372157?\nAnswer: 23, 59659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3921971?\nAnswer: 3921971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383 = 12*f + 431. Let r = 254\/153 - 16\/9. What is the second biggest value in 4, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 37555972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126 - 116. Solve 5*w + x + 5 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -v, -3*z - 2*z = 3*v. Let i be (1 + -20)*(-1 - v). Let x(w) = 18*w + 2. Let n be x(2). Calculate the greatest common factor of i and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**9)**(-32)*(r*r**(-11\/7))\/r*r**(-4\/11)\/r)**(-5) assuming r is positive.\nAnswer: r**(112010\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2 + 5*t - 13. Let n(i) = 7*i**2 - 11*i + 27. Let q(g) = -8*g + 71. Let x be q(10). Let y(w) = x*v(w) - 4*n(w). Give y(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7426 (base 13) to base 10.\nAnswer: -16087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24485 and 71048?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-1014)\/(-104))\/39*84?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 379c + 4?\nAnswer: 37a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - p - 229 = 0, -2*s + p = -34 - 60. Let j be (-3)\/(7\/((-42)\/s)). Let r = -2 + 1.9. Which is smaller: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 2, 3.54?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36179 = -5736*b + 1606*b - 38161 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17481546?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z*z\/(z**4\/z))))\/(z*z**(-1\/7)\/z))\/(z*(z**(-2\/11)*z)\/z*z*z**(-2\/7)))\/((z**0)**(-30)\/(z**1\/z)**(-1\/38)) assuming z is positive.\nAnswer: z**(-184\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7513781447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2053721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96400799?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*q, -5*c + 311 = q - 2*q. Does 13 divide 4928\/c - (-12)\/(-54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 731, -5087?\nAnswer: -5087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(2\/9)*m**(2\/15)\/m*(m**(-2\/7))**(19\/6)*((m\/((m*m**(-1)*m)\/m))**(1\/30))**44 assuming m is positive.\nAnswer: m**(289\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 11 - -18) + -32.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -188443 or -188423?\nAnswer: -188443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -18*f - 8. Let w be b(-1). Suppose -147 = -0*m - 3*m. Let k = m - w. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*k = 3*w + 275*k + 15, 5*w = 2*k + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2447 (base 8) in base 16?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95\/161 + -7\/23. Let p = -4202 - -4197. Let n be (3 + -2 - 2)\/5. Which is the second smallest value? (a) u (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**6\/2 + 55*g**2\/2 + 127*g. What is the first derivative of p(n) wrt n?\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1901, -3769, -5637?\nAnswer: -7505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3531331 - -6.\nAnswer: 3531337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 6 - (2 + (-6 - (-1 - 1))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4782, -4781, -4780, -4779, -4778?\n\"Answer: o - 4783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -1.1. Let k = 333 + -405. Let i = 79 + k. Which is the second biggest value? (a) s (b) 0.3 (c) i (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**4\/3 - 60*a. Let o(h) = 12*h**2. Determine y(o(c)).\nAnswer: 576*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - (-1 + 1)) + 0. Let m = 6 - 5. Let w = 1 + m. Solve -d*p - 3 = -3*z, 4*p + 3*z + 9 = w*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116595620 and 67652.\nAnswer: 5204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44788 - -3672571\/82. Let d = -2\/41 - j. Let w = -7.4 + 7. What is the nearest to d in 1, w, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17626\/(-290829))\/((-1)\/77).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*4\/4)\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000620649 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 40, 165, 380, 685, 1080?\n\"Answer: 45*m**2 - 10*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 162*b - 1607. Determine v(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -1. Suppose 3*b - 98 = 2*i - 2*b, -3*i + 2*b - 158 = 0. Let f = i + 58. Sort f, g, -5, -1 in increasing order.\nAnswer: -5, -1, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-3)\/(6\/2). Let f = t + 6. Suppose 3*n - 7*n - 64 = 4*z, 2*z = -f*n - 26. Find the common denominator of -17\/6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*o + 4 = 0, -4*o - 8 = -2*h - o. Suppose 0 = -0*b + h*b - 168. What is the remainder when 48 is divided by 1\/(-2 - b\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hpphhhiipppipii. Give prob of sequence ipii.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.24775 and 0.0419.\nAnswer: -0.261780725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17802028*j*v**2 - 221*j*v + 436*j + v - 2 wrt v?\nAnswer: 35604056*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (sqrt(2)*2)**2) + ((2 + sqrt(242))**2 - (sqrt(2) + (sqrt(288) + 0)**2)).\nAnswer: -96 + 43*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295744 = y + 3*x + 295719, -12*y = 5*x - 52 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-119 + 101 - -12) + (1 - -31)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 11*g - 6. Let f be k(10). Let b = f + -2. Let v(n) = -2*n**b - n + 2*n**2 - n**3 + 2. What is v(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4456*o**2 - 29*o - 30. Is b(-1) a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 1 + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y. Let g(w) = w. Let z(f) = -2*f**2 - 2*f + 7. Let r(j) = -2*g(j) - z(j). Let l(i) = i**2 - 3. Let o(x) = -7*l(x) + 3*r(x). Determine o(n(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*((-820)\/12)\/5. Suppose 16 - j = -5*u. Let k(n) = -3*n + 3. Let s(h) = 5 - 1 - 2*h - 2*h. Give u*s(t) - 6*k(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000205493 to 6 decimal places.\nAnswer: -0.000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 6, 5\/14, 2?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 8*d + 23. Let h be l(3). Solve 9*u = u - h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8528192*b - 4753586 wrt b?\nAnswer: 8528192","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1850796658 to the nearest integer?\nAnswer: 43021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/39 (b) 0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from yyqyqeryyyyqyyefq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 5:46 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 56*s**3 - 3*s**3 - 8*s + 5*s + 36*s**3.\nAnswer: 89*s**3 - 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3030656 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53372, -106631, -159832, -212945, -265940, -318787, -371456?\nAnswer: -423917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -42*n + 508. Let o be a(12). Let y = 9 - 6. What is the highest common factor of o and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**8\/112 - 3*k**7\/35 + 13*k**6\/40 - 3*k**5\/5 + k**4\/2 - 14*k**2. Suppose i(v) = 0. Calculate v.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -9*z**2. Let m(t) = -7 + t - 2*t + 4*t + 4 + 6*t. What is m(h(j))?\nAnswer: -81*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19296220 times -9\nAnswer: 173665980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (3 + -4 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3155 is divided by 151?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9.1 and -59.68301?\nAnswer: 50.58301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4216 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 202298568*i**4 - 77276*i**2 - 3*i - 100 wrt i.\nAnswer: 4855165632*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 45, 185, 427, 777, 1241?\n\"Answer: t**3 + 45*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -4, -12, -2 in ascending order.\nAnswer: -12, -4, -2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 3*d**2 - 4*d + 5. Let s be t(4). Find the second derivative of x**5 + 6*x**5 - 2*x - 6*x**s wrt x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 541255003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2584 = -2434*w + 2298*w for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 381110 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4143431421 - -2?\nAnswer: 4143431423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 - 11*q - 5. Determine a(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + 30*s + 4 - 72*s + 6*s**2 + 44*s - 3*s**2 to u + k*s + p*s**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000097759 to seven decimal places.\nAnswer: -0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/6412 and -45\/22?\nAnswer: 70532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.1 and 17019.9.\nAnswer: 17021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 79522 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -2. Let y be 6 - 3*z\/(-9). Suppose p - 2*s = 5*p - 2, -y*p - 5*s + 10 = 0. Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**4 - r**4 - 4*r**4)*(7 - 1 - 1) in the form d*r + m*r**2 + k*r**3 + j*r**4 + w and give j.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -345132 by 4.\nAnswer: -86283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7133550 (base 9) in base 8?\nAnswer: -16400560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 11*x - 25. Let i be k(-13). Let r be (-656)\/(-24) + 1 - i\/3. What is the highest common factor of r and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1714 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18434169 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 0) + 16\/(-12). Let i = -8.6 + 86.6. Let r = 95 - i. Which is greater: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26 + 1)*(80949\/8995 + -9). Let q = 67645\/280644 - m. Find the common denominator of q and 45\/22.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-1) - (-12)\/(-2). Let t(v) be the third derivative of v**6\/120 + v**5\/15 - v**4\/6 + v**3\/3 - v**2. Calculate t(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -7. Let x = 8 + -7. Let r = x - c. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - (-29 - (-55 + 100))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmd when three letters picked without replacement from mmmmmmmmmmmmmmmmmmdm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 4*t = -27 + 23, 1 = 3*d - t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*p + 6 + 5*p**3 - 224*p - 6.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3\/11 - 1336*v**2\/11 + 225760*v\/11 - 881792\/11 = 0. Calculate v.\nAnswer: 4, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 8. Let k = -2 - c. Let v be k\/1 - 72\/(-9). Calculate the highest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 + 3 - 1 - 3*a**2 - 2 + 528*a.\nAnswer: 2*a**3 - 3*a**2 + 528*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32.2 - -5.2. Which is greater: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*c - 83 + 83)*(31*c**3 - 10*c**3 - 11*c**3).\nAnswer: -830*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6203580 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bbc78c (base 13) in base 4?\nAnswer: -203103000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8*i*i\/(i\/(i**(-4)\/i*i)))\/(i**3*i*i*i*i\/(i*i\/((i**(3\/8)\/i)\/i))) assuming i is positive.\nAnswer: i**(13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)*y*y**2)\/((y*y**(1\/12)\/y)\/(y\/y**8)) assuming y is positive.\nAnswer: y**(-85\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130\/17 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/7, -3, -0.084 in decreasing order.\nAnswer: -0.084, -2\/7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*k + 1975723*k**3 - 1975725*k**3 - k - 28 - k**2 - 2*k**2 to h*k**2 + g*k + d*k**3 + v and give v.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 times 0.0559?\nAnswer: -1.2298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 404.3 from -0.4.\nAnswer: -404.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**3\/3 - u**2\/2 + 2*u. Let x(z) = z - 8. Calculate the remainder when d(-6) is divided by x(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o**2 - 19*o**2 - 4*o**2)*(9 + 6 + 2).\nAnswer: -510*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 3*u + 3*u)*(-20*u + 0*u - u) + 11*u**2 - 9 + 2 + 5.\nAnswer: -31*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205134 is divided by 523?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 733898609.\nAnswer: 733898609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4117595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -490.\nAnswer: 11\/490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0 + 6 = 0. Calculate the smallest common multiple of (8\/6)\/(1\/9) and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174447?\nAnswer: 3, 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = -3*w - 5*w. Suppose -3*d + w + 89 = 0. Let y = 30 + -21. Calculate the highest common divisor of d and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 60*u**2 - 19*u + 95. Does 4 divide b(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 1. Suppose 15 = -3*o, 4*k + 11 = -3*o - 4. Calculate c(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496138 is divided by 851.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*y**3 + 13*y?\nAnswer: 342*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.081 in -0.4, 1\/4, 5, -16, 2\/15, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Suppose -s = -5*t - 2 + 4, -4*t = a*s + 4. Suppose 0 = -4*y - t + 4. 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 the square root of 87086742 to the nearest integer?\nAnswer: 9332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, -108, 2, 10 in decreasing order.\nAnswer: 10, 2, -0.3, -4, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-15) - (-4264)\/(-40). Let x = l - -110. Factor 4*w**x + 2*w**3 + 7*w + w**4 + 12*w**2 + w.\nAnswer: w*(w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*d + 43*d - 117*d**2 - 27*d as q + u*d + c*d**2 and give c.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 17.72. Let v = -0.08 - i. What is the closest to v in -2, -3\/5, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/4524762 and -151\/25278.\nAnswer: 4524762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 8 = 32 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2331*z - 5896. What are the prime factors of g(-8)?\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 420615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -8*m**2 - 4*m - 1. Let u(j) = 25*j**2 + 12*j + 2. Let p(v) = -7*g(v) - 2*u(v). Is p(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 3*u + 5*u)*((0 + 0 - 1)*(4 - 3 - 2) - 1 - 4 + 7 + 1 + 3 - 6 + (1 - 2 + 2)*(0 + 2 - 1) - 10 + 0 + 3)*(-26 - 5 - 16).\nAnswer: -235*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**5 - 9*m**4*y + 18*m**3*y**3 - m**2*y**2 + 3*m**2*y - 766*y**3 wrt m?\nAnswer: 60*m**2 - 216*m*y + 108*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266 and 49805?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**3 + 3*y**2 - 3*y + 3. Let l = 1 + 4. Let h(m) be the first derivative of 7*m**4\/4 + 5*m**3\/3 - 5*m**2\/2 + 5*m + 10. Calculate l*t(b) - 3*h(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(19)*2 + -3 + 4)*6.\nAnswer: -48*sqrt(19) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 5*k**2\/2 + 5*k - 67. Calculate n(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614900774?\nAnswer: 2, 43, 7150009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 18*w - 7. Calculate i(-6).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15422 (base 8) to base 4\nAnswer: 1230102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7\/3)*j*j)\/((j**3*j)\/j))\/((j**(2\/7)*j*j)\/j)**23 assuming j is positive.\nAnswer: j**(-691\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*p + 3817*p - 100438 - 21386 = -718*p for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jiphpjiph. What is prob of sequence jp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 13*f + 21. Let u be w(2). Let t be (-1 + 265)*u\/(-1). Find the common denominator of (-4)\/3 + t\/54 and 41.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3)\/t)**(3\/2)\/(t\/(t**(1\/4)\/t)*t)**(1\/29))**(-1\/11) assuming t is positive.\nAnswer: t**(301\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28.5 - 220.6. Let o = l + 253. Which is the closest to 2? (a) 2 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97343.19 millennia to years.\nAnswer: 97343190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**5\/4 + 3*o**3\/2 - 10*o**2 + 65*o + 1. Let r(n) = -7*n**2 + 4. Give 6*q(y) - 13*r(y).\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 1. Let w(y) = -28*y - 21. Calculate 42*k(z) - 2*w(z).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -232, -1, 0, -2 in ascending order.\nAnswer: -232, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-2625)*-321 - (-144)\/126?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 12*h**2 - 7*h - 1251. Let w(j) = 5*j**2 - 3*j - 627. Calculate 3*t(m) - 7*w(m).\nAnswer: m**2 + 636","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 1\/4 (c) 28 (d) -5 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1020302\/15 + -68020. What is b in -x*b**5 + 0 - 8\/15*b**4 - 2\/15*b - 4\/5*b**3 - 8\/15*b**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*c = 0, -9 = -3*j + c. Suppose j - 36 = -3*u. Let s = 54 + -34. Calculate the remainder when s is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 9815*h - 68711. Give n(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.16 + -11.84. Sort u, 1\/6, 3.\nAnswer: u, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6104084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1190 and 425.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*y**3 + 814*y**3 - 243*y**3 - 246*y**3.\nAnswer: -21*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42336721 is divided by 143.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-16))\/(1\/4). Suppose -2*i = -g*i + 5. Solve 0 = -i*s + 2*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 3, 5\/14, 1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -149199*v**5 - 547670*v**2 wrt v.\nAnswer: -8951940*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1845 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48693736 divided by -19201.\nAnswer: -2536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*(-2)\/(-28) + (-168)\/588. Let s(z) be the first derivative of 0*z + 1\/28*z**4 - 1\/21*z**3 + 1\/35*z**5 + 10 - h*z**2. Factor s(i).\nAnswer: i*(i - 1)*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 15 - 35 = 0. Suppose 15*u = h*u - 75. Let i = 24 + u. Solve 5*z + 6 + i = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -0.0634.\nAnswer: 0.3366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (43\/258)\/((-385)\/2520)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = 4. Suppose 2*h + 7 = 5*b, -b = 3*h - k*h - 7. Solve 9*q = 4*q - s + 11, h*s = -3*q - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1648\/48 - 5\/(-3). Let s = 768 - 426. What is the greatest common divisor of s and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*n**5 + 176130*n**3 - 10*n**2 - 132130055*n wrt n?\nAnswer: 120*n**3 + 1056780*n - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -20. Is 16 a factor of (-4)\/j + 2510\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6+1132.401800188\nAnswer: 1126.401800188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 3*t + p = 12, 2*p - 6 = -4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1302 - -13591. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 t, 1 w, and 1 g when four letters picked without replacement from qwwigtz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 11:31 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 5*f**4\/12 - 155*f**3\/3 + 305*f**2\/2 + 819*f. Solve d(h) = 0 for h.\nAnswer: 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-8)\/((-9)\/(-3) - 2)). Let w = -2.2 + 2. Let o = -6 - -11. What is the nearest to 0 in x, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 64, 3, 0.5, -423052?\nAnswer: -423052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 7*q + 3. Let x be z(-7). Let t be 1\/x + (-66)\/(-18). Which is greater: t or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**2. Let s(c) be the first derivative of 9*c**2\/2 - 2273. Determine s(p(m)).\nAnswer: -63*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -19. Put 1\/8, i, 0 in descending order.\nAnswer: 1\/8, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.7 (b) 0.1 (c) 0.1378 (d) -3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 11\/12*x**4 + 1\/10*x**6 + 0*x**2 + 1\/3*x**3 - 1\/20*x**5 + 7*x + 9. What is the third derivative of r(h) wrt h?\nAnswer: 72*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o\/((o**(-5\/3)\/o)\/o)*o*o)\/o)*o**(-5))**(-47) assuming o is positive.\nAnswer: o**(1504\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 17 = 4*u, -5*w = 4*u + 10 + 13. Let x = -0.3 - 3.7. Which is the closest to u? (a) x (b) -2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123179.\nAnswer: 7, 17597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y + 33*y - 238 = -2*o, -5*o = 5*y - 570. What is the remainder when 424 is divided by o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10345457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -12*l - 4. What is the remainder when 77 is divided by g(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddduddddddud. Give prob of sequence uu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11919137*s**2*v - 28408*s*v - 39*s + 2*v wrt s?\nAnswer: 23838274*v","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*n - 0. Let z be 1*(n\/2 + 9). Let r = z + 8. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 - -45. Let p be 2\/(-8) - (-45)\/t. What are the prime factors of (2\/p)\/(566\/(-188) - -3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**7\/105 + k**6\/20 - k**5\/30 - k**4\/4 + 2*k**3\/3 + 23*k**2. Factor s(l).\nAnswer: -2*(l - 2)*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 + -68. Suppose l = 75*d - 71*d - 196. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 25 = 5*g, 2324*g = -6*z + 2325*g - 5. Factor 1\/2*c**3 + z*c**2 + 0*c + 0.\nAnswer: c**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g - 83*g + 22*g + 630 = 0. Let j(h) be the third derivative of 0 - 1\/60*h**5 + h**2 + 1\/4*h**4 + 7\/6*h**3 + 0*h. What is j(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/2 + 264\/44.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/976920 and 57\/651280.\nAnswer: 1953840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585677048.\nAnswer: 2, 11, 31, 214691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -406, -615, -826, -1039, -1254?\nAnswer: -1471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2606 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -79*u + 178*u - 92*u + 81. Let g be b(-9). Solve -2 = -4*j + g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -328, 8\/9 in increasing order.\nAnswer: -328, 1\/2, 8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2327, -10042, -23139, -41624, -65503, -94782, -129467, -169564?\n\"Answer: -w**3 - 2685*w**2 + 347*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 171 = 30*d - 34*d, 0 = 2*d - 5*z - 252 + 537 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 95, 87, 77, 65, 51, 35, 17?\n\"Answer: -v**2 - 5*v + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*i = 34 + 95, -3*p - 4*i = -101. Suppose -38*o + p*o = 13. Solve -3*h - 1 = -o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*7)\/((-4)\/(-12))*(-9072)\/147. What is the greatest common divisor of 32 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 8:57 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2923, -3638, -4301, -4894, -5399, -5798, -6073?\n\"Answer: 3*d**3 + 8*d**2 - 760*d - 2174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 5*m - 2. Let a be h(-6). Suppose 4*o - a = -0. Suppose 2*z + 3 = -d - o, -3*d - 4*z = 6. Solve -20 = 3*n - i + 2*i, d*n = -i - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 7*m + 14. Let r be w(8). Suppose 4*k = 3*c - 20, -r = -3*c + 3*k + 9. Solve -2*j + c*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.41 in 13, -6\/5, 0.1099?\nAnswer: 0.1099","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14487 = 43*i + 2920. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (186\/(-48) - -5 - 6) + 5. Let r = 3.2 + -5.2. What is the smallest value in -0.5, r, z, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8608 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtdlkdk. What is prob of picking 2 d and 1 t?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1459 + -8735\/6. Let c be 1\/(-2 + (-11)\/(-5)). Suppose -c*w - 143 = 82. Calculate the common denominator of k and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 5*a**2 + 3*a - 11. Let l(p) = -p**2 + 4*p + 5. Let u be l(4). Let t be o(u). Suppose -8*j - t*j - 12 = 0. Let g(z) = -4*z. Determine g(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (72\/20)\/((-4)\/(-30)). Suppose 7 = -r + g. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:00 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 418 - 418.00000266. Round s to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -21*p**2 + 11*p. Let k = 1158 - 591. Let s(y) = 5*y - 574*y**2 + k*y**2 - y. Determine 4*b(d) - 11*s(d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12222201220 (base 3) to base 5\nAnswer: -12233111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 987 = -249. Let p = s - -613. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Let b = p - -3. Let x(r) = r - 2. Let n be x(6). Solve -n*h - b*f = -4 + 6, 0 = 4*f + 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-2))\/1 + 3. Let m be (-690)\/2300*(-10)\/6. What is the closest to 0.2 in 1\/3, m, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 21*b - 12. Let q(f) = -f + 3. Let l be q(-3). What is the hundreds digit of v(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21\/40 - 533\/40. Let n = m - -233\/10. Find the common denominator of -29 + 41 - (-91)\/(-14) and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one sixteenth of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**4 - 468*g**3 - 6780*g**2 - 8064*g + 47040 = 0.\nAnswer: -140, -14, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -26.4. Let u = -6.6 - x. Let j = 0.9 - 0.6. Which is the smallest value? (a) j (b) u (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 2 (c) 2\/895 (d) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 + -0.0707.\nAnswer: -0.1507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 10519.69 to the nearest 100.\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + l**2)*(2*l**2 - 5*l**2 + l**2) + 0*l**4 - 7*l**4 - 4*l**4 in the form o*l**2 + z*l**4 + p + d*l**3 + f*l and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 - 4.94. Let c = 20 + k. Let p = c + -15.000023. What is p rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 - 32*f + 8. Let y be z(10). Let t be -4*y\/2 + (-8)\/(-8). Suppose -4*s + 4*a + 0*a + 48 = 0, -5*s - 2*a = -t. Solve -3*c + s = 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 15411630?\nAnswer: 15411624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*t = -38142 + 38143, 647 = -73*n + 5*t for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 10:37 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m. Suppose -h + 53 = 3*o, 4*o - 2*o - 3*h - 39 = m. Calculate the greatest common factor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**0\/(h**(1\/6)\/h*h\/(((h*h**(-5)*h)\/h)\/h)))**38 assuming h is positive.\nAnswer: h**(-589\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooott. What is prob of picking 1 t and 2 o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15556 - -15561. Solve v*b + 28 = 2*s, 17*b + s - 24 = 22*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - (5 - (-3 - -7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 635413.1 micrograms to nanograms.\nAnswer: 635413100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d - 2. Let j(x) = x**3 - 15*x**2 + 15*x - 10. Let u be j(14). Let b be 3\/((-3)\/u) - 40\/20. Determine w(b).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 276 + -0.112\nAnswer: 275.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -11626*j + 2. Let h(k) = k**2. Give h(o(n)).\nAnswer: 135163876*n**2 - 46504*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9975, -39905, -89789, -159627, -249419, -359165?\n\"Answer: -9977*v**2 + v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2661, 10257, 22891, 40563, 63273?\nAnswer: 91021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -124, -218, -340, -496, -692, -934?\nAnswer: -1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(891)) - (sqrt(77)\/(sqrt(7) + sqrt(28)\/sqrt(4)) + -3))*-6.\nAnswer: -51*sqrt(11) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(110\/(-8))*(-9)\/18?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3, 0.17 in decreasing order.\nAnswer: 0.17, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - 2*sqrt(171)*-1) + (sqrt(171) + 1)*-1)**2*1.\nAnswer: -12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 24, 0 in decreasing order.\nAnswer: 24, 0, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqd when three letters picked without replacement from dqddqqqdddqdd?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - j = -4*j - 9, 17 = -t - 3*j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 57 = 4*b - 23, -4*b = -2*q + 4. Suppose 5*o + 15 = 2*u, o - 5*o - q = -u. Put u, 4, -3 in decreasing order.\nAnswer: 4, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 2*h = 7956. Suppose 5*n - 4*g - 9501 = 0, h = -5*n - g + 10118. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*c - 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5204641313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 488*r + 842*r + 356*r + 271*r - 190*r to l*r + w and give l.\nAnswer: 1767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/2 - (-1)\/2. Suppose -4*y = 2*y + 12. Let g = n + y. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 4*l - 10. Let k be (4\/(-12))\/(2\/l). Solve 3*s = -18 + 6, 3*c - 8 = k*s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d. Let k(f) = 4*f. Let w(o) = -6*o. Let v be 1*(12 - (-8)\/(-2)). Let a(b) = v*k(b) + 5*w(b). Determine a(y(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 55*r**4\/2 - 206*r**3\/3 - 233. Find the third derivative of g(p) wrt p.\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*o**3*w**3*z - 44*o**3*w*z + 429*o*w**2*z + 4*o*z + 2*w**3 + 3*w**2 + 1 wrt o?\nAnswer: 54*o*w**3*z - 264*o*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**2\/3 - 317*m\/3 - 210 = 0.\nAnswer: -315, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uagaq. What is prob of sequence qu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.055? (a) 3 (b) -3 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 32164562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from rsss?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 5 + 8*h**2 - 5. Let m be (-1)\/((-12)\/3 + 3). Let i(a) = 1. Let w(d) = d**2 + 1. Let p(f) = m*i(f) - w(f). Calculate t(p(u)).\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5\/9 - 80*v**4\/3 - 1778*v**3\/9.\nAnswer: 2*v**3*(v - 127)*(v + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(a*(a\/a**(1\/4))\/a)\/a*a*a))\/(a\/a**(3\/11)))**(-1\/42)\/(a**(-2\/23)*a\/a**7)**(20\/9) assuming a is positive.\nAnswer: a**(1732321\/127512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 8. Let i = -5.974 - s. Let c = 0.0337 - i. What is c rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 161969291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053118 < 2053118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 0, 0*j - 5*n - 34 = -2*j. Let c(o) = o**3 - 20*o**2 - 41*o + 19. Let u be c(22). What is the highest common divisor of j and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**2\/3 + 125*i\/3 - 110 = 0. Calculate i.\nAnswer: 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a. Let v be b(1). Let h(j) = -6*j - 8. Let g be h(-2). What is the highest common factor of g and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82460 by -70.\nAnswer: -1178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - (-1 + -26)) + 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 27*x**2 - 27*x + 68. List the prime factors of k(6).\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -817 and -2?\nAnswer: 1634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4952301 - -1.4949. Round q to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/20)\/((-21)\/(-14))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 16*o**2 + 6*o + 20. Let w be r(-4). Suppose 5*b - w = 248. What is the smallest common multiple of b and 12?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 819*p**2 - 2473*p - 20445. Give h(-816).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**5\/330 - 5*c**4\/66 + 3*c**3\/11 - 4*c**2 - c. What is b in k(b) = 0?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -269, -637, -1163, -1847?\nAnswer: -2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118.8 + -119.2. What is the nearest to -0.1 in -2\/7, m, -13, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/150, 1\/18, 0, -1?\nAnswer: -1\/150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-166)\/415)\/((-5)\/((-45)\/(-132))*6\/10)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -1, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-56) + 20\/(-14). Let d be -1*(1\/u - 1). Solve 3*o = 11 - d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524659594?\nAnswer: 2, 262329797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3971*m**4 + 2 - 16*m + 17*m + 3965*m**4 - 3*m**3 as c + u*m**2 + l*m**4 + x*m + p*m**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -160*h**3 - 70*h**2 - 70*h - 70. Let u(z) = 7*z**3 + 3*z**2 + 3*z + 3. What is 3*m(b) + 70*u(b)?\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25988?\nAnswer: 2, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(1\/(5*(-12)\/30)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49265 - -344853\/7. Let p = -17 + -1. What is the closest to p in 2\/7, 3\/4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Let h = 1 + r. Let g = -0.687409 - -0.187409. What is the third smallest value in h, g, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 665797?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmuu. What is prob of picking 2 u and 1 m?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/2 + 1161*s + 1347921\/2.\nAnswer: (s + 1161)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + -5. Let c = 36 + a. What is the least common multiple of c and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 123*p**2 - 1484*p + 105493. Give l(118).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:28 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -9 + 14*c - 282*c**2 - 16*c - 1. Let p be (-5 - 3)\/2 + -1. Let y be i(p). Round y to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1496 is divided by 137.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -262.0273 + 0.0273. Let w = c - -261.999883. What is w rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 0 - (115 + -115).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u + 14 = 0. Let i = u - -17. Calculate the remainder when 17 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 + 11*m\/4 - 9\/2.\nAnswer: -(m - 9)*(m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -3568\/5, 2\/41, -0.4?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 16\/((-144)\/(-63)). Let i(b) = 3*b**2 + 3*b + 4. Let q(v) = -v**2 - v - 2. Determine w*q(k) + 2*i(k).\nAnswer: k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2988 is divided by 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 18968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j. Let i(q) = -194253*q. Determine i(p(m)).\nAnswer: -194253*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 19*m = 15*f + 20*m + 102, -5*m = 340 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21437907, -42875808, -64313709, -85751610, -107189511, -128627412?\n\"Answer: -21437901*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 932, 2175, 3924, 6185, 8964?\nAnswer: 12267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(637) + 5) + 4 - (-5 + (sqrt(637) - (5 + sqrt(637)))*6))**2 + 1.\nAnswer: 3304*sqrt(13) + 13674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**4 + j**3 + j**2 + 1. Let u(n) = 7*n**4 - 4*n**3 - 12*n**2 + n - 4. Let g(t) = 4*q(t) + u(t). Find the third derivative of g(h) wrt h.\nAnswer: 264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110021 + -12?\nAnswer: 110003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 8*j**2 - 67988*j + 33992 = 0.\nAnswer: 1\/2, 8498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 + -95. Is h - (-1052)\/(-8)*-4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1, 0.6, 0.4, 29.197?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 608, -826, 0.3?\nAnswer: -826","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 2*r - 5. Suppose 0*n + 3*n - 4*t - 54 = 0, -2*t - 62 = -4*n. Let o = -3 - -5. Suppose 0 = v - o*q, -n = -v + 4*v + q. Calculate a(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 357\/(-14)*((-30256)\/183)\/124?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -364, -3872, -10540, -20380, -33404?\nAnswer: -49624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -27*b - 5. Let l(m) = 13*m + 3. Let s(f) = 5*l(f) + 2*z(f). Is s(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3*y - c - 35, -5*c = 0. Let q(l) = y + 3*l + 0 + 5 - 11. Give q(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -2100?\nAnswer: -2042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 0*m**2 - 2\/3*m**3 - 13 - 5*m + 1\/12*m**4. Let a(x) be the first derivative of q(x). Let a(p) = 0. Calculate p.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 2.57?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18 - (60\/5)\/2. Solve 4*x = -4 - t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.809769 seconds to weeks.\nAnswer: 0.0001600690625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02844958733 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4 - 15 - 601263*y + 151260*y. Let m be s(-9). Suppose -2*v + 341767 = -2*z - 2358241, -4*v = -3*z - m. Round z to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210951741 and 23181510?\nAnswer: 2109517410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440.078*-0.9.\nAnswer: 396.0702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6404537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(364)\/(sqrt(35)\/sqrt(5))*2)\/(-3*sqrt(100) + sqrt(24)\/sqrt(24)).\nAnswer: 8*sqrt(13)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (31 - 9) + 7.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -305366 + -12?\nAnswer: -305411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b - b - 6*b)*(-4*b**3 + b**3 + 0*b**3) + (-b + 4*b - 5*b)*(2*b**3 + 2*b**3 - 5*b**3) - 15*b**3 + 5*b**2 + b**4 - 5*b**2.\nAnswer: -3*b**4 - 15*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -12*i**2. Let t(b) = -8*b. Let k(v) = -v. Let w(d) = -5*k(d) + t(d). Determine r(w(y)).\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -6.3. Let l = -0.006 + 35.006. Let j = l + -33. Which is the third smallest value? (a) j (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2687, -5356, -8025, -10694, -13363, -16032?\nAnswer: -18701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = 13*s - 79*k + 83*k, -4*k = -5*s + 65 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587*r = 39905 - 7620 for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101339.\nAnswer: 7, 31, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 3 + 2)*(-2*k + 6*k + 5*k) to the form v*k + i and give v.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(7\/63) + -8 - (-16)\/(-13)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 1\/105*s**7 + 0*s**3 + 0*s + 0 - 180*s**2 + 0*s**4 - 1\/15*s**5 - 1\/60*s**6. Factor z(q).\nAnswer: 2*q**2*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 1)\/((-4)\/(-8)). Suppose 2*h = -0*h - 4. Put 0, o, h in descending order.\nAnswer: o, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 188, -0.1, -3, -11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**7\/42 + 13*t**6\/30 - 3*t**5 + 32*t**4\/3 - 64*t**3\/3 + 24*t**2 + t - 133. Factor a(s).\nAnswer: -(s - 6)*(s - 2)**3*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2 + 5*y + 10. Let z(v) = -3*v**2 - 4*v - 8. Let r(i) = -4*u(i) - 5*z(i). Let t(k) = 145*k**2. Determine t(r(p)).\nAnswer: 145*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from offffooffff.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4854059717.\nAnswer: 13, 373389209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17164116 and -4.\nAnswer: 68656464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1692 divided by 188.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(117) - (sqrt(13) + sqrt(13) + (sqrt(468)*-1)**2).\nAnswer: -468 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-134)\/5 + 5\/(-25). Find the common denominator of (z + -1)\/(3 + -2) and 37\/13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1656485 and -10.912.\nAnswer: -10.7463515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14441625 - -35?\nAnswer: -14441570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61949817.8 + -1357.\nAnswer: -61951174.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.65, 1, 2, 0 in increasing order.\nAnswer: 0, 0.65, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (0 - 6928\/(-228)). Let d = n - -96\/19. Let l = 100321\/22 - 4561. Calculate the common denominator of l and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 + u**2 - 1. Let f be h(1). Suppose w - v - f = -0*v, 4*v + 16 = 0. Is -22*w\/4*1 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*x + 5760 = 68*x. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6+35.9\nAnswer: 41.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 12:07 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 11) in base 7?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 8. Suppose -g - x*g = -2*c + 19, -c + 8 = -2*g. Let a = c - 8. Calculate the smallest common multiple of 7 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -373990 to the nearest one thousand.\nAnswer: -374000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -35*s + 36*s + 11098, s + 3 = 0. What is the remainder when k is divided by 2216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2433*p - 1213 = -1124*p - 1201*p + 3755 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**3 - 2. Let h be r(-1). Suppose -4*c = 5*x - 649, h*c - 166 = 2*c - 5*x. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0533 + 0.0546. What is y rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/7 + 507554*g\/7 - 507552\/7.\nAnswer: -2*(g - 253776)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (2 + 2 - 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*5\/20*-2. Let m be (102\/17)\/(-1 - u). Let w = 10.2 + -9.2. Which is the third biggest value? (a) w (b) -4 (c) m (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (530\/2650)\/((-1)\/15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15912 and 793832?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8.295 - -1\nAnswer: 9.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**2 - 7501611*w = 0. What is w?\nAnswer: -2500537, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/((-858)\/99)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 144 = y. Suppose 5*w + y = -6. Which is smaller: -28\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 3*k + 98 - 84, 5*k = -15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -11. Let y = 1.2 - n. Let p(i) = -i**3 + 4*i**2 - 2*i - 3. Let t be p(3). Which is the closest to t? (a) y (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 14. Let r = 5 + n. Suppose 2*z + 1 = -j + 60, -r*j + 4*z + 365 = 0. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3862222 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - (sqrt(1088)*-2 + -4 + sqrt(1088))**2) + -1.\nAnswer: -1105 - 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.23 - -0.07. Sort 0.4, d, 1 in descending order.\nAnswer: 1, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*a - 120, 0*v - 4*a = 2*v + 62. Calculate the remainder when (v\/6)\/(1\/(-12)) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197780523953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 9:06 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*r**3 - 4*f**3*r**2 - 16*f*r**2 + 145*r**3 wrt r.\nAnswer: 6*f**3 + 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 373\nAnswer: 39\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h + 3*r + 20, -2*r - 40 = -4*h. Calculate the remainder when h is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 4\/21, 127\/202 in decreasing order.\nAnswer: 1, 127\/202, 4\/21, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 33*r. Let n(q) = -318*q. Give g(n(v)).\nAnswer: -10494*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076516.\nAnswer: 2, 7, 38447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125549?\nAnswer: 223, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-1)\/(3\/15 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 2)*36\/(-72). Let l(p) = -5*p - 3. Let x(s) = -24*s - 16. Determine m*x(t) + 11*l(t).\nAnswer: -7*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2414659\/60 + 40247. Let o = -25\/12 + m. Let s be 0 - (-2)\/(-21)*6. What is the nearest to -0.05 in s, -1, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 25, 17, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(2299)*-3 - sqrt(2299) - sqrt(2299))*-5 + -5.\nAnswer: -55*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from {r: 4, u: 4, n: 11}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 3342*g**2 + 451 - 528.\nAnswer: -3342*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -1. Suppose w = -m*p + 2*p, -2*w - 5*p = -5. Solve -w*b = 0, -b + 11 = -4*z - 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/10 and -83\/1888.\nAnswer: 9440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 112 - 37 - 33 + 3*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 755 a factor of 2418184457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100122 (base 3) to base 9.\nAnswer: -318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 32 + 8. Solve -3*l - 6 = 0, 0*k - 15 = 5*k - s*l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/((-198)\/(-4)))\/2)\/(-1)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*t - 85*t - 16 = 2*a - 150*t, 2*t - 31 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -1\/7 (c) 2\/7 (d) 5\/8 (e) 0 (f) 5\/12 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**5\/4 - 5119*g**4 - 10239*g**3 - g**2\/2 + 40955*g\/4 + 10239\/2 = 0.\nAnswer: -1, 1, 20478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 42 - 12. Let i be (-9 + 13)\/(8\/w). Let f = 4 - 1. Solve -r = 2*l + 8, -f = -3*r + i*l - 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 266369251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -12. Solve 4*m = q + 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, -3, -413\/3, -2\/3?\nAnswer: -413\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-4))\/(3081\/1422).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6388 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (196*v - 168*v + 174*v)*(-5*v + 0*v + 3*v) - 2*v**2 + 10*v + 14*v - 28*v + 0*v**2 + 0*v**2 + 3*v**2 in the form b*v**2 + l + i*v and give b.\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7647169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35*n + 6 - 7 + 3 + (6 + 4*n - 6)*(-6 + 1 + 3))*(2*n**3 - 5*n**3 + 0*n**3)*(1 + 1 - 3) to y*n + c*n**3 + w*n**2 + t + a*n**4 and give a.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 461 + -5963\/13. Let f = -116\/39 + t. Which is the third smallest value? (a) 0.1 (b) f (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.422, 1\/8, 3, 0.116, 2\/17.\nAnswer: 0.116, 2\/17, 1\/8, 0.422, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1388072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 18\/7 of a week?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 359319485739?\nAnswer: 359319485754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 4*s - 3. Suppose -4*p + 4*v = -0*v + 56, 0 = -v + 5. Let l be x(p). Calculate the greatest common factor of l and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**2 - b - 5. Let a(l) = -28*l**2 - 11*l + 7. Let d(o) = -18*o**2 - 7*o + 4. Let x(z) = -5*a(z) + 8*d(z). Calculate 5*p(w) - 8*x(w).\nAnswer: 2*w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*p**4 - 32528*p**3 + 8274306*p**2 - 4131056*p + 516128.\nAnswer: 2*(p - 508)**2*(4*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyccyyyy. Give prob of sequence yyy.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4*k - 3*b = 32515 - 32527, -k = -5*k + b + 21 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121710592.\nAnswer: 2, 67, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (29 + -50 - -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2730.1 - 2730. Which is the nearest to v? (a) -20\/3 (b) -1\/8 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - 7 - (-2 - (-1 - (-6 - -8)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6168825 and 7163?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 134805 and 12255.\nAnswer: 134805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*18.7.\nAnswer: -5.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*h + 2 = -h, 3*w + 2*h = 2. Let u be 19*-12*4\/w. Let f = u - -775. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 450258295 to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2412*s + 374 + 2408*s - 374 - 2222*s**2 to w*s**2 + k + o*s and give w.\nAnswer: -2222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 1 = -3*s + 2*j, 5*j - 30 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12555.3 - 12555. What is the second smallest value in -0.54, j, 8\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -44, -0.4, 0.5, 1, -12, -32, -4\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 - 13*o**2 + 4*o**2 to the form j*o**2 + x + n*o and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/3)\/((-31)\/(-93)))\/(22\/33)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**6\/70 - 1257*t**5\/140 + 841*t**4\/28 - 421*t**3\/14 + 4519*t. Factor c(r).\nAnswer: -3*r*(r - 1)**2*(r + 421)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**5 - 1026*g**4 - 11961*g**3 - 26730*g**2 = 0. Calculate g.\nAnswer: -330, -9, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**14*g)\/(g**6*g))\/((g*g*g*g*((g\/(g*g**6*g))\/g)\/g*g*g)\/g**(2\/9)) assuming g is positive.\nAnswer: g**(-142\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -34 - 2. Suppose -3*o - 233 - 361 = 0. Let i = -138 - o. What is the highest common factor of c and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 18*l**2. Let j(x) be the second derivative of 19*x**3\/6 + 3*x - 11. Give q(j(t)).\nAnswer: 6498*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1227 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -12 (c) 17 (d) -9 (e) -2\/13 (f) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*n - 14 = 49*n - 5*c, -4*n + 10 = c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18780?\nAnswer: 2, 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 2. Let r = u - -12.1. Round r to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 3*q**2 - 3*q - 4. Let y be w(-3). Factor 2*k**2 - 4*k**4 + 97*k**y - 96*k**5 - k + 2*k**4.\nAnswer: k*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + sqrt(208)*2 + 3 + -2))**2*5.\nAnswer: 14400*sqrt(13) + 154260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: 3666\/1269*12\/(-182)*14\/4\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + (1 + sqrt(833))*-1 + (2*sqrt(833) + sqrt(833) + 0 - (sqrt(833) + -2)*5))**2.\nAnswer: -22566 + 630*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -4268900.7 and -5.\nAnswer: -4268905.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33 + -3305?\nAnswer: -3338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.001, -8182.2, -6 in decreasing order.\nAnswer: 0.001, -6, -8182.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from {t: 2, g: 4, h: 2, i: 1, d: 5, o: 1}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.6, -2, 2\/19, 3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96014, -768092, -2592302, -6144710, -12001382, -20738384?\nAnswer: -32931782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*((-11)\/(-60) + 13\/(-52)). What is the nearest to 2\/29 in 1, 2\/7, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(117) + 0 + ((sqrt(117) + 0)**2*-1 - sqrt(117)) - (-4 + -1 + sqrt(117) + sqrt(117) + 0)) + 3.\nAnswer: -333 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -36*g + 20*g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {u: 3, k: 4, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*g = 468, -2*g + 575 = -5*w + g. Let u be 2\/6 + w\/(-24). Let n be 92\/20 + 2\/u. Solve -m - 3 = -n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 1655*v - 74. Let d(a) = 827*a - 37. Let h(o) = -5*d(o) + 3*t(o). Is h(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011100010 - 101000010?\nAnswer: 1001110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/7, -0.1, 80, 2, 1\/5 in increasing order.\nAnswer: -5\/7, -0.1, 1\/5, 2, 80","meta":{"dup_signals":{},"source":"comparison__sort_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: Let h = -21 - -19. Let l be 1*h\/(-6)*24\/4. Suppose g - 8*x + 3*x - 25 = 0, -19 = -g + l*x. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (29\/(-3))\/((-51580)\/5730 - -9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26604564 divided by 2217047\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7*m**3 + m**2 + 3*m - 5. Let l be s(2). Let j = -14 - l. What is the remainder when j is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 3427600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 5*q + 44 - 5, -4*j + 57 = 3*q. What is the greatest common divisor of j and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4200847?\nAnswer: 7, 571, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181 (base 15) in base 10?\nAnswer: 7096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(12\/4*3)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**2 + 48*c + 7. Let k be u(-8). Let q be 0\/1 + 73 - 1. Suppose 5*x - k*x = -q. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 629, 1233, 1833, 2429, 3021?\n\"Answer: -2*x**2 + 610*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyywyywyyyywwyyyyy. What is prob of sequence ywyw?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 33. Let l = 35 + p. Let r = 15.2 - l. Which is the third smallest value? (a) r (b) -3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 366*i - 41. What is the hundreds digit of l(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189571 is divided by 51?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70532, 141095, 211688, 282311?\nAnswer: 352964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 818 - 822. What is the nearest to 2\/3 in a, 0.2, -1\/4, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w**4\/4 + 121*w**3\/4 - 31*w**2 - 145*w + 144 = 0. What is w?\nAnswer: -18, -16\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 7:03 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10*1)\/((-4)\/2). Sort i, 0.3, 2\/13 in descending order.\nAnswer: i, 0.3, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/(-30) - 2\/5. Let k = 0.697 - 0.997. What is the closest to 0.2 in -0.5, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r - 67. Let l be i(10). Let v(q) be the first derivative of 25 + 0*q**l + 0*q**2 - 6*q + 0*q**4 + 22\/5*q**5. Differentiate v(a) wrt a.\nAnswer: 88*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r - 48*r + 37319 + 6767 = 0. Calculate the remainder when r is divided by 210.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1710812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 6*d**2 - 4*d - 3. Let f = -5 - -10. Let i be r(f). Suppose -5*u - 5*j - 2 = -12, -26 = -5*u + 3*j. Solve -6 = u*y + i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 9*d**2 + 1846*d**3 + 2*d - 1846*d**3 + d**4 to f*d**3 + q*d**2 + u*d**4 + z*d + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22236626*y**6 - 10757765*y**2 wrt y.\nAnswer: -2668395120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 1 + -3 + -1. Suppose -w + f*w + 64 = 0. Does 8 divide (-2)\/(-3) + w\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**3 - 7*u**2 + 50*u**3 + 2*u**2 - 42*u**3.\nAnswer: -2*u**3 - 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 4*p + 4 = -20*o, 5*p = 5*o - 65. Let r(b) = b**3 + 9*b**2 + 2*b + 4. Let g be r(-7). Calculate the greatest common factor of g and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52858*u + 52858*u + 1486*u**2.\nAnswer: 1486*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z + 12*z + 175951 + 5*z + 11*z.\nAnswer: 2*z + 175951","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.74 + 0.55.\nAnswer: -1.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4, 60, 1\/981.\nAnswer: -4, -0.4, 1\/981, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -31*y - 2. Let k be b(-1). Suppose f - k + 114 = 2*r, -3*f = 4*r - 165. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w. Let z(o) = -6*o**2 + 14*o - 14. Let q(y) = 2*y**2 - 5*y + 5. Let u(d) = -14*q(d) - 5*z(d). Calculate g(u(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -27. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 923 = 2*n. Is n a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 11:36 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153 and 901.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 3:47 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6085 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 81, 21, 1, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 3*y = 2*d + 15, 3*d - 2*y - 10 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, w: 9}. Give prob of sequence wwsw.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 465 or 8058?\nAnswer: 8058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 5*u**2 + u - 5. Let m be g(5). Suppose m = -3*l + 15 + 21. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -2\/3*f**3 + 0*f - 1\/2*f**2 - 1\/4*f**4 + 3. Let u be w(-1). Solve u = -3*c + 4 + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106 - -107. Let p = 3 - -7. Calculate the lowest common multiple of p and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 69081, 69363, 70145, 71679, 74217, 78011, 83313?\n\"Answer: 42*t**3 - 2*t**2 - 6*t + 69047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-63)\/(-7) - 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33638, -33646, -33654, -33662, -33670, -33678?\nAnswer: -33686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 7*s - 4*f + 28, s - 3*f = 19. Suppose s - 3 = q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/49 and 35\/3.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = 3*y + 4*n - 101, 5*y + 12*n + 81 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -94, 212, 732, 1472, 2438, 3636?\n\"Answer: h**3 + 101*h**2 - 4*h - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w = 15. Solve -w*a + 6 + 3 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u. Let w(n) = -n**2 + 4*n + 2. Let c(o) = 4*d(o) + w(o). Let j(y) = y**2 + 2*y - 3. Let m be 128\/(-40) + 2\/10. Let k be j(m). What is c(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 3866*w - 1800106. Give b(-420).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0117452 rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37\/2030 - -11\/58. Let a = s + -88\/105. Let h = -2.98 + -0.02. Is a less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -1636812*w**4\/5 - 3819192*w**3\/5 - 1136591*w**2\/5 - 90909*w\/5 + 2\/5 = 0.\nAnswer: -2, -1\/6, 1\/45467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 608 and -193783.\nAnswer: -193175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 17\/10*x**5 + 0*x**3 + 0 + 0*x + 176*x**2 + 71\/12*x**4. What is the second derivative of z(g) wrt g?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 3*n**2 - 6*n - 4. Suppose -176 = 2*m - 186. Give l(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 3*t - 2. Suppose 10 = -2*a + 6. Determine g(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5320916513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/5)\/m)**(4\/17)*m**14*m\/(m*m**(-2\/25)\/m))**(-16) assuming m is positive.\nAnswer: m**(-101904\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a - 12 + 108. Let g = 17 - a. What is the derivative of 23*n**3 - 2 - 8*n**3 + g + 3 wrt n?\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/10*(-980)\/6. Suppose b = 5*b - q. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301021 (base 4) in base 6?\nAnswer: 53305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96 + 160. Suppose -174 = 4*x - 3*v - 26, -2*x = -4*v + r. Let u = -28 - x. Calculate the highest common divisor of 120 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 956428411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 606220 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3978901\/9413691 + (1\/1)\/(7\/(-3))\nAnswer: -2\/339","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -609*m**2 + 2*m + 9. Let w be a(-4). Let h be ((-58)\/140)\/(-1 + w\/(-10145)). Let k = h + -18\/469. What is the common denominator of k and 53\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -796 = -26*z - 26*z + 36. Let r(n) = -16*n**2 - 16. Suppose 4*k + 5 = -k. Let y(c) = -1. Let h(g) = k*r(g) + z*y(g). Let s(w) = 2*w. What is s(h(j))?\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l + 68 = 0. Let q be (-416)\/(-39) + 1\/3. Let p = q + l. Is -7 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -339 - -1371. What is the remainder when k is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -824961*a**3 - 844091*a**3 - 249020*a**3 + 310305*a**3.\nAnswer: -1607767*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 707*g**5 + 222*g?\nAnswer: 14140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 11:08 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-122 - 113 + 3*q + 217)*(1 - 3 + 4) to the form k*q + f and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - (3 + (3 - 5)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*x + 93*x + 176*x + 1 to the form h + o*x and give o.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 3:58 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 4581087\/4 and 1145273 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -163*g**2 - 3*g**4 - 6*g - 2 - 466*g**2 - 42*g**3 + 631*g**2 to q*g**4 + m*g + s + t*g**3 + v*g**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -28. Suppose -4*k = 2*q + 14, -2*q - 11 = 5*k + 3. Let a = c - q. Solve -5*x + m = -4*m + 15, -a*m + 4 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -16 (c) -6\/11 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b7 + -19?\nAnswer: 9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r - 6 + 4 + 19 + 5. List the prime factors of n(-9).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 977 + -5?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.9, 1, -3, 8, -0.021?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 85718?\nAnswer: -85718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -456 - -464. What is the remainder when 40 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 4\/63 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 12*q - 34452. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**6\/120 - y**5\/10 - y**4\/3 - y**3 - y**2 + 9. Calculate the remainder when n(10) is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4) + 1\/2 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -12*g**3 + 14*g**2 - 15*g**2 + 14*g + 3*g**3 + 2*g**2. Let c(q) = 80*q**3 - 10*q**2 - 125*q. Let s(x) = 4*c(x) + 35*p(x). Factor s(r).\nAnswer: 5*r*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 327 + -321. Calculate the highest common divisor of v and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 140, 285, 426, 563, 696, 825?\n\"Answer: -2*h**2 + 151*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 399*m**4 - 390 with respect to m.\nAnswer: 1596*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2*(sqrt(1700)*-5 + -1 - (sqrt(1700) + sqrt(1700) + 1 + sqrt(1700) + -3)) + -3)*-2)**2.\nAnswer: -6400*sqrt(17) + 1740902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573 - 145 + 217*g - 150*g - 1338*g.\nAnswer: -1271*g + 428","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 10) to base 15\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 11*f = 0. Suppose 2*p - 3 + 3 = f. Suppose p = -5*w - 174 + 584. What are the prime factors of w?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22549990?\nAnswer: 2, 5, 17, 132647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 4:47 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6 - 1 - 2*t + t. Let j(x) = x**2 + 8*x - 7. Let g be j(-8). Let q be p(g). Solve -q = -z - 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1470)*1 - (sqrt(750) - (3*sqrt(750) + sqrt(750))))\/(1*(-2*sqrt(216) + (sqrt(96) - -1*sqrt(96)))))**2.\nAnswer: 605\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 854 and 888146?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/548016 and -1\/2240.\nAnswer: 10960320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, 7, -3, -5, 1, 22\/447?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -1625?\nAnswer: -1621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*j + 10 - 2*j - 9.\nAnswer: -49*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 12:27 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - m = -6*m + 90, -5*m - 8573 = -6*f - 8638 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3516 (base 15) to base 8.\nAnswer: -26007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.49 + 3.641. Let d = 24450931 + -24450930.84899921. Let g = h - d. What is g rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(1\/2 + -3). Let s be -5*1*4\/d. What is the units digit of (5 + s + 2)*7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*w - 1072*w = 3095 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h - h**2)*(1 + 2*h - 1)*(-3 + 4 - 6).\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*b + 816*b - 21680 = -1636*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a factor of 3452724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(640)*-1 - sqrt(640))*3*1)\/((4*sqrt(128))\/(sqrt(324)*2)))**2.\nAnswer: 14577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3 + 264*c - 293*c.\nAnswer: -29*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061853319 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - k = -6, 3*u + 4*k - 12 = -u. Let l be u\/6 - 6\/(-4). Suppose o = l*o - 12. 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: Add together -5220419261245 and 0.007.\nAnswer: -5220419261244.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 163*z**3 + 71*z**4 - 322*z**3 + 159*z**3 + (-3*z**2 + 6*z**2 - 2*z**2)*(3*z**2 - 3*z**2 - 2*z**2).\nAnswer: 69*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/19))**15)**(1\/16) assuming n is positive.\nAnswer: n**(15\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -192577030.88999809 - -192577033. Let t = o - 2.11. Round t to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 1:32 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i**2 - 16*i + 27. Let r(s) = -5*s**2 - 16*s + 27. Let q(l) = 6*g(l) - 7*r(l). Let y be q(14). Sort 15, y, -4.\nAnswer: -4, y, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**3\/3 + 8*t**2 - 65*t + 1205. Determine i(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4442753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.9713 and -0.13.\nAnswer: 0.906269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Let p(m) = -2*m - 8 + 3*m + m**r - 5*m. List the prime factors of p(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**2 - 63*z - 635. Let i be t(-7). Suppose 0 - 10\/7*q**5 + 0*q - i*q**4 - 4\/7*q**3 + 0*q**2 = 0. Calculate q.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-3))\/(12\/(-54)). Suppose -v*z + 0 = -6. Let s = -27\/44 - -4\/11. Which is the third biggest value? (a) 1 (b) z (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -77*a**3 + 3*a**2 - 12*a - 5. Let y(o) = -o**3 - o - 1. Let v(n) = -m(n) + 6*y(n). Let w be v(2). Let z = w - 278. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 509*c**4 + c**3\/3 + 133*c**2\/2 + 2528. Find the third derivative of z(i) wrt i.\nAnswer: 12216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 721\/1498 + (-3)\/6. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1408 = -2075*m + 2107*m for m.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + 12. Suppose 0 = -3*a - 2*h - 235, a + 26 + u = 4*h. Find the common denominator of (a\/(-36))\/(-5) + -1 and -95\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 20 = 2*j. Solve s - 4*l = l - j, 2*s + 2*l - 4 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*t = 6, 2*s = -2*s - t + 3. Let o be 2 - (5 - (-3)\/s). Let g be ((-4)\/o)\/(10\/(-15)). Let m(b) = 5*b - 1. What is m(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g*g*g**(-4)*g*g))\/(g**11*g))**(-31) assuming g is positive.\nAnswer: g**341","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -159199, 5, 1, -3 in decreasing order.\nAnswer: 5, 1, -3, -159199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2\/8 - 3621*q\/8 + 1811\/4 = 0.\nAnswer: -3622, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 5188?\nAnswer: 5186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*q - 1)*(95*q + 70*q - 25*q) + 0*q + 3*q**2 + 0*q to the form s*q + f + n*q**2 and give n.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7423 + -7422.912. Which is smaller: 29 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/25)*p**6)\/(p**(8\/3)\/p**(-2\/11)) assuming p is positive.\nAnswer: p**(2468\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 4.6. Which is the nearest to 1\/3? (a) z (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.631095 rounded to three decimal places?\nAnswer: -0.631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16220 + -16216. Let q(h) = -h**3 + 3*h**2 - 3*h + 1. Let f be q(3). Let s = 22 + f. Solve v = o*l + 17, l + 7*v = 4*v - s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -246*n**4 - 8120*n**3 - 62796*n**2 + 70584*n + 578 = 0.\nAnswer: -17, -1\/123, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 0*i**5 - i + 1\/2*i**2 + 0 + 1\/6*i**3 - 1\/16*i**4 + 1\/240*i**6. Let t(m) be the first derivative of c(m). Factor t(f).\nAnswer: (f - 1)**2*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11419*x + 103*x**2 - x**3 - 11419*x)*(591 - 591 + 19*x + x + 3*x - 2*x + (1 - 4 + 2)*(-2*x + 2*x - 2*x)).\nAnswer: -23*x**4 + 2369*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 9*s**2 + 4*s + 7. What is the tens digit of z(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70 - 79) + 17 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q - 6. Let k(a) = a - 1. Suppose -41*j + 33*j = 2224. Let p = j + 300. Determine p*k(v) - 4*z(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 4 - 1\/6*p**4 - 1\/5*p**5 + 2\/9*p**3 - 1\/18*p**6 + 1\/3*p + 1\/2*p**2. Find q such that a(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 0 + (-12 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 438 = 7*p - m, 3*p + m = 657. Let y(n) = -1 - p*n - 3 - 2 + 218*n + 1. What is y(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13 + 7*l + 7*l + 3 - 11*l. Let p = -46 - -41. Let o be u(p). Is o != -3\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000042338204 rounded to 7 dps?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005242157 rounded to six dps?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 10 = 5*s - 5*j, -2*j = 2*s. Let g = 5 + -2. Let m be (-5)\/g + (4 - 1). Which is greater: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2068166 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 6) in base 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272 and 18872432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 11*m**2 + m + 9. Calculate v(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) 40 (b) -1\/6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 + 0.13. Let z = 28.85 - 29. Let v = d + z. Which is the second biggest value? (a) 4 (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-128271144)\/(-36)*(-3)\/11. Let w = -972400 - u. Let l = w + 651. What is the common denominator of 11\/7 and l?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 44155780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/20944 and 115\/312256.\nAnswer: 3434816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144320076 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: Rearrange 5*c + 237594*c**3 - 237597*c**3 + c**2 - 24*c**2 to the form a + b*c + l*c**3 + w*c**2 and give w.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - -15. Suppose -5*g + 62 = -x. Let b = 34 - g. What is the remainder when 45 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-4)\/6)\/1)\/((-11)\/99). Let g be 4\/(-6)*(-3 - 0). Let d(p) = -2*p + h*p + g*p - 5*p. Let r(y) = -3*y**2. Determine d(r(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/30)\/(-1))\/((24360\/(-175))\/(-58)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -137 bigger than -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 14. Let v(s) = 63*s**2 - 28*s - 280. Let d(i) = -3*n(i) - v(i). What is the first derivative of d(x) wrt x?\nAnswer: -126*x + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*4*(sqrt(128)*1 - sqrt(128)) - (-2*sqrt(128) + 1 - sqrt(128) - (-4 + sqrt(128) + -1))))**2.\nAnswer: -9600*sqrt(2) + 52100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4359\/226 + -24\/113. Calculate the common denominator of z and -37\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 3:51 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -18032.7\nAnswer: 18032.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254334207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 9. Let n be o(-6). Suppose -n*f - 3*f = -48. Suppose f = -6*c + 26. Solve c*b - 4*k + 7 = 0, -3*b - 25 + 4 = 3*k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -408 - -407.9. Let v(o) = -o**2 + 6*o + 3. Let l be v(6). Suppose 0*m - 5 = m + 2*r, -6 = l*r. What is the closest to -1\/4 in m, -1\/4, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*z - 222 = 24*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/310 and -41\/47678.\nAnswer: 238390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 7*t - 5. Give j(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3002 times -1277\nAnswer: -3833554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o + 6. Let k be p(5). Suppose t = -c + 11, -4*c - 2*t + k = 23. Suppose c + 1 = 3*b. Solve -3*j + 6 = 3*v, 0 = -b*v + 5*j + 4 - 22 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1 - 3 - 4*v**3 + 7*v**3 + 6*v. Let h be t(6). Round h to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2)\/((-1)\/10). Suppose 3*f - t*f = 0. Suppose f = 2*x - 7*x + 5. Solve v = -3*q - 13, v + x = 2*q - q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = -2*t + 2*v, -5 = -t - 2*v. Let b(x) = -5*x**2 + 26*x**2 - 20*x**2 - 2*x - 1. What is the least common multiple of b(t) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 4:37 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.149 - -0.149. Put -0.2, 0.02, c in decreasing order.\nAnswer: 0.02, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*y**4 + 15 + 9*y**3 - 26*y**4 - 18 - 2*y**2 + (-1 + 3*y + 1)*(-y**3 + 2*y**3 + 0*y**3).\nAnswer: y**4 + 9*y**3 - 2*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200210 (base 3) to base 6.\nAnswer: -2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 40900*r + 1347522.\nAnswer: 2*(r + 33)*(r + 20417)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 c, and 1 b when three letters picked without replacement from {w: 6, c: 3, v: 1, q: 1, h: 1, b: 4}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27131 - -41262. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7574.122 centuries in years?\nAnswer: 757412.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 39 = 9. Suppose -17*y = -c*y - 12. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2790000 rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, 2, -2, -18, -52, -110?\n\"Answer: -r**3 + 3*r**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10506712 to the nearest integer?\nAnswer: 3241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 22 = -38. Let r be (-8)\/i*6\/4. Suppose -3 = -n + y, 5*n - 22 = -y - r. Solve n*b - 2*a + 6 = 0, 2*b + 0*a - 4*a = -12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3210 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3081*d + 28955. Determine w(9).\nAnswer: 1226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 866 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 j(t) = t**2 - 4*t + 4. Let g be j(5). Suppose -3*i - 2484 = -g*i. Suppose 3*v - 51 = i. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.3 (b) -1\/7 (c) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-33))\/(q\/((q*q\/(q*q*q*q**32*q*q*q))\/q)) assuming q is positive.\nAnswer: q**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/2055470 and -75\/8.\nAnswer: 8221880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302163547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i + 20 = 0, 2*v = 2*i + 68. What is the remainder when v is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-470)\/(-30) - 4\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(80) + sqrt(80) + -3)**2 + -1.\nAnswer: -357 - 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6\/((p**(-1)*p)\/p))**(-2\/97) assuming p is positive.\nAnswer: p**(-14\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441*c**3 - 245*c**3 + 636*c**3 + 380*c**3.\nAnswer: 1212*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457956 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, -1, -103, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1346725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 53089774*j + 53089776.\nAnswer: -2*(j - 26544888)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (3 - 10) + (-2 - -18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*s - 8, s + 20 = -3*s. Suppose t + 0*t - b = 2*q, t = 5*q + 21. Solve -5*i + i = t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612) + 1)*3 - -1*sqrt(612)*-4)**2 + 4 + 3)*3*-2.\nAnswer: -3768 + 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 8:02 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 90258 times -253.6\nAnswer: -22889428.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 - 95 = 2*j, -x - 3*j = -95. Let a(n) = -n - 6. Let g be a(-9). Calculate the common denominator of -93\/4 and ((-6)\/12)\/(g\/x).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 0.069.\nAnswer: -0.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (118*w - 64*w + 105*w)*(w**2 - 1 + 1) - 10*w**3 + 13*w**3 - 4*w**3 - 26*w**2 to d*w + n + q*w**2 + k*w**3 and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w + 2. Let u(m) = -6*m - 6. Let n(y) = -5*u(y) - 16*v(y). Let x be n(-2). Let r(h) = -x*h + h + 0*h. Let b(s) = s**2. Calculate r(b(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*sqrt(75) + 2*sqrt(108))*3*-4 + -1.\nAnswer: -444*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*l - 14 = -96*l - 2*t, -t = 2*l + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1496184 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/40 - -17\/840. Which is the closest to 0.1? (a) s (b) 0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 563 - 558. Let o = -15 - -10. Which is the third smallest value? (a) w (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 2*i + 1. Let x be b(-3). Let t be (x - 1) + (1\/(-1) - 0). Solve 3*h = -t*h - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 794173085 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2*20.76\nAnswer: 41.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -97*o**6\/10 - 67*o**4\/3 + 281*o. Find the third derivative of l(y) wrt y.\nAnswer: -6984*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**3 + 139*u**2 + 32670*u - 5215. What is m(130)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4649 is divided by 464?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + (-2 - (-68)\/14) + 110594\/154 is divided by 147?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 24 = -u. Suppose -2 = -4*v + u. Solve -10 = -5*o - 5*t, -o - 4*t = -v*t - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -0.48 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 3*p - 8 - 5, -7 = 2*g + p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 164*t**3 + 199*t**2 - 24*t + 7. Let l(f) = 109*f**3 + 142*f**2 - 16*f + 5. Determine 7*l(u) - 5*v(u).\nAnswer: -57*u**3 - u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -272298956*y**4 - 5301003*y**2 + 9*y wrt y.\nAnswer: -6535174944*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 77 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(17) + sqrt(17))**2 + -5 + -1*sqrt(17) + -4 - (sqrt(17) + -2 + 0 + 4*sqrt(17)*-1).\nAnswer: -6*sqrt(17) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 8:38 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, 2314, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -5493047691.\nAnswer: -5493047690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + q**3 + 2 + 4*q - 7*q - 11*q as h*q**3 + v + f*q**2 + d*q and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**2 - p + 3. Let q(g) = g**2 + g. Let h(z) = -5*q(z) + r(z). Let s be 4 - (1\/1 + -3). What is the units digit of h(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(171) - 2*sqrt(171)) + 3*(sqrt(171)*5 + sqrt(171)))\/(-1*(-2*sqrt(81) + (sqrt(90)\/sqrt(5))\/sqrt(2))).\nAnswer: 24*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/4*(-264)\/198. Sort -7, x, -5, -6 in ascending order.\nAnswer: -7, -6, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 18. Let y = 1 + 2. Suppose -y*t = -4*u + 49 + 19, i*u = -5*t + 50. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 14\/9 (c) 68 (d) -2\/57 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.075 in -2, 0.3, 2\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 8. Let y = -5 + 2. Let n = -3.4 - y. Which is the nearest to 0.1? (a) -0.2 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 372357019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -403 + -21?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + y - 10. Calculate the remainder when f(6) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827328516 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19e (base 16) in base 8?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18268 is divided by 126.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 116*d**3 - d**2 + 2*d - 7. Suppose -4*y + o = -11, y + 3*o + 7 = -0*o. Is r(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 486*t - 60744. What is h(125)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (-2*sqrt(468))**2) + (sqrt(117) + 1*sqrt(117))\/sqrt(9))*5 + (sqrt(65)\/sqrt(5)*5 - (-3 + (sqrt(78)\/sqrt(6))**2)).\nAnswer: -9370 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -36*i**5 - 19396*i**4 - 148292*i**3 + 208548*i**2 + 1337544*i - 305856 = 0.\nAnswer: -531, -8, -3, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6451 - 526?\nAnswer: 5824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g*l**4 + 2778*g*l**3 - 2066055*g*l**2 + 2*g + 2*l**4 - 41*l**3 + l**2 - 3 wrt l?\nAnswer: -24*g*l + 16668*g + 48*l - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 424 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -65.27?\nAnswer: 32.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 54108?\nAnswer: 270540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2775 less than or equal to 2778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -807*d + 795*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6460 - 2903 - 3440 = -217*k for k.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 2*o**3 + 3*o + (3 - o - 3)*(3*o**2 - o**2 - o**2))*(3 - 3 - o)*(26*o + 62 - 62).\nAnswer: 78*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7608109 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most 62\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*q - 320 = -8*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (0 + sqrt(2)))**2*6 - (1 + sqrt(2) + -1)**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641 is divided by 266?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -231 - 120?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -60, -98, -140, -186?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -189*40\/(-360)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -3*x + 11, -6*x + 4*x + 16 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*w = 11, -3*k + w - 17 = -29. Suppose -2*q + 4085 = -k*c, -2048 = -12*q + 11*q - 3*c. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 2 + (1 - -1 - (53 - 43))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14721094?\nAnswer: 2, 31, 283, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -11060 and -11061 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmt when four letters picked without replacement from tmtttttmttmt.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/25, -0.3, 2, -224, 80?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 37*t = 38, -t = 4*d - 31 + 36 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2 - 2*l - 1. Let y be i(-1). Suppose -3 = -2*m + y. Suppose 25 = 9*w - m*w. Solve 3*g = w + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2777921547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -322211?\nAnswer: 322203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 109767396 and 54883698.\nAnswer: 109767396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5255 times -0.4\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 3*k**2 + k**2)*(-16*k + 16*k - 14*k**3).\nAnswer: -14*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*z**2 + 36*z**5 + 32*z**2 + 1 + 7*z**5 - 3 wrt z?\nAnswer: 2580*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 1)*(41*k**2 - 689*k**4 - 30*k**2 - 11*k**2).\nAnswer: 2756*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 103 + 148*v - 59*v + 120*v wrt v.\nAnswer: 209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*a - 211 = -1546, 2*z - 876 = -2*a. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4.9, 5, 18, -5.5 in decreasing order.\nAnswer: 18, 5, 4.9, -5, -5.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/49 + (-1)\/(-7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.049 and 35?\nAnswer: -106.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204048663?\nAnswer: 3, 7, 13, 23, 32497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.763341 to 1 decimal place.\nAnswer: -106.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -66 + 4\/8*-4. Let g = -66 - h. Solve g*n + 0 = -8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 9. Suppose -12*a + 17*a - 750 = 0. Suppose 14 - a = -4*k. Calculate the remainder when k is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 33 - (-29 + -16).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-20)*8\/14. Suppose 4*y + 97 = 17. Let w = 61\/3 + y. Which is the nearest to w? (a) u (b) 0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, m: 2, q: 1, u: 2, r: 1}. What is prob of sequence jj?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -3*v**4\/8 + 103*v**3\/6 + 60*v**2 - 12*v - 30. Factor f(b).\nAnswer: -(b - 24)*(9*b + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -149, -180, -251, -380, -585?\n\"Answer: -3*j**3 - 2*j**2 - 4*j - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4831.05 + -4831. What is the nearest to 0.1 in q, 2\/9, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1666 - 575. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -3\/2*h**2 - 105 - 6*h. Let s = 4 - 9. Give j(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -909*l**2 - 923*l**2 - 1726*l**3 + 1832*l**2 + 1734*l**3.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.000936 + 7. Round h to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 7:22 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 23*f + 2*o - 10708 = 0, -26779 = -5*f + 4*o. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.1 + -1.9. Which is the closest to -0.3? (a) m (b) -0.1 (c) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*p - 7. Let b = 31 + p. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 p when four letters picked without replacement from {p: 5, m: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h - 34. Let z be c(18). Put -1, -2, z, 5 in descending order.\nAnswer: 5, z, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110101111000001 (base 2) in base 7?\nAnswer: -535330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 9:06 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 5*x - 44. Suppose 0 = -6*g + 3*g + x. Let z(v) = 2*v**2 - 6*v - 9. Is z(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*4\/5*(-1)\/4. Let x(h) = 5*h**2 + 2*h - 2. Let a be x(l). Suppose 10*g - 1635 = -a*g. List the prime factors of g.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + -3 + (6 - -1) - -9?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26179285307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -129.3698 - -1.0148. What is w rounded to 0 dps?\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, -1\/36, -2 in increasing order.\nAnswer: -2, -0.2, -1\/36, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c**3 + 10*c**2 - 8 + 9*c - 5*c**3 + c**3 - 3*c**3. Let z = -12 - -4. What are the prime factors of u(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/14)\/(0 - 1). Suppose 8*w + 29 = 5. Let y be (-10)\/(-3)*12\/20. What is the nearest to 2\/7 in w, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 103512 and 9471348?\nAnswer: 18942696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 23 = -4*h, -5*h + 5*z + 6 - 21 = 0. Suppose -5*b + 5 = -5*m, h*b + 2*m - 7 = -m. Solve -2*g + 3*u + 5 = 0, 0*g + b*u = -3*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81792784*-1\nAnswer: 81792784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 10 + 9)*(-3 + 3 - y) + 4*y + 0*y - 48*y as w*y + i and give w.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -133179.8615 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1783863 is divided by 1811?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lstllyuutsnt. What is prob of sequence uyu?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 4 (c) 0.1 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.59 - 0.41. Let t(n) = n**2 - 1202*n - 6030. Let r be t(-5). What is the closest to 1 in r, 2, 3\/5, m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07249081 to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4909, -9654, -14399, -19144, -23889, -28634?\n\"Answer: -4745*t - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 s, and 1 u when four letters picked without replacement from nsnsnnnsupssrsursp?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 24*g + 25*g = 2168, -4*c + 8672 = -3*g. What are the prime factors of c?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15582, 31149, 46716, 62283, 77850, 93417?\n\"Answer: 15567*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**3\/3 - 3729*q**2 + 406416*q - 2304180 = 0.\nAnswer: -11295, 6, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express h - 3 - 2*h + 2*h + 1127*h**2 + 3 + 2*h**3 in the form o*h**3 + i*h + c + n*h**2 and give n.\nAnswer: 1127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 16 - 6*p)*(907 + 167 - 211 + 1 + 2 - 1 + (2 + 3 - 6)*(-3 + 1 + 1)) in the form m*p + j and give m.\nAnswer: -5196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -3250 and -730 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 t when four letters picked without replacement from {d: 6, j: 2, l: 2, t: 3}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -10*q + 40. Sort q, -2, -55 in decreasing order.\nAnswer: q, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -174366 by 6.\nAnswer: -29061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/(-156))\/8*-3.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14668 and 36670?\nAnswer: 73340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/9*d**3 - 146\/9*d - 145\/9*d**2.\nAnswer: d*(d - 146)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.3 (c) 13 (d) -0.006\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 14*i + 15. Let t be u(13). Suppose 0 = -7*h + t*h + 140. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Let g(p) = -p**3 + 7*p**2 + 4*p - 8. Let o be 8 - 0 - (-1 - -2). Let k be g(o). Solve -2*z + 6*z + k = v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21192)\/(-20) - 4\/(-10). Let s be (-1)\/2 + q\/8. What is the greatest common factor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 4*u**2 - 2. Let d be r(-2). Suppose d*w + 30 = 162. Let x(o) = -o + 2. What is the remainder when w is divided by x(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 8. Let z be n(3). Let m(t) = -6 - 3 + 10 - z*t + t**2. Give m(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/595 or 4.4519?\nAnswer: -3\/595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -14*j. Let r(t) = 11*t**2. Give r(u(i)).\nAnswer: 2156*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106.94 - -108. Let k = -0.06 + q. Are k and 3\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 162 or 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from ffsfffvof.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-1) + 3 - 4. Suppose -5*g + 10*g = -3*u + 29, -3*g + u = -9. Let n be 3 - (-455 - 1)\/g. What is the highest common factor of j and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**3\/3 - 8*l**2 + 30*l + 2769. Determine c(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 10*t**2 - 3*t - 4. Suppose -11 + 35 = 6*r. What is the tens digit of w(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 + 4*l**4 - 3*l**4 - 4*l**4 + 7 - 7 + (-l + l - 2*l)*(-l**3 + 3*l**3 + 0*l**3) + 4*l**4 - 3*l**4 - 3*l**4.\nAnswer: -11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 12366*m**2 - 24738*m - 12370.\nAnswer: 2*(m - 6185)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13498 + 13498 + 34*u)*(1 - 16 - 47).\nAnswer: -2108*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/6514721 and 7\/295?\nAnswer: 32573605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 4*x**5\/5 + 146*x**4 - 2380*x**3\/3 + 1496*x**2 - 1200*x - 6729. Factor f(p).\nAnswer: 4*(p - 2)*(p - 1)**2*(p + 150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2425 = -5*m - c, 5*m - 3136 = 3*c - 691. Let x be (m\/(-15))\/((-1)\/(10\/4)). What is the highest common divisor of 27 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 - -68. Suppose 316 = y*c + b, -b - 304 = -3*c + b. Let p = c + 46. Is 36 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-7)*(-1260)\/(-144))\/(25\/(-2))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 5:28 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.156 - 0.364. Let r = n - -0.12. Which is the second smallest value? (a) 0.2 (b) -0.5 (c) -0.1 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2456 divided by 8.\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -17.985 times -0.1\nAnswer: 1.7985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-10)*2)\/(-4))\/((-5)\/40).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1469, -1589, -1325, -485, 1123, 3691, 7411, 12475?\nAnswer: 19075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - p**2 - 3*p + 2. Let x be v(0). Solve x*h + 31 = 41 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 11*p**2 - 10*p - 2. Let t(d) = d**2 - d - 1. Let x(m) = -l(m) + 3*t(m). Suppose -v + 28 = 3*v. Let g be x(v). Are g and -1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**3 - 1770*i**2 - 208620*i - 8187480 = 0. Calculate i.\nAnswer: -126, -114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbqjy. What is prob of picking 1 q and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3620090 to the power of 1\/2, to the nearest integer?\nAnswer: 1903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2126 - 1067 - 2*p - 1059.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from jjgjberj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -212, -154, -2, 292, 776, 1498?\n\"Answer: 8*x**3 - x**2 + 5*x - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1001886 divided by -111\nAnswer: -9026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47791 (base 15) to base 3.\nAnswer: -102120112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 178339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6846853547 + 10327674008. Let a = v + -3480820395.00000148. Let q = -66 + a. Round q to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 75 = 5*l, -2*l + 5*h = -26 - 16. What is the highest common divisor of l and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x - 4 = 0. Suppose -3 = -x*a + a. Let i(w) = w**2 - 4*w. Let o be i(5). Solve o*s + u + 2 = 3*u, a*u - 3 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-55)\/(-26) - (7047\/(-58))\/(-81). Suppose 6\/13*p**2 - r*p**3 + 0 + 2\/13*p = 0. Calculate p.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3511 - -0.0489. Is -4 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3\/7 + 2940*t**2 - 233250*t - 8678500\/7 = 0 for t.\nAnswer: -5, 85, 10210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21174323 to the nearest integer?\nAnswer: 4602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -11*g**3 - 2*g**2 - 4*g - 3. Let f be y(-2). Is (-15)\/60 + f\/4 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.350772 times -0.4?\nAnswer: 0.1403088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -320617599475\/5058 + 63388216. Let z = j - 8\/281. What is the common denominator of 105\/22 and z?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-one fifths of a second?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0077 in 0.4, 1.1, 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1580 - -1600. Solve x = 22*t - 27*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2\/25, 3\/2662, -1\/2 in ascending order.\nAnswer: -1\/2, -2\/9, -2\/25, 3\/2662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -9 - (-2 - 0 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.8427 from -2.\nAnswer: -5.8427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -762*x = -965*x - 2639 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3230 (base 4) in base 2?\nAnswer: -11101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112397087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4937113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -8)*3\/(-6). Suppose -b = -g - g. Solve -t + g*t = -s - 2, 2*t - 5 = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*u + 3. Suppose -3*r + n = -246, u*r = 4*r - 3*n - 328. What are the prime factors of r?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5051967, 10103936, 15155905?\n\"Answer: 5051969*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -54, 9, 6, 3, -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 334?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*j - 2*g, g + 3*g = -4*j + 4. Suppose -4*o = 27 - j. Let u(h) = h**2 + h + 1. Calculate the remainder when u(o) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 383, 909, 1789, 3011, 4563, 6433?\nAnswer: 8609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -7) + -1 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 - 84. Let u be (r + (-22)\/(-6))*15\/2. Is 14 a factor of ((-98)\/21)\/((10\/(-12))\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8207 and 665333.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 1834?\nAnswer: 3668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 76*k. Let i(d) = 11*d. Let q(o) = -3*a(o) + 20*i(o). What is q(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6742379 and 2513?\nAnswer: 2513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 912685.1 hours in milliseconds?\nAnswer: 3285666360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*h - 243558 = 54666. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/2 = -47802495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -5 (b) -21 (c) -6 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4784 - -4767. Let h(g) = g**2 + 18*g + 12. Determine h(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16286, 32582, 48898, 65246, 81638, 98086, 114602, 131198?\nAnswer: 147886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 - j**3 + j**3)*(-1 + 1 + j) - 6*j**2 + 2*j**3 + 6*j**4 + 4*j**2 - j**3.\nAnswer: 8*j**4 + j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -44, -117, -250, -461, -768, -1189, -1742?\nAnswer: -2445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 1:56 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -13*y. Suppose 4*x - 52 - 32 = 0. Let c = -19 + x. Let r(d) = -7*d + 0*d**2 + c*d**2 + 7*d. Calculate r(f(q)).\nAnswer: 338*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*i + 42 + 41 - 82.\nAnswer: 52*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-3)\/(-6)*-2. Let y(p) = p**2 + 2*p + 1. Let k be y(c). Suppose -4*x + 0*x**2 + k*x**2 + 2*x - 2*x**3 + 4*x**2 = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 664 = -447. Let x = v + -101. Sort 12, 2, x in descending order.\nAnswer: 12, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**3 + 354*v**2 + 110*v - 813. Calculate l(71).\nAnswer: 1956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -3, 5\/4 in descending order.\nAnswer: 16, 5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 137839090?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 12 = d + 3*d, d = -2*x + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1931?\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 7\/3*o**3 + 0 + 13*o + 1\/6*o**4 + o**2. What is the smallest common multiple of 46 and x(-7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -0.089, 0.2, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6*t - 1612. Suppose -3*f = -4*h - 407, 3*f - 5*h = -0*f + t. Is 26 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 10 = -20. Find the common denominator of 2\/n - 634\/60 and 9\/(-2)*44\/(-42).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-1 + -1)\/(-2). Let k be (2\/(-1) + 3)*76\/19. Suppose -k*o = -2*o. Solve -t*n = -o*n - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16, -53, -96, -133, -152, -141?\n\"Answer: 2*i**3 - 15*i**2 - 6*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-9 - (-29 + 7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**3\/3 + u**2\/2 - 7. Factor a(w).\nAnswer: -w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24 and 7\/114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prmqppmpxjqpqrpqrrp. What is prob of sequence jqr?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**4 - 2*w**3\/3 - 3*w**2\/2 - 419. Let i(j) = 13*j**3 + 7*j**2 + 10*j + 1. Let u = -7 + 14. Give u*x(b) + 2*i(b).\nAnswer: -2*b**3 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(1 - (-46)\/(-45)). What is the remainder when w\/(-2)*(-108)\/90 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 0, 2*y - 3*m - 50 = m. Let j be ((-24)\/10)\/((-10)\/y). What is the third derivative of -8 + 4*h**2 + 2 - 16*h**5 + j wrt h?\nAnswer: -960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 809*h**2 - 28546*h - 13997. What is i(772)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: What is the hundred thousands digit of 137469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21200 + -114?\nAnswer: -21314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*j**2 + 28*j**3 - 94*j**2 + 47*j**3 - 101*j**2.\nAnswer: 75*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 6*k + 0 + 10*k - 5 to the form t*k + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5*n - 12. Suppose s - l - 12 - 53 = 0, n*s - 131 = 3*l. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17, -2, -2\/13, -0.2 in decreasing order.\nAnswer: 2, -2\/13, -0.2, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 671172, 1342285, 2013398, 2684511?\nAnswer: 3355624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j + 7. Let n(d) = -d + 3. What is -4*g(w) + 9*n(w)?\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5960*u**2. Let v(t) = -61*t**2. Give l(v(c)).\nAnswer: -22177160*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 8. Suppose -3*o + 76 = 5*g, 2*o + 22 - 81 = -t*g. Suppose 0 = 4*a - o - 3. Solve -a*q = x + 2*x + 4, -q - 8 = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2088241586693\/97363944 - -8\/12170493. Let m = h - 21443. Find the common denominator of -1\/10 and m.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -75 - 812*o + 75 - 231*o in the form x*o + f and give x.\nAnswer: -1043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 530*c*t**2*y**3 - 8*c*y**3 - t**2*y**2 - 639*t**2*y - t*y**3 + t wrt c.\nAnswer: 530*t**2*y**3 - 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -128, -128, -126, -122, -116, -108, -98?\n\"Answer: j**2 - 3*j - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**3\/2 - 2*z. Let g(k) be the third derivative of k**5\/15 + 3*k**2 + 2*k. What is u(g(q))?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*l - 5 = 28, 2*u = -2*l + 28. Let w be (u\/((-9)\/(-2)) - 0) + 0. Solve w*i - 4 = 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i + 10*i + i + (-4 + 4 + 3)*(-3*i + i - i) + i - 5 + 5.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2221 (base 3) to base 12.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(5 + -9))\/74.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 11) to base 6.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 39, 1, -62 in descending order.\nAnswer: 40, 39, 1, -62","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -21.22, -5, -4, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 887*h**5\/30 - h**4\/4 - h**3 - 43*h**2\/2 + 42. Let c(f) be the second derivative of i(f). Is c(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 368\/20 + (-2)\/5. Let y = g + 1. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1464, -2788, -4108, -5424, -6736?\nAnswer: -8044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248, -247, -246, -245?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 6)*(69 - 62 + 3*f - 89) to v*f + g and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f + 10*f, 4*g = 2*f + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.04, -3\/8, -4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 1 + 1)*(16 + 0*w**2 + w**2 - 2*w**2).\nAnswer: 2*w**3 - 32*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -5\/12*u**2 - 1\/30*u**5 + 1\/18*u**3 + 58 + 0*u + 5\/24*u**4. Find p, given that t(p) = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than 165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**4\/4 + 4*l**3\/3 + l**2 - 4*l - 2. Let x be b(4). Suppose -c + 38 = 10. What is the highest common divisor of c and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 245451 and -2?\nAnswer: 245453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6450, 54532, 185042, 439194, 858202, 1483280, 2355642, 3516502?\n\"Answer: 6869*z**3 - z - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.87854698?\nAnswer: 2.63564094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41? (a) 0.2824 (b) 0.1 (c) -0.4 (d) 94 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-20))\/(2079\/(-2695))*(-2)\/6\nAnswer: -7\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 70939*n + 2 + 71811*n + (1 + 3 - 5)*(3*n - 2*n + n) + 3*n - 4*n + 0*n + 3 - 3 - 2*n.\nAnswer: 867*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2. Let m(v) be the second derivative of -29*v**3\/3 - 85*v. Calculate m(u(y)).\nAnswer: 174*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1097 + -630. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3572 is divided by 161?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12822569398 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 84868 (base 14) to base 2\nAnswer: 1001110000111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**3\/7 - 82*p**2\/7 + 5*p\/7 + 82\/7 = 0. Calculate p.\nAnswer: -82\/5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1253*g**3 + 401*g - 401*g + 120*g**3.\nAnswer: 1373*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, z: 1, p: 2, m: 5, c: 6}. What is prob of picking 1 m and 2 t?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2018 is divided by 671?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 27 = -5*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100 (base 4) to base 13.\nAnswer: 1cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 9 - 11 = 0. Suppose -5*z + 3*z + 3*w = -16, -23 = -l*z - w. Which is the third smallest value? (a) z (b) -1\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015735 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/880 and 69\/160.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -2476905?\nAnswer: 2476901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 + 783*c**2 - 783*c**2.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -88388*t + 17997 wrt t.\nAnswer: -88388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**2 - 23 + 41 + f**2 - 18*f**2 - 18.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 783*r**3*y - 1111*r**3 wrt y?\nAnswer: 783*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 8902136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 61280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 2 = 19*b - 37*b, -16 = 4*b - 5*l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2. Let f(v) = -40*v. Calculate f(g(h)).\nAnswer: -160*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -527, -818, -1113, -1412, -1715, -2022?\nAnswer: -2333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0405 and 26150.\nAnswer: 26149.9595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36995 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 16882*l + 1 - 16882*l - 59*l**2. Let p(y) = -3*y. Determine p(s(n)).\nAnswer: 177*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -5.9381509719.\nAnswer: -5.6381509719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31\/4 - -431\/36. Calculate the common denominator of 79\/4 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3507189 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 4*v**2 - 7*v - 4. Let r be i(-4). Let m be (-1028)\/(-16) + 20\/(-16). Let u = -47 + m. What is the greatest common factor of u and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 1 + sqrt(68) + -2)**2.\nAnswer: -8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 247, 246, 245?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1448138 is divided by 144762.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 22*i - 3*z = -20, 7*i - 2*z - 5 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-166*y**2 - 202*y**2 + 460*y**2)*(-3*y + 5*y - y) + y**3 - y + y to p*y**3 + u + x*y**2 + r*y and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3495d0 (base 15) to base 12\nAnswer: a11a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96 - (61 + -207)) + (3 - -17)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 20*q + 85. Let s be y(-23). What is the second derivative of -s*l - 10*l + 44*l - 2*l - 115*l**2 wrt l?\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/1881 + -107357\/131670. Find the common denominator of l and -17\/254.\nAnswer: 8890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.105 - 0.22?\nAnswer: -0.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/17)\/i*i)\/(i\/i**(1\/4)))\/((i\/((i\/i**(-1\/3))\/i))\/i)**1 assuming i is positive.\nAnswer: i**(-121\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 654862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*r - 5)*(0*r + 0*r - 2*r**2)*(0*r + 8*r + 2*r)*(31*r + 21*r - 44*r) - 4*r**5 + 3*r**5 + 3*r**5 + (0*r + 0*r + 2*r)*(r**4 - 2*r**4 + 3*r**4).\nAnswer: 326*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 46f0b3 + 14d?\nAnswer: 46f200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 645*u**2 - 2611*u - 30142. Give h(-641).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 475 + -2845\/6. Let w(v) be the second derivative of 0 + 2*v + r*v**3 + 5*v**2. Differentiate w(x) wrt x.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - o**2 + 45. Suppose -2*i + 54 = -4*y, 3*i + 3*y - 6*y = 78. What is the remainder when r(0) is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5166 (b) 1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-60 + 196 + 251 + 93)*(2*w**2 - w**2 - 5*w**2).\nAnswer: 3840*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35430, 70977, 106524, 142071, 177618, 213165?\n\"Answer: 35547*b - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -336939387.117 and 5.\nAnswer: -336939382.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 12*j - 53. What is h(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 7107660?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*c - 42*c - 24 + 92 to n*c + z and give z.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, -242, -294, -378, -500?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 28553990400 to the nearest 1000000.\nAnswer: 28554000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*u**2 - 66*u**2 - 7*u**2)*(-4*u + 8*u + 11*u - 1).\nAnswer: -900*u**3 + 60*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 12*z**2 - 45*z - 29. Calculate k(-12).\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7*10*5\/70. Solve -5*k + j = -1, 2*k - n*j + 3 = 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -10101011?\nAnswer: 10101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2144\/41 + -204003\/4018. Let o = f - 1\/49. Solve 1\/6 - j + o*j**2 - 2\/3*j**3 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 61. What is the lowest common multiple of g and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**2*s**3*x**2 + 55*o**2*s*x**2 - o**2 + 2*o*s**3*x**2 - 4*o*s**3*x - 99 wrt o.\nAnswer: 4*s**3*x**2 + 110*s*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103976461 to the nearest integer?\nAnswer: 10197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 75, 200, 445, 852, 1463, 2320, 3465?\n\"Answer: 7*h**3 - 3*h**2 + 7*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqj. Give prob of sequence jjq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03955093 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2030 + 2033. Factor 0 + 0*f**2 - 4\/3*f**4 + 4\/3*f**p + 0*f.\nAnswer: -4*f**3*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -352 + 1743?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**6\/5 + 5*b**4\/6 + 10*b**2. Find the second derivative of o(l) wrt l.\nAnswer: -144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -2\/13, -10, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + -5)*4\/(-3). Let z be -2 - (2 + -1 - -1). Let o be 1\/2*z\/(-3). Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/4407 and 16\/1173731?\nAnswer: 3521193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 271, 1015, 2249, 3973, 6187?\nAnswer: 8891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 743852067 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 4 + 1 - 2. Let b be n(4). What is the first derivative of -2 + b + 4*x - 2*x wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/10 and (-408)\/42*1\/2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 28*q**2 - 3*q. Give u(2).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6100*f**2 + 6110*f**2 - 12209*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 3:20 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6840 (base 10) to base 9.\nAnswer: 10340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byxxzbpwbbbbbybxpbp. Give prob of sequence pxb.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -513192 divided by 6.\nAnswer: -85532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**3 - 4*g**2 + 2*g - 7. Let r(v) = -v**2 + 3*v - 1. What is -3*h(x) - 8*r(x)?\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5972 take away -0.7?\nAnswer: 5972.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37285 + 564776 = -9115*z - 180539 + 6175 for z.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i - 18. Let q = -23 - -45. What is the smallest common multiple of z(-4) and q?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16346 and 16346.\nAnswer: 16346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = o - 1, -g - o + 5*o + 14 = 0. Suppose z - 54 = -g*z. Calculate the least common multiple of 12 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-585)\/60 - -5)*-28. Solve 30*w - s = 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d**2 - 14*d**2 - 13*d**2 + 41*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a + 38. Let t be l(8). Let c = t + -84. Solve -r - 2*q = c - 1, 0 = 5*r + 4*q + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 87377.\nAnswer: -87369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 485064 to the nearest one thousand.\nAnswer: 485000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.8? (a) -4\/5 (b) -22 (c) -5 (d) 0.95 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 33 + 11. What is the highest common divisor of 8 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l - 16*l - 27*l = -952 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 240 = 15*v. Suppose 36 - v = -4*d. Solve -j = 3*g - d, -8 = -3*g - g + 2*j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 713220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0362*2.\nAnswer: -0.0724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -15*5\/(-25). Let g(u) be the third derivative of -p*u**2 + 1\/15*u**5 - 1\/3*u**3 + 0*u - 7\/24*u**4 + 0. Factor g(v).\nAnswer: (v - 2)*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -432 by -432.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66\/12061 or 8.8?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 50 - (-178 - -148) - -17.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -968, -2338, -3708, -5078, -6448, -7818?\n\"Answer: -1370*k + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/14 + (-150)\/35 + 4. Let t(d) = d + 7. Let x be t(-6). Let i = c - x. Do 0 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 8 + 2*a - 12 - 4*a**2)*(0*a - 3*a - 2*a) - 45*a**3 + 17*a**3 + 10*a**3.\nAnswer: 2*a**3 - 10*a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from kckrckcr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Suppose -3*p = -3*g + 84, -2*p - 4*g = 6 + 26. Let h = p - -27. Is 7 a factor of 17 + (1 - (h - -1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116\/5800*15 + (1 - (-417)\/10)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -95*l - 3798. Let v be y(-40). Let x(g) be the second derivative of -v*g**2 + 0 + 5\/3*g**3 + 11\/3*g**4 + 3\/2*g**5 + 16*g. Let x(m) = 0. Calculate m.\nAnswer: -1, -2\/3, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 7 + -4)*(-4)\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**3\/3 - 9*c**2\/2 - 7*c. Let i = 15 - 22. Let o be q(i). Solve -n + 0*v - 13 = -o*v, -4*n = -v - 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*v + 12*v + 15*v)*(2 - 1 + 0) + 2*v + 2*v - 2*v as a*v + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 67.33. Let b = s - -0.3299946. What is b rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/54)\/((-2)\/(-6)). Let s(x) = 1. Let i(f) = 13*f - 2. Give c*i(q) + 2*s(q).\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 12119 (b) 3 (c) -3\/5 (d) -2\/9 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = l + 6*x - 6631, 10*l - 66310 = 2*x. What is the thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 - 8 - 56714*k + 56615*k to the form u*k + q and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 9\/4*q**6 + 243\/2*q**3 - 6*q + 405\/8*q**4 - 3*q**2 + 3\/14*q**7 + 0 + 27\/2*q**5 + 1\/112*q**8. Factor g(z).\nAnswer: 3*(z + 3)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135900457 take away -8?\nAnswer: 135900465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 365*m + 6171 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-5*(sqrt(882) - (sqrt(882) + (sqrt(882)*1 - sqrt(882)))))\/(((sqrt(99) - (sqrt(99) + (sqrt(99) - (sqrt(99)*-1 + sqrt(99)))))*3)\/sqrt(11)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 12*c**2 + 36*c - 597. Calculate the remainder when f(20) is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16499 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/10 - ((-36)\/(-10) + -1). Let d(u) = u**2 + 4*u + 5. Give d(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 - 2*o**3 - 15*o**3 - 23*o**3.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 552710847?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -363*i**3*s + 13*i**2*s - 6*i*s - 3*i wrt i.\nAnswer: -2178*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1209*r**4 - 3*r**3 + 9853 wrt r.\nAnswer: 4836*r**3 - 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45.6 + -46. Sort v, -0.5, 1\/2 in ascending order.\nAnswer: -0.5, v, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -31. Let z be 6\/4 + y\/(-8). Let v be (z\/(-2) - -1)*-1. Is -1\/4 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 955 is divided by 115?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 - 5*j + 10. Let l(f) = 5*f**2 - 9*f + 21. Let m(s) = -4*l(s) + 7*x(s). What is the tens digit of m(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 551598\/71448 + -7 + (-1)\/4. Let i = s + -2\/229. Suppose -2\/13*m - 8\/13*m**2 + 0 - i*m**3 = 0. What is m?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 5*b + 17, 5*m - b - 81 + 74 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 4*t + 31, 7*z + t - 82 = -107 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23065 + -16384. Is k a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483203011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*5*(sqrt(22)\/sqrt(2))**2.\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -554909593\/480 + 10465221\/10. Let b = m + 109541. Find the common denominator of b and -3\/38.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 13*z**2 - 75*z + 212. Give l(3).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -348*g + 358. Let h be u(1). Calculate the greatest common factor of h and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u. Let c(q) = 4*q. Let j(y) = -6*c(y) - 5*d(y). Let x be j(-2). Let k be 30\/(-56) + (x\/(-7) - 0). Sort k, -2\/21, -4, 3\/7 in descending order.\nAnswer: 3\/7, -2\/21, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3211*g + 83. Let w be f(1). Round w to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1073, 2220, 3369, 4520, 5673, 6828?\nAnswer: 7985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**3\/6 + 15*x**2 + 30*x. Let v be u(27). Solve 0 = 2*y - z - v*z + 14, -z + 2 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 284*m**2.\nAnswer: 4*m**2*(m - 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 892008555?\nAnswer: 892008555.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4019*r**4 - 114*r**3 - r**2 - 3110090 wrt r.\nAnswer: 96456*r - 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -3*v - 0 - 6, w = -2*v - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14932199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67*y**6 - 4*y**5 - 4*y**2 + 25*y wrt y?\nAnswer: 8040*y**3 - 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 293, 0.5, -2, 1, 65 in descending order.\nAnswer: 293, 65, 1, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - ((-5424)\/(-1353))\/(-2). Let u be ((-291498)\/(-42845))\/(8\/(-10)). Let j = b + u. Find the common denominator of j and -77\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(143)*-6 + -2*2*sqrt(143)))\/((sqrt(132) + (sqrt(132) - 1*sqrt(132))*3)\/(sqrt(132)\/(sqrt(11) - sqrt(11)*2))).\nAnswer: 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 45*o**2 + 47*o + 44. Let u be p(-46). List the prime factors of (-1)\/(6\/(-4)*u\/(-3771)).\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 11*m + 2. Let s be k(11). Suppose b - 49 = -p - s*b, -5*b = -5*p + 165. List the prime factors of p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-76)\/6*(0 - -9). Let g = 5 - r. Let d = 172 - g. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27 + -6)*(-2)\/6. Let l = d + -14. Let v be (-1)\/1*(-3 - l). Solve -t = -v + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-672)\/(-20))\/(-14)*(-10)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67709687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17363 + 17361. Which is the third biggest value? (a) -1.2 (b) r (c) 0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -m - 3*p, 3*m + 2*p = -p - 3. Let d be (-5)\/2*(-1 - 1). Suppose -d*w = -0*w - 105. Solve m = 3*s + 6 - w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 - 7*h + 5. Calculate u(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36c31 - 3?\nAnswer: -36c34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 30409*a = 30406*a - 39, -6*a = g - 48 for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - 49 - (-8 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 91344.44 millimeters?\nAnswer: 91344440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 5*g - 9 - 1 + 23 - 4 in the form h*g + y and give y.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*q + 83 = -4059. Calculate the greatest common divisor of q and 10697.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/6264 and 79\/2001?\nAnswer: 144072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2919 is divided by 1451.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.127 + -15213749917?\nAnswer: -15213749917.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37565.\nAnswer: 5, 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t. Let v(m) = 106*m**2 - 10*m. Give -10*q(h) + v(h).\nAnswer: 106*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d + 3. Let o = 486 - 485. Calculate g(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*5*(-144)\/60. Let u be ((21\/(-2))\/(-7))\/(o\/8). Solve 0 = -2*r - 5*p - 5, 4*r = 5*p - u + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 88962820 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 22. Let j(x) = x**2 - 2*x + 9. Does 22 divide j(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 41 + 43 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + -6 - (41 + -80 + 5)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y - 6220 = -355. Calculate the greatest common factor of y and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659 - k - 663 - 5*k + 1322.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 701 - 699. Which is the second biggest value? (a) 19 (b) -0.6 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*r + 34. Let m(x) = 38*x**2 - 8*x + 16. Let y be m(2). Let b = y + -148. Calculate the remainder when r is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128594214 is divided by 1539?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.3, -0.04, -2\/17?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-165)\/(-3)*(-7 - -6). Let u = 57 + j. Solve -4*d + 8 = 4*w, -3*d + 3*w = -2*w + u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/4, -397926, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848675 is divided by 211183?\nAnswer: 3943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24331055, 24331056, 24331057?\n\"Answer: t + 24331054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64149\/10 + -6424. Find the common denominator of -69\/524 and n.\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/3, 73\/4, -0.5, -3, 2 in decreasing order.\nAnswer: 73\/4, 3, 2, -1\/3, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/21*-4)\/(5\/(-3)). Which is the nearest to w? (a) 1 (b) 0.1 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**4\/4 + 2*u**2 - 3*u + 93. Suppose -3*f + 4*o + 25 = 2*f, -f + 5 = 5*o. Suppose 0 = -f*d - 3 + 13. Determine m(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 27*h**2 + 30*h + 102. What is i(-26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -15617.003 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3250728 divided by 180596.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -13. Suppose -5*h - j + 15 = 0. Suppose h*g = -3*g + 105. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, l: 2}. What is prob of sequence ll?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13326 and 150?\nAnswer: 333150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*p - 77, 0*d = p + 4*d - 20. Suppose -3*s = s - p. Suppose -4*w + s*f = w - 48, -4 = 2*f. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**6\/60 + q**5\/30 - q**4\/12 - q**3\/3 - 3*q**2\/2 + q. Let d(n) be the first derivative of p(n). Factor d(c).\nAnswer: 2*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 129629363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**5 - 6*o**4 + 58*o**3 + 54*o**2 - 560*o + 600 = 0?\nAnswer: -5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 7*s**2 + 5*s - 3. Let o be j(8). Let k = 101 - o. Suppose 5*m - 21 - 9 = 0. Solve w - m = p - 0*p, p + 5*w = k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 77, 220, 377, 554, 757, 992, 1265, 1582?\n\"Answer: n**3 + n**2 + 133*n - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491*c - 505*c + 42 = 0. Solve 0 = 4*j - 3*o + c, -13*j + 11*j = -o + 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 18. What is i(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8839 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2. Suppose 0*i + 6 = -3*i. Let g = i - -4. Let c(x) = -2*x**2 + 6*x**2 - g*x**2. Determine c(d(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 - q**2 + 2*q**2)*(-q - q + 3*q) + 29 + 37 + 30*q**3 - 64.\nAnswer: 28*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2 - 1 + 3*u - 1. Let k(j) = -2*j - 6218 + 6218 - j. Calculate k(y(m)).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 233720850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35851 + -4?\nAnswer: 35846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 10821814?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 639 and 709077.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135 - 71. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.6 + -17.3. Let n = -3 + -5. Put o, 5, n in ascending order.\nAnswer: n, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -1\/4 (c) -5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(2\/9))\/g**(2\/7)*(g**(-2\/3)*g)**47)**20)**(-32) assuming g is positive.\nAnswer: g**(-669440\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/378 and ((-772)\/12 - 4\/6)\/324?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 = -6. Let p(u) = -h*u**2 - 3*u**2 - u**3 - 6 + 2*u**2 + 4*u. Let w be p(-6). Solve -w = 5*q + 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.95 + 6.349. Round v to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t + 532 = 0. List the prime factors of t.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011147 to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115 + 115. Suppose u = 12*f - 7*f - 135. What is the least common multiple of 24 and f?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 3*s + 5. Let r(x) = -2*x + 4. Let d(o) = o**3 - 6*o**2 + o - 6. Let n be d(6). Let i be -3 + n*(-2)\/4. Calculate i*r(g) + 2*v(g).\nAnswer: 2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 670 by -10.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + (-3)\/3 + -3. Let i be (7\/d)\/(7\/42). Let q be 38\/14 - 2\/(-7). What is the greatest common divisor of i and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1224*q + 40 = 1220*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3 = 2*d, -4*w + d = -3363. Calculate the least common multiple of 147 and w.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/((-6)\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-120)*4 - ((-77)\/42 - 4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 1330*h**2 + 56040*h - 1468800.\nAnswer: 5*(h - 18)*(h + 80)*(h + 204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4312830 and 69900.\nAnswer: 6990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-17)*(-11 + 2822\/204) + 724\/12\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/31585 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*n - 5*h - 12, -h = 2*n + 33. Let x = n - -20. Suppose -3 + 22 = 2*w - 3*v, -3*v = w + 4. Solve -5*i + i + 6 = -x*q, i = -q + w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.046 - 0.067. What is q rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 199 + q - 66 - 63 - 68. Let o be 10\/(-6) + (-6)\/(-9). Calculate a(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 3*d + 1\/2*d**2 + 7. Calculate z(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 - -7.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 929538955146.\nAnswer: 929538955142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-162)\/(-24) + -7). Let x(r) be the third derivative of -1\/3*r**3 + 1\/12*r**n + 0*r + 0 - 3*r**2. Find the first derivative of x(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 342*x**2 - 98*x + 146. Is 122 a factor of c(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-52)*204\/(-153)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**2 + 2. Let p(d) = -17*d**2 - 7. Let m(k) = -7*f(k) - 2*p(k). Let x be (-27)\/(-21) - (-4)\/(-14). Let r(j) = 1 - x + 2*j - 5*j. Determine m(r(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6900 + 14129. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 + -159 + 124 - -81?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*f - 41. Suppose 5 = -l - s, 5*l + s + 25 = 2*s. Sort f, -2, l in decreasing order.\nAnswer: f, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 64025375 and 1.2.\nAnswer: 64025376.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (-1 + 2) - -7. Is 2 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42026224 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 20813 = 4*c + 28714, 0 = -4*p + c + 66062. Is p a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k = -30*k + a - 34, -2*a = k + 7. What are the prime factors of -24*k\/(-20)*(-19)\/3?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66*-0.21\nAnswer: 13.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.13, 2, -2\/103?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 489*o*q**2*s**2 - 5*o*q*s**2 - 2*o*s**2 + 2*q*s**2 + 2*s wrt q.\nAnswer: 978*o*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.5 or 5812?\nAnswer: 5812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a millisecond in microseconds?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -2*h. Suppose h*n - 24 = 18. Let s = -5 - -26. Calculate the highest common divisor of s and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*t - 158 = 0, 5*r - 3*r - 2*t + 164 = 0. Let m be r\/(-10) - (-3)\/6. Calculate the greatest common factor of m and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**4 + 4*v**4 + 4*v**4 - 5*v - 2*v wrt v.\nAnswer: 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11*11 + (3 - 1). Let k be 0 + 260\/(-4) + -3. Let f = k + x. Is 18 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11388\/273*1\/(-2). Is f less than or equal to -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26728 - 8286. Is z a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 + w**2 + 3. Let d = 86 - 70. Let g(t) = -4*t**2 + d + 7*t**3 - 39 + 12. Give 6*g(j) + 22*i(j).\nAnswer: -2*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 1. Let m(s) = s. Let y(v) = -i(v) - 6*m(v). Let u(r) = -9*r - 1. Let a(t) = t**2 + 8*t + 10. Let h be a(-5). Give h*y(c) + 3*u(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*z - 125*z + 28*z + 5.\nAnswer: -149*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q - 2. Suppose 6*t = t + 10. Let z be 2\/2*5*-1. Let a(h) = 3*h - 11. Let b(d) = -3*d + 9. Let k(v) = 5*a(v) + 6*b(v). Determine t*j(o) + z*k(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {u: 8, c: 4, b: 2, f: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*o**4 - 4*o**3 + 463*o**2 + 81973*o.\nAnswer: 240*o**2 - 24*o + 926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27225 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 23*j = -18*j + 18, 48*x + j = 47*x - 26 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -6. Suppose v*d + 11 = -d. Let f = 3 - d. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57 + 524*i**2 + 534*i**2 - 1055*i**2 + 12*i**4 + i**3 + i to the form p*i**3 + y + j*i + w*i**4 + d*i**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 810*j = -907*j + 29189 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 3*k**2 - 2*k + 1. Let f be m(1). Suppose 0 = -5*i - f + 21. Solve 3*u = -i - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1227846.3340112808 - -94565703.7459899892. Let a = -95793551 + w. Let u = a + 0.92. Round u to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 2:02 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -63, -95, -127, -159, -191?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5283, -5281, -5279?\n\"Answer: 2*q - 5285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623.1394 hours to seconds.\nAnswer: 2243301.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/(-6) + (-4)\/(-6). Let j(k) = k**2 + 5*k - 1. Let g(n) = -n. Give l*g(d) - j(d).\nAnswer: -d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 7*c**5\/60 + 29*c**4\/12 + 8*c**3\/3 - c**2 + 49*c. Let n(w) = 0. Calculate w.\nAnswer: -8, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -160753462077 and -4?\nAnswer: 160753462073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -20*j + 327. What is h(2)?\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7009 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**5\/7 - 30508*q**4\/7 + 56085916*q**3\/7 + 8035041548*q**2\/7 - 50612799680*q\/7 - 8370246400 = 0.\nAnswer: -139, -1, 7, 3880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqebebbqxbe. Give prob of picking 1 e and 1 x.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -1. Suppose -t = 5*v - 25, v - 6*v = -w*t - 5. Sort -3, v, 0 in ascending order.\nAnswer: -3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 5, 4, -2\/49, 9744?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -396 + 961. Let k = 559.11 - g. What is k rounded to 1 decimal place?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*((u*((u\/u**(-4))\/u)\/u)\/u)\/u)\/u))\/u*(u**3*u)\/u)**33 assuming u is positive.\nAnswer: u**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 6 + 2)*(4*q - q - 6*q) - 2*q + 0 + 0)*(4 - 90*q**2 + 94*q**2 - 1).\nAnswer: 16*q**3 + 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20251.\nAnswer: 7, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + 5 - sqrt(48)*-2)**2.\nAnswer: 120*sqrt(3) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 10425\/6 - 2\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 686 - 685.9511. Let t = -0.9511 - n. Which is the nearest to t? (a) 0.4 (b) -6 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -4 (c) 0.0519\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*t = -1873 - 6927. Solve -107*i + 150 = -t*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22966 + -9256. What are the prime factors of j?\nAnswer: 2, 3, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2004, -7892, -17718, -31482, -49184, -70824?\nAnswer: -96402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*l + 2 - 2 - 98*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -113184*o + 115906 wrt o.\nAnswer: -113184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 12, k: 7}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/33)\/p*p\/((p*p**(9\/7))\/p)*p**(-16)\/p*p\/(p\/p**(-10)) assuming p is positive.\nAnswer: p**(-6541\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2521 - 2441 = 10*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -20552*w + 123309. What is u(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 9*q**6\/40 + 19*q**5\/60 - 25*q**2. What is the third derivative of v(u) wrt u?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.87674 - -18.328. What is u rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(75) + 1)*-3*-1)**2 + -2 + 3.\nAnswer: -60*sqrt(3) + 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urmr when four letters picked without replacement from {m: 6, r: 2, h: 2, u: 10}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1610?\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*f**2 - 22*f**3 + 182*f**2 - 3*f**3 - 109*f**2.\nAnswer: -25*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-83)\/2)\/(((-152)\/(-48))\/(4940\/780)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -70 - 104. What is the greatest common factor of 145 and d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7538385, 15076769, 22615153, 30153537, 37691921?\n\"Answer: 7538384*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/56*7)\/(2\/16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 - 2*y**2 + 10*y - 194 - 543.\nAnswer: -2*y**2 + 10*y - 605","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -1072 + 1098. Calculate the greatest common factor of 1391 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0102 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t. Let y(s) = -18*s + 9. Give m(y(p)).\nAnswer: -108*p + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -268 + 566. What is the remainder when f is divided by 91?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 13*y**2. Let b(s) = 801*s**2. Determine b(r(j)).\nAnswer: 135369*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -8*x**3 - 7*x**2 + 7*x - 81. Let b(g) = 3*g**3 + 358*g + 2*g**2 + 27 - 176*g - 184*g. Let f(l) = -7*b(l) - 2*r(l). Differentiate f(d) wrt d.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 4:07 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35749304723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 411?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4105, -3736, -3367?\n\"Answer: 369*o - 4474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 741 and 9674743.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.9601 - -0.0399. What is the nearest to 0 in 5, 34, 1\/2, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 1 + 8 + 8 + -10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 263605?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -194a - 7?\nAnswer: -1951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-48)*j**15*j**43*j**29)**(2\/165) assuming j is positive.\nAnswer: j**(26\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 - 31 = -19*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 0 - 7*q + 0*q**3 + 0*q**2 - 1\/6*q**4. Let c(a) = -14*a + a - 16*a - a. Determine c(w(z)).\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4265541653.\nAnswer: 6701, 636553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -225*c**4 + 2320*c**3\/3 - 602*c**2 - 392*c - 733. Factor i(j).\nAnswer: -4*(5*j - 7)**2*(9*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87\/3230 != -272\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**3 + 1\/2*n**2 - 1 + 0*n + 1\/24*n**4. Let a(r) be the second derivative of d(r). What is a(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(1450\/(-25))*(-42)\/28*564\/9\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*b + 1518 = 8*b, 2*i - 4*b = 1500. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.4514*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21 - (-20)\/(-16)*4. Suppose 4*l - u - 4 = -2*w, w + 14 = 2*l. Suppose -447 - 291 = -l*m. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.025 (b) -0.3 (c) 2\/9 (d) -13 (e) -0.2 (f) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -23647*y - 93356. Calculate i(-4).\nAnswer: 1232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119 + -116. Suppose -4*h + h = 3*j - a, -3 = -3*h + 3*j. Let q = -0.19 - -0.69. What is the second biggest value in q, 0.6, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - l + 5*l = -14, 0 = 2*z - l - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36571783?\nAnswer: 36571783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33605 - 1?\nAnswer: -33606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/12*(-453)\/(-1). Let a = y - -526. Suppose a = 2*t - 250. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 4. Which is the nearest to 1\/2? (a) 1\/6 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 4:15 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(4\/1*-1). Are s and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**4\/3 - 4258*m**3\/3 + 43148*m**2 - 207712*m\/3 - 967232\/3 = 0.\nAnswer: -2159, -2, 4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7\/11)*k)**22*(k**(2\/89)*k)**(-25) assuming k is positive.\nAnswer: k**(-1563\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 290.866254 rounded to two dps?\nAnswer: 290.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 294*o**2 - 4*o + 13. What are the prime factors of j(2)?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 4. Let u(c) = c**2 + 4*c - 8. Let s be u(-6). Let x be g(s). Solve -3*v - 16 + 7 = x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 4\/505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030011021 (base 4) in base 16?\nAnswer: -4c149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130629 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -a3d?\nAnswer: -a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19662 + 618 = 52*r. What is the remainder when r is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 4:07 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -24 (b) 122 (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**3 - 562*d**2 - 199*d - 2296. What is q(-187)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000211601 rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.958 - 1.956691. Round j to 5 decimal places.\nAnswer: 0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -35.8. Let w = -0.2 - -2. Let u = w - -0.2. Which is the third smallest value? (a) 0.4 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5570\/3 bigger than 1857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 33574000 to the nearest 100000.\nAnswer: 33600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 474 - 427. What is the remainder when k is divided by 4\/18 - (-106)\/9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -24 - 6. Put -4, -5\/7, s in increasing order.\nAnswer: s, -4, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 761*n = 274 + 233 + 254 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dey when three letters picked without replacement from {y: 2, d: 1, e: 1, n: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -42171456 divided by -32\nAnswer: 1317858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -3*n**5\/35 - 6*n**4 - 159*n**3\/7 + 6*n**2\/7 + 636*n\/7 - 1371. Let a(q) = 0. Calculate q.\nAnswer: -53, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0062 + -0.4938. Which is smaller: -36.9 or j?\nAnswer: -36.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/36 and 29\/132?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -1) + (-2)\/2. Suppose -4*n = -l + 5, -x*n + 4*l - 5 = 3*l. Let o be n\/(-1) - 15\/(-6). What is the third smallest value in -1\/4, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*n**2 - 55*n**2 + 273*n**2 - 58*n**2 - 59*n**2 - 53*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35881\/1506 - 2\/251. Calculate the common denominator of -89\/16 and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 s when four letters picked without replacement from {h: 4, y: 6, s: 7}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1995552 is divided by 1599.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 426884.7 rounded to the nearest one thousand?\nAnswer: 427000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5013*49.\nAnswer: 245637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2992778587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1452*i + 50. Let h(z) = -365*z + 12. Determine -17*h(t) + 4*k(t).\nAnswer: 397*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -13. Which is the closest to -0.1? (a) r (b) 0.3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w. Let g(y) be the third derivative of y**4\/2 - 2*y**3\/3 + 966*y**2. Give r(g(i)).\nAnswer: -12*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p - 2*p**3 + 0*p + (6*p - 5*p + 2*p)*(-p**2 - p**2 + 0*p**2) + 4*p**3 - p**3 - p**3 + (10*p**2 - 9*p**2 + 8*p**2)*(2 - 2 - 2*p).\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + 6 - 11 - (-2 - -1). Solve l = 2*l - 2*u + o, -9 = -3*u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 16 = -4*g, -3*m - 12 = -5*m - 3*g. List the prime factors of ((-47)\/2 - m)*-2.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1, -0.3, 23, -4\/13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38279480 divided by -4.\nAnswer: -9569870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 8:19 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -51. Suppose 0 = 2*t - n - 6 - 2, -t = 2*n + 6. Calculate the least common multiple of t and f\/6*(-6)\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6090354.\nAnswer: 2, 3, 23, 47, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*h**4*r**3 + 231834*h**4*r**2 + h**2*r**3 - h**2*r - 447*h**2 + 2*r**3 - 366 wrt h.\nAnswer: -216*h*r**3 + 5564016*h*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(121)*-3 - sqrt(121))\/(sqrt(396) - -3*sqrt(396)).\nAnswer: 7*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7)**(-16\/3)*(m**(-9)*m)\/m*m\/m**(-2\/15) assuming m is positive.\nAnswer: m**(-226\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {l: 8, q: 5}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8*s**2. Let r(h) = -55*h. Determine r(d(x)).\nAnswer: 440*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - q + 0*q)*((0*q - 2*q + q)*(4 + 1 + 1) + 3*q - 2*q - 11*q) in the form u*q**2 + s + d*q and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 13*c + 65. Suppose 3*d + b = -0*d + 15, -4*b - 36 = -4*d. What is the lowest common multiple of 8 and z(d)?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(10\/5 + -2). Find the first derivative of p - 6 + m*p + 16 wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n - 2*o + 10 = 0, 0 = 2*o - 6. What is the tens digit of -9*((-28)\/3)\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1567 + -24981.\nAnswer: -23414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 3061515489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -918*h + 1074.\nAnswer: -918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3447 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 21 + -22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -6 - 3. Let j(p) = -p**z + 7*p + 0*p + 4*p**2 - 1 - 8*p. Let r be j(3). Calculate the greatest common divisor of 80 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/7)\/(18\/(-231)) and -8\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*((y**5*y)\/y)\/y*y)\/y)*y)\/y**5*y\/(y*y\/(y\/(y*y**(-3)*y*y)))*y**(-2\/25) assuming y is positive.\nAnswer: y**(-202\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = 2*z, -3*f - 10 = 4*z. Let y(o) = -o**3 - 3*o**2 + 3*o + 5. Let j be y(-4). Suppose j = g - f. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 86*o**2 - 1967*o - 2877. What is b(105)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 + 39?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -1\/6*m**3 + 1\/2*m**2 + 0 - 9*m. Determine y(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 times -0.86198\nAnswer: -12.9297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/13 - 4*g\/13 + 2\/13 = 0. Calculate g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 4\/(-3))\/((-2)\/6). Suppose -3*s + s = -3*u - 37, j*s = -5*u - 25. Let z = u + 13. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13158, -13118, -13054, -12966, -12854?\n\"Answer: 12*u**2 + 4*u - 13174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 384\/(-28) - 2\/7. Let r = b - -17. What is the greatest common divisor of r and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12250\/(-510) - -24)\/(1053\/486)\nAnswer: -2\/221","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(5\/3))\/l)\/l)\/l**(-5\/8)*l**27\/((l\/l**(-33))\/l) assuming l is positive.\nAnswer: l**(-113\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.0230908 months to millennia.\nAnswer: 0.0001685909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -26. What is the least common multiple of 5 and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -18*u. Let p(l) = 23*l**2 - 3. Give v(p(y)).\nAnswer: -414*y**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300, -260, -202, -120, -8, 140?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2528507955?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7476, 15745, 24014?\n\"Answer: 8269*k - 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52129 and 17864.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 3047.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9204 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 35 - 27 - 2*k**3 - 8*k**2 + 2*k**2 = 0. What is k?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-504)\/(-16))\/7)\/(4\/(-8))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 236, 475, 714, 953, 1192?\n\"Answer: 239*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.50919705 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 + 3*x**3 - 2*x**3)*(-2*x - 2*x + 5*x) - x**4 + x**4 + x**4 - 2*x + 2*x - x**4 - 3*x**4 - 4*x**2 + 6*x**2 - 3*x**2.\nAnswer: -2*x**4 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 70048*a - 140113. What is r(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 105*j**2. Let i(a) = 41607 - 17*a**2 - 41607. Determine i(p(t)).\nAnswer: -187425*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*k**2*x**6 + 773*k**2*x**4 - 9*k**2*x + 124*k**2 + k*x**2 wrt x.\nAnswer: -1080*k**2*x**3 + 18552*k**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-3))\/2*17. Let o = 76\/3 - c. Solve -7*m**3 - 4*m - 50\/3*m**2 + o = 0.\nAnswer: -2, -2\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**4 - 2*w**4 + 0*w**4 + (-507*w + 241*w + 412*w)*(9*w**3 + 8*w**3 - 7*w**3).\nAnswer: 1462*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 15 = -6, -2*m - 11 = -5*n. Let q be ((-155)\/20)\/(m\/3208*-1). Let k = -7921 + q. Round k to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 + -14.3. Let w = h + 14. Suppose 0 = v + 2*v - 6. Which is smaller: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (5 - 4) - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 + 263*q**2 + 134*q + 396. Let v be t(-131). Which is the biggest value? (a) -3.3 (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 2\/(-21) + (-1337)\/(-147)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -41\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 657 - -1301?\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/4)\/5 - 60\/(-16). Solve 0*b = -j*b + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60.2 + 54. Let y = t - -1.2. Let b = -43 + 44. What is the closest to -1 in 0.5, y, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 45. Is ((-1)\/((-1)\/q) - 2)*-11 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 5:53 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 122*x**3 - 13*x**2 + 50*x - 145. Is 3 a factor of p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14066 - -14058. Let o(m) = m - 16. Determine o(t).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9 or -9\/33491?\nAnswer: -9\/33491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11873290 + -45817.818.\nAnswer: 11827472.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*(5*-3*(sqrt(468) + sqrt(468)*-1*2) + 5))**2.\nAnswer: 90000*sqrt(13) + 10532500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 48*o + 104. Let i be r(50). Solve -4*k = -3*k + i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5358*g + 5323*g - 10894*g to i + u*g and give u.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(300)*-2 + 2 + sqrt(300) + (sqrt(300)*-5 - sqrt(300))*6)**2.\nAnswer: -2220*sqrt(3) + 410709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1579\/1940 + -27\/1940. Find g, given that -28\/5 - 24\/5*g + l*g**2 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 185 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8*y - 1435 = -5*y, 0 = -z - 4*y + 723. Let n = z + -495. What is the highest common divisor of n and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 134 - 133.27. Let o = t - 0.23. What is the closest to o in -0.1, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quuuuuqu. What is prob of picking 2 q and 2 u?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4881631, 4881501, 4881281, 4880965, 4880547, 4880021?\nAnswer: 4879381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44016 and 44016.\nAnswer: 44016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -661 - -591.6. Let w = v + 70. Let z = 107 - 109. Sort w, z, 0 in descending order.\nAnswer: w, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + j**2 + 205. Is z(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 8*p - 5, -2*p = 5*v - 72. Suppose 0 = -13*l + v*l. Solve -u - h = 0, -h - 3*h = l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -26*o + 6. Let n be h(1). Let t be (1 - 4)*n\/(-6). Let d be (t\/(-25))\/((-3)\/(-105)). Calculate the highest common divisor of d and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 38. Let n = -162 + 184. Calculate the smallest common multiple of a and n.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-16) + (-282)\/96 + 46 + 4.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/16000 and -89\/32?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - r - 23. Let f be w(6). What is the remainder when ((-452)\/(-10))\/(f\/(105\/6)) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**5*c))**(-1\/28) assuming c is positive.\nAnswer: c**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 5313 = -3*v + 5269, 0 = f - 4*v - 5 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -105 or -106?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76 - 17 - 2*k - 13 + 119 + 36 to m*k + d and give d.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 45 (b) 2\/7 (c) -4 (d) 2\/13 (e) -13\/4 (f) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-85))\/(27\/(-60))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3030 + -1393. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a - 15?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/6147 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 7 = -3*d, -d - 3*l + 0 = 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -116 - -60. Let t be 122*(14\/r)\/((-1)\/4). Let a = -118 + t. Let i(w) = w**3 - 5*w**2 + 2*w - 4. Calculate i(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3491 + 2609. What are the prime factors of x?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 915 a factor of 83270206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 690 + 3877 = -2*k, -3*k + 1537 = -y. What is the common denominator of -125\/6 and (-4)\/(-14) + y\/20650?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 123 and 141963 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5277981 and 9?\nAnswer: 15833943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -457 - -871. Let d = 2896\/7 - o. Which is the biggest value? (a) -2 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 - 8*y + 17. Let s be j(-12). Let o = -267 - s. Let h = 117 + o. Is 25 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 3*t**2 - 14*t - 16. Determine z(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**4\/12 - 6*m. Let q(o) = 2*o. Calculate q(z(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7 and 0.0847426798.\nAnswer: 0.7847426798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -31952 > -31913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 116*j**2 - 17 + 49 - 8*j - 13 as t*j + i*j**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 9*x**2 + 9*x + 17. Calculate the remainder when 59 is divided by y(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooof when four letters picked without replacement from {f: 7, x: 9, o: 3}.\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 35539, 48 in decreasing order.\nAnswer: 35539, 48, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/1*(1 + 0)*-1. Suppose -b*a + 12 = a, 4*a = -2*t + 14. Let f = 0 + -1. Are t and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-10\/9))**(1\/52)*(o**(-2\/53))**(-1\/14) assuming o is positive.\nAnswer: o**(97\/173628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, g: 3, k: 3}. Give prob of sequence gkk.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1870.5 - 2023.5. Do k and -0.48 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -214, -386, -536, -658, -746?\nAnswer: -794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 244 = -8*s + 4*q + 242, 0 = -4*s - 4*q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*a - 1, 3*d - a - 4 = -0*d. What is the nearest to d in 0.1, -2\/13, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 11. Let m(f) = -f - 5. Suppose -11 = 15*a + 34. Give a*p(o) + 7*m(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (17 - 1) - 2. Let y = 2836 - 17105\/6. Calculate the common denominator of y and (-2)\/(-4) + 52\/o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 - 0.2. Let q = o - 0.3. Let n = q + -0.4. Are 1 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 14*a = 660. What are the prime factors of a?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36281)\/(-25915))\/((-49)\/30)*(-14)\/153.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 4, q: 2, p: 1, j: 2}. Give prob of sequence nm.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4)*r**(-3)*(r*(r\/(r*r*r**24*r))\/r)**(1\/12) assuming r is positive.\nAnswer: r**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1580 and 63042?\nAnswer: 630420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 divided by 59?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*p**3 - 40*p**3 - 2 + 2.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -236992\/17 and -13942 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a litre in millilitres?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 12 + 24. Let w be 33719996\/l + (-10)\/(-15). What is w rounded to the nearest 100000?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 64*b - 66. Let f be t(-10). Let a = f + 1427. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 29. Which is the closest to -0.1? (a) 0.1 (b) d (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 24, -0.1, 0.0771.\nAnswer: -0.1, 0.0771, 2\/15, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 10:53 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-9)*74*1)\/(984\/(-4428)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 0*c**2 + 0 - 1\/24*c**4 + 5*c + 3\/2*c**3 + 11\/120*c**5. Let b(m) be the second derivative of x(m). Give b(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = -6*p - 157. Let x = -63 - p. Solve x*b + b = 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -22*l + 1\/6*l**3 - 13\/2*l**2 + 0. Let k be d(12). Do k and 2\/55 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 863 = -6*r + 2639. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 f when three letters picked without replacement from sjfsqffsfssjjsvs?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 309, 1247, 2799, 4959, 7721?\n\"Answer: -f**3 + 313*f**2 + 6*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -583*f + 584*f - 2172 = 4*k, -5*f + k + 11031 = 0. Is 48 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) -1 (c) 0.052709 (d) -2 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-5 + -12) - (15 - 2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5. Let i(d) = 2109*d - 21. Determine -i(q) - 4*j(q).\nAnswer: -2109*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149990, -600066, -1350188, -2400350, -3750546, -5400770, -7351016?\nAnswer: -9601278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36935429\/2624 - 14076. What is the common denominator of 119\/12 and y?\nAnswer: 7872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/5 + (-4)\/(-10). Let o = 1.2 - 0.2. Is o greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -240 - -258. What is the remainder when 282 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 15 + -13 - 14\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6771 or -6767?\nAnswer: -6771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 9:13 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530459023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 7) in base 4?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -94, -76 in increasing order.\nAnswer: -94, -76, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6005.\nAnswer: 5, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*x = 194, -x + 0 - 2 = 0. Suppose -24 = -2*h - 3*s, -3*h - s = -20 - 23. Suppose -l = -r + h. Is 43 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42227*r**3 - 6*r + 1231 wrt r.\nAnswer: -253362*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 8. What is the tens digit of (-3 - (-86 - -4))*o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1 = -304. Let f = q - -69. Let x = f + 45. Calculate the remainder when x is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19.296 + 0.296. Which is the closest to 0? (a) n (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gscggfwffcfvf. What is prob of picking 1 g and 1 c?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9848 + -0.0252. Let s = -0.01 - p. Let l = s + -2.3. What is the smallest value in -3, l, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*(-2 + 2 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170233.\nAnswer: 7, 83, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 544, -5\/251?\nAnswer: -5\/251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 10:38 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -24, -109, -300, -639?\nAnswer: -1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041849 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*a**5 - 2545*a**3 + 2545*a**3 + 4*a**5 + a**5 - 4*a**5 + (-a**3 + 4*a**2 - 4*a**2)*(1 - a**2 - 1).\nAnswer: -50*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*n + 89935384 - 89928622 = 0 for n.\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0166 rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (790 - 789 - 48*c**2 + 2*c**2)*(-18*c + 9 - 9).\nAnswer: 828*c**3 - 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4\/2 + 7*o**3\/2 + 11*o**2\/2 + 5*o\/2 = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 0*y + y + 0*y - y + 2*y - 2*y + 3*y - 2*y + (-2*y - 3 + 3)*(0 - 1 + 3) + 6*y + 0*y - 4*y + 374*y + 274*y - 149*y)*(-3 - 1 - 1).\nAnswer: -2500*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 3:49 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 301, 2301, 7725, 18283, 35685?\n\"Answer: 285*m**3 + 2*m**2 - m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3020 is divided by 427?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8375?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 10 = 0, -t - 2*h + 18 = 3*t. Suppose -2*f + 2*o = 7*o + 5, 3*o + 3 = 5*f. Suppose f = v - t. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5 + 213*c**4 + 8576*c**3 - 18012*c**2 = 0.\nAnswer: -158, -57, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 15*v**2 - 9*v - 1. Let f be w(13). Let u = 692 + f. List the prime factors of u.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -423*g - 1686. Let v be a(-4). Let l be ((-35)\/14)\/((-2)\/4). Solve l*y + 1 = -2*d, -v*y = -y - 2*d - 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*w + 636*w + 188*w + 8*w.\nAnswer: 786*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -4 + -3)*(-5 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -301*h*m**5 + 3*h*m - 11*h + 3*m**5 wrt m?\nAnswer: -6020*h*m**3 + 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 49*j**2 + 60*j + 503. Determine y(-50).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -18. What is the second smallest value in 8, -1\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a factor of 11166232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -81577, -81583, -81601, -81637, -81697, -81787?\n\"Answer: -w**3 + w - 81577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83884 and 168706.\nAnswer: 105609956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.55 + -7.95. Let i be (-5)\/6*9*3\/30. What is the closest to -1\/3 in i, -29, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5648292724 to the nearest integer?\nAnswer: 75155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -7, -32, 739 in decreasing order.\nAnswer: 739, 6, 1, -7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -5, 5 in ascending order.\nAnswer: -5, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11926554 divided by -17?\nAnswer: 701562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - x - 51 = 2*x, -5*x = -3*i + 76. Let h = -302 - -307. Suppose -f + 5 = h*v - i, 0 = 5*f + 15. Do v and 7 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 + 4*c**5 - 5*c**5 + (c**4 - c**4 + 2*c**4 + (-3*c**3 + 0*c**3 + 2*c**3)*(-c + 3*c - 4*c))*(2*c - 6*c + c).\nAnswer: -14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3359\/3 - -1120. What is the smallest value in -37, m, 0, 2?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + -151 + 141?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/9 + 1258448*p**2\/9 - 2517040*p.\nAnswer: 4*p*(p - 18)*(p + 314630)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9345 - 5?\nAnswer: 9340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a - 3. Let f(h) = 499 - h - 991 + 493. Let y(s) = 3*f(s) + v(s). Let m(r) = 9*r**2 - 1. Give m(y(b)).\nAnswer: 36*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.038 + 1.862. Let y = g + -7.4. Let i = y + 6. Which is the nearest to 0.1? (a) -0.2 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*h + 4809 = -332*h for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0, -19\/65, 58, 0.4?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21742961 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300.71*-89.\nAnswer: -26763.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.33 and 74945542420.11.\nAnswer: 74945542419.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 949.5 + -949.556. What is the closest to -3 in -1\/2, -0.3, 0.3, o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 99592689?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2910 - 2909.6. Let z = -0.08 - 4.92. What is the nearest to 1 in 2.2, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1148531?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 13*o**2\/2 + 369. Let a(l) = 76*l**2. Determine a(k(m)).\nAnswer: 12844*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 4*h + 18*h.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7879, 17992, 30339, 44920, 61735, 80784?\nAnswer: 102067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p**4 - 12*p**3 - 375*p**2 - 348*p = 0. Calculate p.\nAnswer: -4, -1, 0, 29\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 3\/4, 1\/11, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/3 + (-1)\/(-3). Is 3 a factor of w\/(9\/6) - -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380808 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**2\/2 + 11*s - 6. Let b be c(6). Suppose 4*t + t - 25 = 0. Do t and b have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8600335877?\nAnswer: 7, 1663, 738797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328 = 61*g - 397 + 237 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 12:56 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -54571\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 251544 and 10904.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(-2) - (-1)\/2. Suppose -p - m + a = 4*m, -27 = -4*p - 3*m. Find the third derivative of -4*u**2 - 6*u + p*u + 3*u**2 + u**4 wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-15))\/(2\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 272632491 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: 738309.3 * 2\nAnswer: 1476618.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*c - 2*x - 16, 0 = -5*c + 4*x - 28. List the prime factors of -2 + (17 + -3 - c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.4 rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(396) - sqrt(396)) + -3 + 4)*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) -4\/3 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10976500 to the nearest 10000.\nAnswer: 10980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = 2*t. Let o = 5225185\/129 - 40505. Let h = -1\/43 - o. What is the second biggest value in 0.4, t, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - m + 129 = 0, -3*t + 2*m + 95 = m. Suppose t = 2*y - 40. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 319 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -3. Suppose 0*q - r + 165 = y*q, -q = r - 29. Let m = q - 16. What is the smallest common multiple of m and 46?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 3800*g**2 - 134223*g - 66. Give w(35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-8\/5))**(9\/5))**4 assuming s is positive.\nAnswer: s**(468\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(675)*-2 + 3 + (sqrt(675) + 3 + sqrt(675))*-5*-2)*-4)**2.\nAnswer: 285120*sqrt(3) + 3516624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -254 - -261. Suppose -y*a + 48 - 48 = 0. Solve 3 = -3*c - 5*v - 12, -2*c - v - 10 = a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/8 + 1355\/20. Let t(l) = -7*l**3 + 4*l**2 - 5*l + 5. Let q be t(2). Let o = q + k. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -3, -157\/5.\nAnswer: -157\/5, -3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 0.2, 792, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 526.076544 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/7))\/(i\/(i**(-2\/9)*i*i)*i)*i\/(i*i**(-9))*i**(21\/5) assuming i is positive.\nAnswer: i**(4448\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1520848.4005078 - 1520839.3. Let y = n + -9.20051. Let h = y - -0.1. Round h to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2102460957 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**3\/r*r*r*r*r*r**(-3)*((r**(1\/3)*r)\/r*r)\/(r**(1\/4)\/r) assuming r is positive.\nAnswer: r**(61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10495212 and 716706?\nAnswer: 913083444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 26*r + 8520 = -30*r, -21216 = -5*l - 4*r. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/5, 136, -6\/11, -8, 5 in increasing order.\nAnswer: -8, -3\/5, -6\/11, 2, 5, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10 = q, 5*v - 2*q - 1 = 12. Let j be (2 - v)*(24\/4)\/(-3). Solve -j*c + 8 + 2 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + 6*3*(-3*sqrt(1539)*-2 - sqrt(1539))))**2 + 5.\nAnswer: -1620*sqrt(19) + 12465906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2696596 take away -26677886?\nAnswer: 29374482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 4. Let f(d) = -124*d - 17. Determine -f(z) + 4*j(z).\nAnswer: 120*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 7. Let o be b(-7). Suppose o = -2*y - x + 2, x - 2 - 2 = -3*y. Suppose -2*i + 2 = -a + 8, 4 = 2*a + 4*i. Put -2, y, a in decreasing order.\nAnswer: a, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19732 - 8879. Let u = a - 390739\/36. Find the common denominator of u and 29\/(-5) + 1\/(-4).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34776 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 392.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50.9999741 + 51. Round a to six dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**3 + 416*m**2 + 84*m + 93. Calculate o(-83).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -19) + -1 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 11. Let v(c) = -c + 3. Let m(o) = -o + 5. What is j*m(k) + 5*v(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Suppose 0 = 5*y + 2*c - 232, 2*y + 0*c = -4*c + 80. Let h be -4 - (2 - 284\/y). Is h less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2. Let m(h) = -8*h + 6. Let o(a) = -a + 1. Let p(r) = -m(r) + 6*o(r). Calculate y(p(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2258257 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(26\/((-23166)\/(-825)))\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 111903945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-7))\/((-4)\/28). Suppose 0 = -4*p - 0 - 108. Let s = -24 - p. Solve 0 = 2*w - s*w + y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 3) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9c3 (base 16) to base 15\nAnswer: b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + f + 5*k + 15, -4*f = -4*k. Which is bigger: f or -7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - o = -91, 0 = 3*n - 2*n - 2*o - 28. Suppose n = 4*m - 2. Is (28\/m)\/((-2)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000138707 to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 423 and 1899082?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 254101 (base 9) to base 12\nAnswer: 75091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**3 + 1144*i**2 + 3508*i - 11560 = 0. What is i?\nAnswer: -5, 2, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 4306174*y**2 - 8612351*y - 4306176.\nAnswer: (y - 4306176)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 218026869.538 and -0.5.\nAnswer: 218026869.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 727985.1ml in litres?\nAnswer: 727.9851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 456576 to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/11)\/((-1662)\/(-12188)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 15 = -5*s. Suppose 6 = i - s*i. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 24 + 14*x**3 + 2*x - 7 - 11 - x**2 to the form s*x**3 + r + k*x + y*x**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -993\/8 + 124. Suppose -2*c - c = 2*p - 12, p = -5*c + 13. Let w = c + -1. Is a greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5941 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 4bb8?\nAnswer: 5002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726 is divided by 193?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13212.40032 seconds to weeks.\nAnswer: 0.0218459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17.9+-1873.735637\nAnswer: -1855.835637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 2*v + 1 + 6, -18 - 3 = -4*z + 5*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 5*t**2 - 12*t + 2. Let g(s) = -s**3 - s**2 + 4*s - 3. Let o be g(2). Let a be v(o). Let c = -12 - a. Is c bigger than -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + c**2 - 21*c - 1. What is k(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*u = 2553, -m - 13*u + 14*u = -516. Let n = m - 508. Let q be ((4 - 1) + 1)\/(-1). Sort q, n, 2, 0.\nAnswer: q, 0, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 + 7 + 5 - (-1 + 1). Solve -3*f - f + y*h + 17 = 0, 3*f + h - 3 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14824097?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4812 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80940 divided by -6.\nAnswer: 13490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -401*m - 2215. Calculate the remainder when v(-23) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(2*z**5 - 2*z**5 + 2*z**5) - 2*z**5 + 0*z**5 + 3*z**5 + (-z**4 + z**3 - z**3)*(-5 - z + 5).\nAnswer: 4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/14))\/b**11 assuming b is positive.\nAnswer: b**(-143\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4208 + 2584. Let v = p - -794. Let i = v + 830.00001022. Round i to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -125 smaller than -445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 3958132907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -10*m - 121. Give t(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxr when three letters picked without replacement from ooooooouxorxouutour?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 3.0614.\nAnswer: 0.61228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 1440496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(7\/8))\/a*a)\/(a*a**(-4\/5)))\/(a\/a**(2\/25)*a**(-1\/9)\/a) assuming a is positive.\nAnswer: a**(209\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26698687 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 940 and 50.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -333*o**2 - 45507*o - 11. Let f(l) = l. Give g(f(s)).\nAnswer: -333*s**2 - 45507*s - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*d - 32 = 0, -4*d = 4 + 8. Let j(z) = -19*z - 112. List the prime factors of j(p).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.051, 5, 4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v**2 - 6*v**2 - 9*v**2)*(54 + 14*v - 54) to k*v**2 + f + m*v + o*v**3 and give o.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 12:45 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1692836.99 - -20.\nAnswer: -1692816.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -106.497553\nAnswer: 425.990212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 315 and 7884900?\nAnswer: 55194300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (6 - (6 + -2) - -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664924*u - 664870*u = -1134 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 2\/7 (b) -0.2 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3699994*m**2 - 7*m - 5. Let z(s) = 3699995*s**2 + 6*s + 4. Let t(u) = -5*a(u) - 6*z(u). Let g be t(1). What is g rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 485, 484, 481, 476, 469, 460, 449?\n\"Answer: -n**2 + 2*n + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbukkpuuukpblbbl. What is prob of sequence bbp?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*k + 3 + 46*k - 1759*k**2 + 57*k + 264*k**2 - 152*k in the form u*k**2 + v*k + y and give u.\nAnswer: -1495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 663.2 - 1226.3. Round m to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 29 = 2*c, 4*c = 2*d - 5*d + 23. Let r = -2 + 6. Suppose 13 = -r*s + 33. Solve -3*p + n = c*p - 20, -s*p - 3*n = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**4\/24 + 2*b**3 - 102*b**2. Let l(c) = 3*c + 20. Let u(t) = -4*l(t) + 7*z(t). Let f(w) = -w. Determine f(u(o)).\nAnswer: 5*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -48\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 316 - 95. Let x be 26\/z - (-8)\/221. Sort -2, x, 0.4 in decreasing order.\nAnswer: 0.4, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + (3 + 2 + sqrt(684) + -3 - ((3*sqrt(684) + 4 - sqrt(684)) + sqrt(684) + -4)))**2.\nAnswer: -480*sqrt(19) + 13760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 7*s**2 + 2*s - 6. Let n be g(7). Let x be (-1)\/(-10)*n\/14. Suppose 1893*v + 5 + 0 = 1 + 4. Is v at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -651, -552, -453, -354, -255?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 55?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 3*z - 2*z + 2*z - 10.\nAnswer: -3*z - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k**3 + k**2 - 8*k + 13. Let o(t) = -t**3 - t + 1. Let y(n) = -a(n) + 6*o(n). Let f be y(0). Put f, 4, -5 in ascending order.\nAnswer: f, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, o: 4, y: 1, a: 9, b: 1}. What is prob of picking 1 b and 2 z?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3380*d**3 - d**2 + 41355*d + 259752093?\nAnswer: 10140*d**2 - 2*d + 41355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y + 41. Let l be a(0). Let r = l - 30. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -3. Let o(a) = 4*a - 6. Give o(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3110 is divided by 112.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -9617.\nAnswer: 19234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, 4, -186, -21 in ascending order.\nAnswer: -186, -21, -8, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + 43 - (-2*1 - 0). Calculate the highest common divisor of r and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24071, 24083, 24107, 24149, 24215, 24311, 24443?\nAnswer: 24617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/(-3) - (134 + -50 - 71)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 3*r**2 + 4. Let d be n(-4). Suppose -c + 4*l - 16 = -2*c, -5*l = -d. Suppose -3*i + s + 964 = c, -3*i + 2*i + 325 = -4*s. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d\/(d**(4\/13)\/d)*d*d*d)\/d))**50*(d*d**(-20))**(1\/3) assuming d is positive.\nAnswer: d**(-7447\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 13278\nAnswer: 37\/13278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aga when three letters picked without replacement from {g: 12, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*j - 12. Suppose -3 = -j*p - p. Let n = p - -2. What is the remainder when 5 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30062 (base 7) to base 12\nAnswer: 423b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 140 - 978\/7. Suppose u + 0*i = -3*i - 15, -20 = 4*i. Which is the closest to 0.2? (a) u (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqag when four letters picked without replacement from wxaafwwgfqwwf?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 4320655330 and 8781.\nAnswer: 4320664111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (-30 - -62) + 5 + -11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18152088 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 + 3 + (16 - (-8 + 31)) + 5.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.821 take away 0.00152?\nAnswer: 4.81948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-8)*(-32)\/(-3)*10\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 12*p - 43 + (-1 + 4 - 1)*(0*p - 2*p + 3*p) + p - p - p)*(0 + 1 - 3)*(-4*p + 2*p + 3*p).\nAnswer: 22*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.34749739 + -193.65247171. Let m = 455 - 260. Let b = m + k. What is b rounded to 6 dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(160))\/(-5*3*sqrt(8)).\nAnswer: -2*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a day?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1099 less than or equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 0*k - 12*k**2 - 17\/12*k**4 + 0 - 1\/30*k**5 + 0*k**3. Let q be h(-17). Solve -3*v + 3 = q, 5*d - 2*v = -0 + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c = -11*c - 20. Suppose -98 - 38 = -c*p. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 16*t + 31. Let g be b(-14). Suppose 5*n = -f + 321, -g*f + n - 241 + 1124 = 0. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 3:10 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 2\/3*n**4 + 1\/3*n**5 + 8\/3*n**2 - 4\/3*n + 0.\nAnswer: n*(n - 2)*(n - 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p - 8. Calculate r(13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 371 + 539100\/(-2100) - (-12)\/7\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -86, -254, -562, -1052, -1766?\nAnswer: -2746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -15*2*(-2)\/12. Suppose u = a + 9, 0*a = 3*a - i*u + 35. Let w(g) = -3*g**2 + 8*g + 8. Let r(n) = -2*n**2 + 5*n + 5. Determine a*w(o) + 8*r(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -21.44.\nAnswer: -21.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(-5 + 10)\/(-70). Sort l, 2\/19, 130 in ascending order.\nAnswer: 2\/19, l, 130","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {q: 7, k: 3, e: 4}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -217\/1700 - -1\/100. Let f = 1 - 1. What is the second smallest value in t, f, 2, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -b - 3*g, -5*b + 0*g = -3*g + 14. Let k(l) = 25*l**2 + 2*l + 2. Is k(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(-51) - 35\/(-153) and 2\/(-6)*12*26\/936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 48.69 (b) 113 (c) 1\/4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10*g - 80. Let s be 13 - -1 - (-4 + 4 + 0). Let p be t(s). Calculate the greatest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/13, 0.71, -5115.811?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (22 + -28) - (3 - 6) - 25.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 20 = 5*j, 2*j = l + 3*j - 4. Let w = -0.7 + 0.3. Let b be (8\/(-6))\/((-10)\/6). What is the third biggest value in w, b, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 833. Let j(s) = -4*s**2. Give j(r(a)).\nAnswer: -4*a**2 - 6664*a - 2775556","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus 6179327145?\nAnswer: -6179327144.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 94*b - 24. Let m be u(5). Suppose -2*f = -o + 1299 - m, -4*o + 3412 = 2*f. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14718950 and 16190845?\nAnswer: 161908450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10296032 is divided by 55.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.085 and -58.\nAnswer: -4.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8123, -8105, -8087?\n\"Answer: 18*d - 8141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0416+24269702\nAnswer: 24269702.0416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -27. Suppose -3*f - 5*l + 14 - 2 = 0, f - 4 = -5*l. Sort f, -2\/5, v in increasing order.\nAnswer: -2\/5, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -6237288?\nAnswer: 1\/3118644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -232*s - 2726. Determine b(-8).\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 268, -5, 54, 3, -14 in increasing order.\nAnswer: -14, -5, 3, 5, 54, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*j**3*p - 2*j**3 + 2*j*p**3 - 687*j + 8*p**3 with respect to p.\nAnswer: 4*j**3 + 6*j*p**2 + 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uckumqmd. Give prob of sequence mc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5 = -7*k + 5*l, -2*l + 4 = 0. Solve -3*r - 12 = r - 2*q, -4*q = -k*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 7:16 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 - 132. Calculate the highest common factor of t and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 1)\/10 + (-1 - 2).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 70\/210 + 3 + 308\/12. Solve -5 = 25*c - w*c + 3*i, 2*c = -i + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 5. Suppose -3*h + u + 144 = h, 0 = -5*h - u + 180. What is the lowest common multiple of z and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -187\/8798 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-262*i + 524*i - 175 - 265*i)*(0*i + 0*i + 1 + 3*i) as b*i + p*i**2 + w and give b.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - q**3 + q**3)*(3*q**2 - 2 - 6*q**2 + 2*q**2) + 73*q**5 - 125*q**4 + 125*q**4.\nAnswer: 75*q**5 + 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -269 - -271. Let p = -0.1 - 0.1. Which is the third biggest value? (a) -4 (b) r (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d*f**3*q**2 - 12913*d*f**2 - d*q - 2*f**3*q**2 - 136*f**2*q + 9*f*q - 2*q**2 wrt d?\nAnswer: -f**3*q**2 - 12913*f**2 - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*f + 6. What is the smallest common multiple of 6 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/21*18\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1012*i + 1123*i - 56832 = 0. Solve -88 = -i*w + 490*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*m - 10487997, 5*r + 0*r + 4*m = 52439996. What is r rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04501385 - -2542374.95498615. Let h = -2542360.99979 + f. Let t = h + -14. Round t to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*g + 132 = -37*g. Put -15, g, 0, -5, 7 in decreasing order.\nAnswer: 7, g, 0, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 8570624.\nAnswer: 3\/8570624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -140.1, 76, -1, -2\/13 in descending order.\nAnswer: 76, -2\/13, -1, -22, -140.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6 - 2*k + 21 + k. Let u be a(12). Let t = 6 - 3. Solve -6 = -t*x - u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (4 - (-290)\/(-35)). Let b = 62.5 - 63. What is the smallest value in b, 0.3, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 9 = -h. Let u(t) = -7*t - 7. Let i(d) = 10*d + 12. Let r(n) = -10*n - 13. Let z(j) = -6*i(j) - 4*r(j). Calculate h*z(l) + 17*u(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/150)\/(15\/(-25)*2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108466, -108417, -108364, -108307, -108246, -108181, -108112?\nAnswer: -108039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - x. Let l be u(0). Let z be l - (2 + 1) - -4. Let q(j) = -2*j - 3 + 1 + j**2 + z - 1. Give q(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.433 (b) 0.07 (c) -2\/45 (d) 2\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 96*c - 1254. Let n be u(-38). What is the greatest common divisor of n and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 2. Let z(b) = -b**3 + 179*b**2 + 545*b + 187. Let o be z(182). Solve 0 = n + o*r - 10, 2*n = 3*r - r + v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2 + 46710937.\nAnswer: 46710939.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 64\/10 - 9\/(-15). Suppose -m - 17 = -3*y + y, -3*m + 26 = 5*y. Is k greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 m when four letters picked without replacement from {z: 1, b: 1, o: 4, m: 1, s: 5, r: 5}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 165, 180, 197, 216, 237?\n\"Answer: j**2 + 12*j + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -50390.2 to the nearest one thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((0\/3)\/1)\/((-36)\/18). Let z be 7 - (s\/(-6) + 4). Solve 0*q + z*q = 0, 5*q = y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 6 + -3 - -5. Suppose r*d - 8 = 10. Let i be -2*(1 - d) - 5. Put 0, i, -2 in decreasing order.\nAnswer: 0, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*3372\nAnswer: 168.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-23 + 15) - 15 - -53?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-7))\/((-12)\/(-10)*430\/(-602))*-57?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {v: 1, q: 1, c: 1, h: 2, a: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 259 and 14987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**3 - 18*k**2 + 51*k - 30. Let p(x) = 3*x**3 - 9*x**2 + 25*x - 15. Let a(j) = -5*p(j) + 2*s(j). Let a(z) = 0. What is z?\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 220, 1648, 5530, 13096, 25576, 44200?\n\"Answer: 205*g**3 - 3*g**2 + 2*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20508264 divided by 418536.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12714184\/3323 + -570251616643\/148617852. Let q = -1\/3727 - l. What is the common denominator of -59\/6 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 + -48. Let r = -287.5 + 304. Let m = t - r. What is m rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 364 and 365 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12460 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -429, 10, 3, -37.\nAnswer: -429, -37, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -46, -30, -30, -52, -102, -186, -310?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -70*r**2. Let a(z) = z**2. What is -56*a(v) - s(v)?\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3210 and 749.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -3, -0.03, -2714\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1074*a + 1061*a + 63544. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 114, 259, 462, 723, 1042, 1419?\nAnswer: 1854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/11, -2\/15, 1, 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 737120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -41*r + 89. Determine t(0).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 7*i**2 + 12*i + 2. Let h be y(5). Suppose -737 - 373 = -6*b. Suppose -h*o + 115 = -b. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -x + 3*x. Let v = x - 7. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 11 + -4 + (-6 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((-4 - -6) + -1 + -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmmjmjmmjmm.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159928, -159897, -159866, -159835, -159804, -159773?\nAnswer: -159742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*r**3 - 11*r - 110?\nAnswer: 9*r**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774 a factor of 584201790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by 106197.\nAnswer: 20\/15171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)*2)\/sqrt(9))\/(sqrt(3) - -1*sqrt(48)).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -128\/2511 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-4))\/(5*11\/(-110)). Sort 1, u, 1\/4, 3.7.\nAnswer: 1\/4, 1, u, 3.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 136.2 + -93.5. Let x = j + -35. Round x to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011110 + 1020120222?\nAnswer: 1012102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e (base 15) in base 7?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -17*f**4\/6 - 3508*f. Let y(b) = 6*b + 4. Determine u(y(g)).\nAnswer: -1224*g**2 - 1632*g - 544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -135*q**3 - 2*q**2 - 3*q. Let x be d(-2). Suppose l = -6*l + x. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2. Let r(i) = i**2 - i. Let v(m) = p(m) + 2*r(m). Suppose 7*w + 13 = -8. Give v(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 13004\nAnswer: -1\/3251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a - 22 = 5*q, -4 = 2*q. Find the third derivative of -8*p**2 - 4*p**2 - 538 + 17*p**a + 538 wrt p.\nAnswer: 408*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 4\/3, 0, 1.1, 0.2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*q**2 + 26*q**2 + 15*q**2 to the form c + y*q**2 + t*q and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1073, 39, 21, 5, 2.\nAnswer: -1073, -3, 2, 5, 21, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12266 less than or equal to 36800\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -45207 and -134.\nAnswer: -45341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.34808\nAnswer: -0.069616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 8*o + 240. Let l(u) = -4*u**2 - 33*u + 1080. Let q(v) = -36*b(v) + 8*l(v). Let s(a) = 2*a**2 - 14. Give q(s(i)).\nAnswer: 16*i**4 - 176*i**2 + 448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 881, 3324, 7395, 13094?\n\"Answer: 814*x**2 + x + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/2 and 73\/304.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 331426907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 6*z + 9. Let m be (4\/(-1))\/(-4)*z. Suppose -5*o - m*g = -3*o - 97, -4*g = o - 36. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -17.5. Let r = -0.5000074 + w. What is r rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/1121 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2 - 68*x - 63. Calculate i(-17).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 260456.6506 rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b - 4. Let v be (-3)\/(-6)*-2 + -6. Let o be x(v). Let p be 54\/(-45)*20\/(-3). Solve 5*g + 7 + p = -i, o*i - 4*g = 31 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 38*z - 166. Let x be l(5). Let s(a) = -a**3 - a + 1. Let t(w) = 4*w**3 + 2*w**2 + w - 2. Determine x*s(g) - t(g).\nAnswer: -3*g**3 - 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**4\/7 - 60*v**3 - 2606*v**2\/7 + 432*v = 0.\nAnswer: -7, 0, 1, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*14\/105)\/((-4)\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 7:23 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 96 - 0. Let r be (0 - 2*17)*y. Suppose -r = -5*g + 3*z, 0 = 5*g - 3*z + 2*z - 1096. What is g rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 101289266 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 308799 divided by 2?\nAnswer: 308799\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 14*s - 4. Let t be y(-14). Let i be (-9)\/4*t\/(-78). Let w = 7\/52 - i. Which is the closest to -0.1? (a) 1 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30282 and 412.\nAnswer: 60564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-63) + 561\/(-63). Is (563 - 1)\/((-6)\/m + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 4*n + 14, 104*n - 99*n = 3*x - 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*u - 19*u + 1116. Let s = -531 - u. Calculate the remainder when 31 is divided by s\/(-30) - 4\/10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*x + 1073 = 0, -2*x = 4*k + x - 856. Let f be k\/35 + (-2)\/10. Let g be 1\/(-1 + f\/5). Calculate the greatest common divisor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 9. Suppose k = -b + 4*c + 12, 5*b = -2*c - 3*c + 10. Suppose -3*p + 5*m = -p - 244, -b*m = 8. What are the prime factors of p?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y + 2 = 0. Let l = -12 - -7. Let r = -0.63 + -0.37. Which is the closest to r? (a) 1\/3 (b) l (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 5. Let a be q(3). Suppose -a*z + 11 = 3. What is the least common multiple of z and 10 + -6 - (-3)\/(1 - 0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - s + 32 = 0, 5*s + 29 = 4*a - 3. Suppose -2*q - q = -102. Let b = q + -19. Calculate the remainder when b is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -78 (b) 3 (c) 91 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 22755.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/1*(-4)\/(-48)*2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115527256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-5)\/(-22))\/(260\/(-312))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (1 + -2) - (160 + -161).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ux when two letters picked without replacement from {l: 1, c: 1, x: 4, k: 1, u: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121 + -194. Let y = t + 73. Solve 4*n + n = y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -29440\nAnswer: -88320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, 1\/5, -0.07?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7642 - 7647 + 4*s - 5*s**3 - 3*s**2 + 12*s**2 - 3*s + s to h*s + g*s**3 + b + u*s**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -749\/5 + 149. Sort 5, 1\/2, l in decreasing order.\nAnswer: 5, 1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (196\/(-6))\/(94\/(-282)). What is the highest common divisor of 1666 and x?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-9)*q)\/q)\/(q*q*q*(q*q**(4\/5))\/q*q*q))**(9\/5))**(-7\/5) assuming q is positive.\nAnswer: q**(4662\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 3*s. Let d be y(-2). Let p = -5 + 10. Suppose 5*n - 5*j - 66 + 16 = 0, 0 = 2*n + 2*j - 40. Solve -2*k = -d*i - 6, -n = -i - 2*i - p*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -1a4?\nAnswer: -1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2) + (sqrt(2) - sqrt(8)\/sqrt(4)*-6) + sqrt(2))**2*4*-4 - (sqrt(198)\/(sqrt(9) + sqrt(81)))\/(6*sqrt(11)*3).\nAnswer: -2656 + 41471*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 274 + 3 - 878*z + 438*z + 434*z. Let c be h(45). Solve -4*g - c = 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 84. Suppose 9*c - 7*c - 12 = 0. Calculate the highest common divisor of f and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 134 - 23a?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-2128)\/(-19817)) - -76?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117400034.\nAnswer: 2, 353, 166289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000065223 rounded to 6 decimal places?\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.5 - -0.5. Let v = m - 4.7. Let g = -110 + 110. Which is the nearest to v? (a) -1\/4 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-20))\/((84\/8)\/(-21)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*v + 3*v + 22, -v = 4*x - 14. Is 2 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8691 + -4?\nAnswer: 868a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v*v**(-3)))\/v))\/(v*v**(-6\/5)\/v))\/(v**(-2\/17)*v**6)*v**(-5)\/v*v**(2\/5)*(v**2)**(-7\/3) assuming v is positive.\nAnswer: v**(-4067\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18559230 is divided by 1659?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**4\/18 + 52*w**3\/3 + 2028*w**2 - 778*w. Suppose y(j) = 0. What is j?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0682704kg to tonnes.\nAnswer: 0.0000682704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t - 21. Let l be o(-21). What is the units digit of 21\/l - 645\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1763, 3517, 5271, 7025, 8779?\nAnswer: 10533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 574271 and 3837?\nAnswer: 1722813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 83400878*p**3 + 11760772*p**2 wrt p?\nAnswer: 500405268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/5988 and 53\/193113.\nAnswer: 772452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 23*c - 47. Calculate the remainder when 63 is divided by r(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -29*l + 182. Let o be n(7). Let a be (6\/o)\/(-2) - 91\/(-49). Put 0.05, a, 0.4, 0.3 in descending order.\nAnswer: a, 0.4, 0.3, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4741460580 a multiple of 5405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l = g - 3, -l - 11 = -5*g. Suppose -g*d = -10, 5*r + 8*d - 2605 = 11*d. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-35 + 20) - -2 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/24*8 - -407. Is k bigger than 410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 33*q - 1789. Determine v(55).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*o = 74*o + 1760. Let w = -221 + o. Let p(q) = -17*q. Determine p(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8064\/(-162))\/(-32)*(-4)\/(-140)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + (3*sqrt(40))\/sqrt(8) - (2 + 6*(sqrt(180) + sqrt(5))))**2 + -5)*-3.\nAnswer: -91392 - 3744*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(117)*-1)\/sqrt(9) - ((sqrt(1872) - (2*sqrt(1872)*-3 + sqrt(1872))) + sqrt(1872)))**2.\nAnswer: 102973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55215 and 2863?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - -2) + (-7)\/(-1). Suppose 7*o - 2*o - a*k = 50, 0 = 4*o + 4*k - 76. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 45 = 6*h. Let s(c) be the first derivative of -2*c**3\/3 - 11*c**2\/2 - 10*c - 1. Let p be s(h). Round p to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, -146748, -3 in decreasing order.\nAnswer: 130, -3, -146748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/3)\/((-8)\/(-102)). Find the third derivative of 3*a**4 + 34*a**2 + 42*a**3 - a**2 - 40*a**3 + q*a**2 - 1 wrt a.\nAnswer: 72*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 751 - 481. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -205*z + 4. Let p(l) = -616*l + 11. Give -11*i(u) + 4*p(u).\nAnswer: -209*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6 + 64\/(-3). Let l = 25 + t. Suppose 4 - 10 = -l*v. What is the remainder when 5 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**3\/24 - d\/2 + 19. Factor x(z).\nAnswer: (z - 2)*(z + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 15 = -5*u, 3*u + 2*u - 5 = r. Differentiate 0 + 6 - 2 + v**4 + u*v**4 wrt v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 11:03 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 200847?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -960 or -951?\nAnswer: -951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - 20 - (0 + -8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*5*sqrt(84)*2)\/(4*(sqrt(972) + sqrt(972)*1)*-5).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1367, 1356, 1345, 1334?\nAnswer: 1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 39 = 31*q - 28*q, -233*q + 237*q = b - 52 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, v: 1, i: 4}. Give prob of picking 2 i and 2 w.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7592 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipsjisi. What is prob of sequence si?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*d = 0, -3*x - 2*d = 3*d. Suppose x = f + 4*f - 15. Suppose -73 = -5*j - f. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + (3*sqrt(605) - sqrt(605)))**2*1.\nAnswer: 5445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**2 + 21*o + 16. Let g be j(-6). Let n(s) = -s - 30. Let z be n(0). Let x = g + z. What is the highest common divisor of 24 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*b**2*r**2 + 4*b**2*r + 69*b*r**4 - 3*r + 26 wrt r?\nAnswer: 66*b**2 + 828*b*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*i**4 - 1479*i**3 + 1479*i**3 + (17*i - 17*i - 4*i**3 - 2)*(-3 + 3 + 2*i) to the form j*i + a*i**4 + y*i**3 + z*i**2 + m and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2538598 + -2?\nAnswer: 2538596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/5)\/(22\/55). Let g(b) be the first derivative of -1 - b + 0*b**3 + 0*b**v + 1\/2*b**4. Find the first derivative of g(c) wrt c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * -21.474.\nAnswer: 12.8844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25065 and 1720016?\nAnswer: 77400720","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 16\/(-3))\/((-34)\/(-51)). Let d = -445 - -449. Solve 11 - 1 = -5*n - z, 0 = -d*n + 5*z - s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-14)\/(-35) - 67606\/(-110)) + 9 and 240.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-27))\/((-1)\/(-3)). Let c = 6 + 0. Suppose -4*z = -c*z - p. Sort -5, -9, 0, z.\nAnswer: -9, -5, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 211 = -204 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22\/5, -2\/9, 0.5, -2\/3 in descending order.\nAnswer: 22\/5, 0.5, -2\/9, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1356, 2707, 4068, 5445, 6844, 8271, 9732, 11233?\nAnswer: 12780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 57\/(-9)*1 + 7. Let s = 3 + -4. What is the closest to s in 4, x, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i - 4*t = -100, t - 165 = -4*i. Let z = 159\/4 - i. Put 0.5, z, -5 in ascending order.\nAnswer: -5, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3566573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8\/5, 4, 0.3, 28, -3?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 4*w = -16, -412*w + 4 = -2*m - 411*w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in 3, 0.2, -5\/3, -2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 319*g**6\/30 + 31*g**3\/2 + 3*g - 57. What is the second derivative of v(t) wrt t?\nAnswer: 3828*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110238099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6294352 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 10*z**2 + 16*z + 4. Let u be v(8). Let -i**4 + u*i**3 + 0*i**3 + 18*i**2 - 13*i**2 = 0. Calculate i.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) + 110\/(-4). Let c be (-8)\/z - 414\/(-21). Calculate the highest common divisor of 8 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 1\/12*v**4 + 0 - 4*v + 0*v**2 + 0*v**3. Let q(b) = b**2. Calculate h(q(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3*4\/21)\/((-4)\/14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.3 + 3.196. Let w = f + 10.704. Let d = w + -11. What is the closest to -0.1 in -4, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33\/20 - -9\/4. Let u = 58.1 - 57.8. Which is the closest to 1? (a) n (b) u (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 1 (c) 74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from mpuqucdd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/4 (b) 2\/9 (c) -4 (d) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1728.5843217 rounded to one dp?\nAnswer: -1728.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/((-14)\/(-5) - 3). Let l be z\/10*(-8)\/(-5). Suppose -l*c + 21 = -15. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 4*v + 10, -84*j = -89*j - 5*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(156) + sqrt(156) + sqrt(156))*5)\/sqrt(12).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 13*t - 227747. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2260038 and 14716?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30231588 and 6096?\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*p - 94 + 26, -4*c + p = -314. Does 19 divide 16\/(-104) - (-3990)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -739, -734, -729, -724?\nAnswer: -719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o + 29441191 - 29441191.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21922386 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -119796\/7 + 1438537\/84. Let t = 38\/3 - i. Find the common denominator of 25\/8 and t.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(2\/7)\/r))**47\/(r\/((r*(r\/((r\/r**(-1))\/r)*r)\/r*r)\/r)*r**(2\/3)*r)*(r\/(r*r**3*r*r))\/((r\/r**(1\/6))\/r*r)*r**(3\/7)\/(r**(2\/7)*r) assuming r is positive.\nAnswer: r**(1011\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3533 + -3417. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 6.6 (c) -1\/2 (d) 3\/4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - d**2 - d - 1. Let l(u) be the first derivative of 7*u**4\/4 - 10*u**3\/3 - 4*u**2 - 2*u - 6. Let b(c) = l(c) - 6*n(c). Calculate b(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-3))\/(0 + 52\/78).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 29*g - 8. What is c(29)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2584)\/(-3553))\/(76\/7315).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/(-65))\/((-1419)\/6149)\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10033493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -116 times -1183\nAnswer: 137228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19020605 < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 12*t + 906. Give r(-76).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7*s + 4. Let q(v) be the first derivative of -3*v**2\/2 + 2*v + 23. Let n(g) = -5*q(g) + 2*t(g). Let b(l) = 3*l - 9. Determine -2*b(f) + 9*n(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*v - 4*v - 3*v - 1 + 10*v as l + n*v and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 30*f + 4. Let b = -869 + 870. Calculate h(b).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356305 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -p + 3*n, 3*p + 3 = 3*n - 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirteen fifths of a microsecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63099.55 litres to millilitres.\nAnswer: 63099550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-77))\/((-72)\/63).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 10:24 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b - 2*b - 2*b)*(b + b + b) + 4*b - b**2 + 2*b - 7*b)*(0 + b + 0).\nAnswer: -7*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100.85 - -105. Let m = l - 0.15. What is the nearest to -1 in 3, -2\/7, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(13)) - ((5*(sqrt(13) + -3) - sqrt(13)) + sqrt(13)).\nAnswer: -4*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(198)*-4)\/sqrt(9)*2)\/(sqrt(108)\/sqrt(6) + sqrt(6)\/sqrt(3)*5).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-50)\/10 + (43 - 14). Which is smaller: 271\/12 or n?\nAnswer: 271\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Suppose -n = w + w. Does 3 divide ((-4)\/6)\/(w\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**3*w**2*x - m**3*w + 44*m**2*x - 979*m**2 - m*w**2 + 3*x wrt x.\nAnswer: -3*m**3*w**2 + 44*m**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -192*m - 1294. Calculate y(-11).\nAnswer: 818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 475 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2989 - 0.07.\nAnswer: -2989.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 7, 0, -0.8, 2\/9, -9\/296?\nAnswer: -9\/296","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(2 - 28)*-8*18\/1152. Let w(h) = -h**3 + 5*h**2 + 6*h - 4. Let y be w(6). What is the closest to 1\/2 in -0.4, v, y, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 5, 0.4, 12, 16, -0.24?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1245a5 (base 13) to base 15\nAnswer: -89c73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*p + 4*w = -44, w + 88 = 4*p. Let h(k) = -22*k**2 - 880*k + 927. Let r be h(-41). Solve -r*l = -p*l + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 17406 - 38657 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 10 - 10)*(3 - 2 + 0)*(0 - 2 - 1)*(1 - 2 - 1).\nAnswer: -36*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5400344 - 1005?\nAnswer: 5355335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(162)*-4 + sqrt(162) - sqrt(162)) + sqrt(162))*4)\/((sqrt(294) - -4*sqrt(294))*2) + 3.\nAnswer: -18*sqrt(3)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 36*l**2 - 101*l + 63. Determine d(33).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p + p - 5*p)*(-15*p**3 - 7*p**3 - 11*p**3)*(-p + 2*p - 2*p)*(1 + 1 + 0)*(3 - 23 - 4).\nAnswer: -3168*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5))**(-44)*(j\/(j*j*j\/(j*j**(-1\/4)\/j)))\/j**1*((j\/j**(1\/7))\/j**(-6))\/(j**5*j**(-2\/13)) assuming j is positive.\nAnswer: j**(-34287\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (354\/6195)\/((-1)\/5)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, r: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 2*y + 4. Let g be m(1). Solve 2*d - 23 = -3*w - 5, g*w - 27 = -5*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 289318.7 meters?\nAnswer: 289318700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/1862 and -89\/28.\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {f: 4, z: 6}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -50, -11, 64, 187, 370, 625, 964?\nAnswer: 1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 14*p + 7. What is o(-12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19552 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g + 134960 = 136144 for g.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-1\/5)*n*n)**7)**(-2\/29))**(2\/43))**40 assuming n is positive.\nAnswer: n**(-2016\/1247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u. Let j(g) = -6*g. Let x = 4 - -8. Suppose 2*n = 6*r - r, 4*n - 4*r - x = 0. Let s(d) = n*j(d) + 6*i(d). Let t(v) = -v**2. Determine s(t(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dduudddu. Give prob of sequence uud.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = q - 1199, -4*q = 5*a - 49 - 4847. Is q a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3903172605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a factor of 530270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 128583*f**2. Let l(c) = -16*c. Calculate k(l(x)).\nAnswer: 32917248*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-4)\/(-5))\/(6\/45) and (-29)\/(-2) - (-6)\/12?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 3*g = 6. Suppose g*j = -j + 141. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 58*h + 20. Let q = 57 - 55. Is k(q) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/(-10) - (-896)\/(-960))\/(-2). Which is the closest to k? (a) -0.4 (b) 0.4 (c) 4 (d) 5\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 33. Suppose -48 = -2*g - m + 34, -2*g + 70 = -2*m. Calculate the highest common divisor of h and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 8 = -4*x + 14*i, 21 = -x + 5*i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38 + 6472*f + 3642*f + 1530 + 360 + 335 wrt f.\nAnswer: 10114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -3 - -14)*(4 - (-96)\/(-18))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*((-2)\/(-4))\/(1\/((-23)\/((-506)\/22))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*sqrt(70)*2 - -2*sqrt(70)*-4)\/(2*(sqrt(90) - (sqrt(90)*-1 - sqrt(90)))) + -1.\nAnswer: -sqrt(7)\/9 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -96457, -192908, -289359, -385810?\n\"Answer: -96451*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -382*t - 229. Determine g(-2).\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or -71?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 + 7*r + 1 + 4*r**2 - 6*r**2 - 6*r + 0*r in the form p*r**2 + b*r**3 + o*r + v and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 0*v**2 + 53 + v - 54. Let f(h) = h**2 - 3 + 2*h - h + 2*h. Let d(w) = -f(w) + 3*q(w). Let n(s) = 3*s**2. Determine n(d(m)).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from xxaxs?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -2924*w**3 - 3*w**2 + 69*w - 305. Find the second derivative of o(u) wrt u.\nAnswer: -17544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 61*q**3 + 5. Let r(x) be the third derivative of 61*x**6\/120 + x**3 - 4*x**2 - 3*x - 74. Determine -6*c(y) + 5*r(y).\nAnswer: -61*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**3 - 13*z**2 + 4*z + 7. Let x(w) = -2*w**2 + w + 1. What is -c(p) + 6*x(p)?\nAnswer: 5*p**3 + p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01249 + -0.07749. Let w = n + 0.092. What is w rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 17245.\nAnswer: 17249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (1 - -2 - -1) - 4161\/(-803). Which is the second smallest value? (a) -5 (b) -16.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 191632 and 1856.\nAnswer: 766528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -343 + 347. Suppose -3*z - 3*u + 321 = 2*u, -m*z - u = -411. What is the greatest common factor of z and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1156, 2055, 2438, 2047, 624, -2089, -6350?\nAnswer: -12417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -1\/90*f**6 + 0*f**2 + 0*f**4 + 0 - 2\/9*f**3 + 1\/20*f**5 - 2*f. Determine i, given that j(i) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5803152*o**5 + 5704062*o**2 wrt o?\nAnswer: 348189120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27957345 and 44256.\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580648935.\nAnswer: 3, 5, 61, 73, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(10)\/sqrt(2)) + 5)**2.\nAnswer: 10*sqrt(19) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 285\/(-10)*286\/1716\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 4*w**2 + 4*w**2)*(179*w + 186*w - 338*w)*(w - 14*w - 2*w).\nAnswer: -810*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76998431?\nAnswer: 19, 4052549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d**(-42)*d))\/d*d*d)\/d**31 assuming d is positive.\nAnswer: d**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 482712246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (35\/21)\/(5\/6). Let h(u) = -u**3 + 4*u**2 + 2*u - 11. Let j be h(i). Is 365 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/129767 and 81\/502.\nAnswer: 259534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8276878 + -1516.\nAnswer: -8278394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824163 is divided by 14459?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 7 = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*p + 3*f, -2*f - 3 + 9 = 0. Suppose -x = -p - 11. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**4 - q**4 + 3*q**4 + (4 - 2 - 1)*(5*q**3 - 5*q**3 + 7*q**4) to b*q**2 + l + m*q**4 + z*q + v*q**3 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s - 3*w - 5814, 3*w = -s + 1930. Let j be (42699\/6)\/(2\/4). Suppose 5*t = -4*i - 16405, -j + s = 3*i - 3*t. Round i to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215587982\/3 < 71862661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + -7 - 8\/(-2). Suppose -8 = -w + y + y, -t*y = 4. Suppose 0 = -5*s + 15, w*b + 5*s - 141 - 78 = 0. Calculate the remainder when b is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7562 = -13*t - 6*t. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85f (base 16) to base 4\nAnswer: 201133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1555931?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 2*i - 3*i + (i + i + 0*i)*(-2 - 2 + 2) + 4*i - i - 4*i + 274941 - 274941 - 52*i in the form z*i + a and give z.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4 + c - 2 - 3 + 5. Suppose 3*q - 10 = -1. Calculate x(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 146?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 23. Let z = q + -30. Let g = 7 + z. Which is the smallest value? (a) g (b) 4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 52 = -4*i, -3*i + 9*k = 6*k - 57. Solve -i + 9 = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/1976 and -75\/104.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 174*i + 17. Let p(x) = -58*x - 6. Let c(m) = -8*p(m) - 3*r(m). List the prime factors of c(-1).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 126 = -0*i. Let k = -21 - i. Suppose x = 3*x + 4*u - 90, k = -2*x - u + 75. What are the prime factors of x?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 35. Let m(s) = s**2 + s - 1. What is the remainder when m(j) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 9*k**2 + 5*k - 10. Let p be s(8). Let z = p - -70. What is the highest common divisor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*p - 11*p + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*t + 6*t**2 - 2*t**2 + 15*t - 14*t + 12.\nAnswer: 4*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 3:36 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(228)*-5)\/sqrt(12).\nAnswer: 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 84*z - 54720. Calculate the highest common divisor of 40 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 1, -1, -3 in increasing order.\nAnswer: -5, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1514 + 0?\nAnswer: -1514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (5 - 4) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 4 + -4 + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -784*n - 12*n**3 - 70*n**4 - 4*n**3 + 69*n**4 - 8*n**3 - 5 - 210*n**2. Factor h(p).\nAnswer: -4*(p + 4)*(p + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112310344 - 11?\nAnswer: -112310410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j - 16. Determine w(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316 + 316 + 3*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9446792 not equal to 9446794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -6*o**5\/5 + 6*o + 2. Find the first derivative of w(q) wrt q.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.8 (b) 4\/47 (c) 0.02 (d) 0.055 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/6)\/(20\/24). Suppose 0 = -2*h - 2*h + p + 10, -13 = -3*h - t*p. Solve n + 3 = -q, -6*n = -5*n + 5*q + h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/3 + 10895*p**3 - 118701025*p**2 + 1293247667375*p\/3.\nAnswer: -p*(p - 10895)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 9 = -0*q. Let g be q*-1 + (6 - 1). Let u = 6 - g. Solve -3*j + 1 = u*n, 2*n + 3*n + 3*j = 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9555433, -9555454, -9555511, -9555622, -9555805?\nAnswer: -9556078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52521782*j**3 - 52521798*j**3 + 4*j + 16*j.\nAnswer: -16*j**3 + 20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -172\/3, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -169 + -2?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -148. Let u = 42 - 19. Calculate the remainder when r is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*y**2 - 93*y**2 + 205*y**2.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/16*6\/(-9))\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -200.4 + 200.5. What is the third biggest value in k, 0.05, 0.028?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 10*r = -105. Suppose -7 = -4*z - r*i, 0*i - 5 = 5*i. Calculate the remainder when 20 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-10)\/b))\/b)\/(b*b\/(b\/b**9))*((b*(b\/(b\/b**(5\/4)))\/b)\/b)\/(b*b*b**(-2\/27)*b) assuming b is positive.\nAnswer: b**(-181\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 86 + 27 + 66 + 35 - 84*d - 16 wrt d.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 6, b: 1, c: 1, p: 5}. Give prob of sequence bc.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*t - 32 - 5, -2*t = -q + 58. Let p be 25\/3*3*q. Suppose 4*l = -l + p. Round l to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4530235 - -2022?\nAnswer: -4524213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15346*w**2 + 265333 with respect to w.\nAnswer: 30692*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24811 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**2 - 2*z - 3. Let m be k(3). Suppose 2*t = f + 21, 2*t + 3*t + 3*f = m. Calculate the remainder when (-1596)\/(-95) - 1\/(-10)*2 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d - 483 = -23*d + 5*d. Calculate the remainder when 277 is divided by d.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g + 3*g + 2*g - 3*g + 4*g + g + (-1 + 3 - 4)*(-1 + 1 - g) - 4*g + 2*g + 3*g - 2 + 2 + 3*g in the form a + c*g and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23252429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 12:52 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/7, 0.4, -2\/3, 0, -2\/13, 0.52?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32\/20*(-7)\/((-7)\/5) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1698777 is divided by 242681?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 26 + 18 = 5*y, -4*y = -2*j - 36. Suppose 2*b + y = 0, -b - 14 = -n + 5. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7887*k - 6222*k - 4310*k to the form v + p*k and give p.\nAnswer: -18419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 21*d - 36. Calculate m(-21).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4 = 2*w, -14*s = 3691*w - 3688*w - 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 21013 (base 4) to base 14\nAnswer: 2d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.012 (b) 0.1 (c) 9 (d) 32\/7 (e) 2\/7 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, l: 3, f: 2, p: 3, y: 1, v: 2}. Give prob of picking 1 l, 1 f, and 1 p.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -84048 divided by -16?\nAnswer: 5253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*h - 55*h - 125*h + 26*h - 104*h.\nAnswer: -218*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.103, -2, 5\/2, -1, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + g = 82 + 9, 5*a - 225 = -5*g. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 1 + (-10 - -31 - (-8 - -22)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394503 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: b\"What is the qth term of -78, -69, -48, -9, 54, 147, 276?\n\"Answer: q**3 + 2*q - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -10. Suppose l*q - 28 = -4*x, 0*q + 10 = 5*q. Suppose -x*f = -66 + 6. What is the greatest common divisor of 60 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/837 and 80\/4929.\nAnswer: 44361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1237852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = y + 437822, 80*v - y - 250184 = 76*v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 4, -2.8, 186.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 906 a factor of 131956000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + 5\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -15. Suppose 39*b + 3 = 42*b - 6*a, 4*b = -2*a + 14. Sort g, b, 86 in descending order.\nAnswer: 86, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(68) - (-3*sqrt(68)*1 + sqrt(68)))\/(-6*sqrt(100)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1400 + 105114*y + 945 - 1905 - 5496 - 105115*y to the form d*y + j and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(3 + (3 - 96\/18)). Suppose -8*o + x*o + 0*o = 0. Solve -5*u - 3 + 8 = o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -95*n**3 - 15*n**2 + 9101 wrt n?\nAnswer: -285*n**2 - 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226409 - 452839 + 226426 - 20*q.\nAnswer: -20*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 102*f + 20. Let b be u(0). Solve w - 19 = -b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122169903 rounded to the nearest one hundred thousand?\nAnswer: 122200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 3\/70*c**7 - 1\/112*c**8 + 1\/20*c**5 + 0*c**4 + 0*c**3 + 0 - 3\/40*c**6 + 13*c**2 + 0*c. Factor v(j).\nAnswer: -3*j**2*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a millennium in years?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-17 - -7) + 7 + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 147 = -35. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 485726381 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000158074128 rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 363792535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -1)\/(6 + 182\/(-28)). Let i = -21 - -43\/2. Sort -1, i, k in descending order.\nAnswer: i, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18860 and 1148.\nAnswer: 132020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*m + 1896 - 1626 = -4095 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 17*w - 232 = -62 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - 2838\/(-99))*(-54)\/(-60)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h = 0. Suppose -3*j + m = -h*m - 8, -7 = -2*j - m. Let o = 3521 + -3521. Solve a = -o*z + j*z + 19, 6 = 2*z + 4*a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 39100818287 and -11?\nAnswer: 39100818298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -9*z**2 + z. Let p(b) = 8*b**2 - b. What is -3*d(u) - 2*p(u)?\nAnswer: 11*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 923095 divided by 523.\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7977c (base 13) to base 8\nAnswer: 657472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(700)*-3 + sqrt(700) - sqrt(700) - (-3 + 2*sqrt(700)))**2 + (2*(sqrt(700) + sqrt(700)*-2) - (1*sqrt(700) + 3 + sqrt(700))))*4*-6.\nAnswer: -16944 - 480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, t: 1, x: 3, m: 2}. What is prob of picking 1 m, 1 d, and 1 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 0. What is the remainder when 93 is divided by (4 - 3)*z*-3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3436*-17\nAnswer: 22.8412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 100 = -120. What is the tens digit of (-44)\/10 + (-4)\/f + 267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -4*n + 8. Let v = n - -13. Suppose -6*b + v = -3*b. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1100 and 5900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 a, and 1 i when three letters picked without replacement from {y: 3, a: 7, q: 1, i: 1, b: 1, p: 4}?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/3 - 191419*s**4\/3 - 3223359*s**3 - 161155121*s**2\/3 - 857918753*s\/3 + 156822960 = 0. What is s?\nAnswer: -17, 1\/2, 95760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2243*z + 2241*z + 16. Let l be -7 - (-6 + (0 - -3)). Let m(a) = a**2 + 4*a. Let s be m(l). Solve z*f - 3*f + 25 = s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.72 - 0.17?\nAnswer: -10.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6721.51l in millilitres?\nAnswer: 6721510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 84*c**2 + 1761*c - 48. Determine t(44).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -24, -48, -80?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 8\/7, -0.3, -98?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/47 at most 167.716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/222796 and -109\/10220.\nAnswer: 1113980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/51, 2\/19, -5, 3\/2?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7df3 + -298?\nAnswer: -808b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from goonn. What is prob of picking 1 g and 2 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.41.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.014.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1215, -1\/4, -1, 5.8 in descending order.\nAnswer: 5.8, -1\/4, -1, -1215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1149\/5 or -229?\nAnswer: -1149\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 2*o**2 - o - 2. Let r be x(-2). Suppose 0 = -4*l + 4*k - k - 24, -4*k = r. Is l greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 6) in base 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (-4197)\/(-15) - (120\/25 + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-9) - 1)\/(-19 + (-2547)\/(-135)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 8)*(-23)\/(-46). Sort a, 79, 1 in descending order.\nAnswer: 79, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41.701 + 81.7354. Let b = -0.08 - -40.08. Let s = b - m. What is s rounded to 3 dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*l = 110. Let z = 170 + l. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - 32. Let q = 42 + f. Solve 5*z + 2*j + 15 = -0*j, 18 = q*z - 4*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/25)*j**11)**(-2) assuming j is positive.\nAnswer: j**(-546\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259.34022 months to years.\nAnswer: 21.611685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16966258.\nAnswer: 2, 839, 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -39934.\nAnswer: -2\/19967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*t**5*z - 35*t**3*z**3 - 173*t*z**3 + 2*t*z + 2*t wrt t.\nAnswer: -380*t**3*z - 210*t*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1199, 4785, 10763, 19133?\nAnswer: 29895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p**2 + 2*p - 1. Let r be i(1). Calculate the common denominator of (3\/(-4))\/(r\/(-74)) and 45\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.08 (b) 14 (c) 7 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4076912114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -9*o**2 - 266*o - 1187. Determine v(-24).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -116*d + 62*d + 9012 + 155688. Calculate the remainder when d is divided by 218.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3576*u**4 - 76*u + 16?\nAnswer: -42912*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/2*(210\/(-6))\/(-1890).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 4 (c) -1.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13280 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**4 - o - 4. Let t(q) be the first derivative of 3*q**5\/5 + 3*q - 3. Let b(c) = -3*r(c) - 4*t(c). Find the second derivative of b(j) wrt j.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 106109 - 4?\nAnswer: 106105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3 - 3*f**2 + f**3 + f - f - 2*f. Let b(c) = c**2 - 7. Let t be b(3). What is o(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 + 414?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115243332 and 2436.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 1075.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1838 + 1153 - 15 = 62*h for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -642*h**5*o - 9*h*o + 3*o wrt h.\nAnswer: -12840*h**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t. Let h(s) = -s**2 + 4*s - 2. Let b be h(3). Let f be l(b). Solve -24 = -3*x + 3*a, x + 3*x + f*a = 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5410?\nAnswer: 2, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + m + 6. Let n be (-4 - (0 - -2))\/(-2). Let f be q(n). Let i = 137 - 136. Put i, -4, -3, f in descending order.\nAnswer: i, f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-1509731.\nAnswer: 603892.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1255 or 607\/133?\nAnswer: 1255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2920699 * -0.2.\nAnswer: -584139.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8075225 to the power of 1\/2, to the nearest integer?\nAnswer: 2842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39511691 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: -4.659083*-0.1\nAnswer: 0.4659083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + 0*i - 2*i)*(-4 + 3 - 5) - 4*i + 3*i - i + (-1 + 0 + 2)*(2*i + i - 5*i) in the form q + a*i and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55 and -18.5701?\nAnswer: -1021.3555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0.5. Let y = 30.212 + -40.212. Is y equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 21. Suppose -278 = t*x - 11695. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/(-112) + (-3)\/(-21)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18249 is divided by 365?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 494 divide 842889035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 15*c**2 + 630*c - 9484. What is p(15)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 4:44 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 2*r - 13\/2*r**3 + 223 + 0*r**2. Let a(k) = 0 + 2*k + 0. Calculate o(a(t)).\nAnswer: -78*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*k + 58*k - 4 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 361, -1555, -3471, -5387?\nAnswer: -7303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1463214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 58 - (-76 + 334 + -99)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3001 divided by -32?\nAnswer: 3001\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 73*u**2 + 826 + 1733 + 1489 - 314 + u - 5*u wrt u?\nAnswer: 146*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*t**3 - 3*t**2 + 3*t**2 + 24*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 134 = -3*c, 3*c - y = 5*c - 96. Let u be (-6)\/4*c\/(-3). Suppose 0 = -5*p - u, -p = 2*z - 6*z + 45. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 11:17 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50*d**2 - 145*d**2 - 67*d**2 + (3*d + 5*d + 20*d)*(2 - 2 - 2*d).\nAnswer: -218*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47296798 = -134*u + 160526798. What is u rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 222252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1828*w - 6493. Give f(4).\nAnswer: 819","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*r - 3*y - 5, -3*r + 4*y + 18 = 0. Suppose 0 = -r*h - 21 + 53. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 - 40 + 2*x**4 - 2*x + x**3 + 2*x**2 - 3*x**2 to the form a*x**2 + j*x**4 + k*x + r*x**3 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*g + 154 = -41*g + 40, 5*x - 129 = -2*g - g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.09 - 4. Let g = -34503 + 34507. Which is the nearest to 1\/2? (a) v (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of -33452*(-8)\/56*((-140)\/16)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -344 + 347. Let o = -75 + 143. Suppose m*p - 76 - o = 0. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 46 + 50. Let x = y + 36. Let w be 6\/8*x\/3. Solve g = -w*g - 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 17, z: 1}. What is prob of sequence ztt?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53231 is divided by 23305.\nAnswer: 6621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4445231 (base 6) in base 14?\nAnswer: -5b93d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 534584?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2103917146 rounded to four decimal places?\nAnswer: -0.2104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (-2*sqrt(152) + sqrt(152)))\/sqrt(8) - (sqrt(19)*1 + -4))*-1.\nAnswer: -sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -7. Let f = -1319 - -2585\/2. Let m = 26 + f. Put m, k, -1 in descending order.\nAnswer: k, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590*k - 2178 = -469*k. Let a(p) = -p**2 - 21*p - 45. Give a(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + (-2 - -27 - 14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 15 = -c. Suppose 2*w - 4*m - 30 - 46 = 0, 5*w + c*m - 255 = 0. Calculate the greatest common divisor of w and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-22)\/(-18)) + (41 - 41).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30, -127, -290, -519, -814, -1175, -1602?\n\"Answer: -33*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 30 + 2. Let j be 12*(i\/(-4))\/(-12). Let u(c) be the third derivative of -c**4\/24 - c**3\/3 + c**2. What is u(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 867 + -919 - (-1 - 44)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2637 and 477.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvivvvviivvivivvv. What is prob of picking 3 i?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 - 16*i**2 + i**2.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2619 divided by -45.\nAnswer: 291\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-38)\/(-8) - (-2)\/8. Suppose w*a - 20 = -5*t, 0 = -2*a + 5*a + 2*t - 8. Suppose j - 817696 + 37696 = a. What is j rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*b = 1129, n + 4*b - 216 = 155. Calculate the highest common factor of 120 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21266989139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 4)*(6*i - 5*i + 8*i).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 17 = -5*u, 5*v - 22 = 3*u - u. Put 0.1, 0.4, u in decreasing order.\nAnswer: 0.4, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36650 is divided by 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 612\/(-1989) + (-86)\/(-364)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - i - 3. Let v be w(0). Let y = 5.426 - 0.026. Let u = -5 + y. Which is the closest to -0.1? (a) u (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven halves of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1. Let k be (-18)\/84*(-3 + (-4)\/8). Which is the second biggest value? (a) k (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225 + 214 + 4*d - 677 + 238.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -39.24. Let p = m - 0.86. What is the nearest to p in -4, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120294\/90 - (-2)\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, p: 1, b: 2, s: 4}. Give prob of sequence bsse.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597042 is divided by 149.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7101, 28440, 64005, 113796, 177813?\n\"Answer: 7113*b**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 113 + 1347. Suppose -32 = -2*c - 24. Suppose 3*j - 186 = -5*o, -c*o + 18 - f = -5*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0.4 (c) -55 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/901 + 38683\/9010. What is the common denominator of c and -39\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 9:40 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43\/5 - 263\/30. Let n = 8 - 3. Let z = n + -4. Sort a, -0.1, z.\nAnswer: a, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*c**2 + 1 + (24*c + 12*c + 7*c)*(-2358 + 16*c + 2358) + 5*c**2 - 4*c**2 + 0*c**2.\nAnswer: 691*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from qggqjj.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*j**2 - 1925*j + 26621 wrt j?\nAnswer: 8*j - 1925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 94.15746ng?\nAnswer: 0.09415746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -20 - 15. Let u be (-2)\/i + (-46)\/(-14). Suppose -d + u = 5*o, 3*d - o - 69 = -4*o. What is the greatest common divisor of d and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-6)*58\/3*2. Let p = 58 - w. Suppose 8*l - 9 = 31. Solve 3*x + 5*a + 7 = -p, 13 = -2*x + l*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 10 = -5. Solve 3*y + 2 = -2*s, f*s + 26 = 2*y + y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41 - 41 + 4*o**4 + (2 - o**2 - 2)*(0*o**2 + 2*o**2 - 4*o**2)*(1 - 3 + 3) - o**3 + o**3 + o**4.\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 923 divided by 35\nAnswer: 923\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(1\/4)\/j))**(-33))**(15\/8)\/((j**1)**(-27))**0 assuming j is positive.\nAnswer: j**(-1485\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17345 is divided by 1229.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 7 = v, -9*p - 27 = -4*p + v. Suppose -17*w - 77 = -49 - 249. Put p, w, 3 in decreasing order.\nAnswer: w, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22316011*s**2 + 22316011*s**2 - 805*s**5 + 7571*s wrt s?\nAnswer: -16100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 901281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - (23 + -45)) + (9 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29.69 + -258.59. Let w = 429.6 + c. Round w to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w**2 - 365*w - 160. Let k be s(46). Sort -2, 3, -5, k.\nAnswer: k, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -26, -44, -64, -86, -110?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32011 + -13?\nAnswer: -32030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 4*t - 2. Suppose -4*x - c + 4 + 12 = 0, 3*x - 4*c + 7 = 0. Let v be p(x). Calculate the highest common factor of 20 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1, -0.145, -2\/5, 5, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 111021001111?\nAnswer: -111021001200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + -36. Let t = u - -179. Suppose -c - 3*d = -t, -3*d + 233 = 3*c + d. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 4.99. Let y = g + 0.11. Let p = 6.4 - 1.4. Which is the closest to -0.1? (a) p (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 + -7.8. Let q = z + 6. Which is the third smallest value? (a) 2\/3 (b) q (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**3\/3 - y**2\/2 - 29*y. What is n(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 4, -20, -47, 7, -5 in decreasing order.\nAnswer: 15, 7, 4, -5, -20, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 801*m = 1592 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18909962 rounded to the nearest 100000?\nAnswer: 18900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 1 = 10*q. Is ((-1)\/(-1))\/(q\/263) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(200)*3 + (sqrt(200) - (sqrt(200) + (sqrt(200) + -5 - sqrt(200)) + sqrt(200)))**2 + 1 + (sqrt(200)*3 + 3 - (sqrt(200)*-2 + -5))**2.\nAnswer: 730*sqrt(2) + 5290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711667628?\nAnswer: 2, 7, 3929, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/32)\/((-30)\/(-16))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1377*b - 1388*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 3*d - 1. Let q be j(3). Let u(w) be the third derivative of w**4\/8 + w**3\/3 - 13*w**2. Let i be u(-2). Is i at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5586*z - 14 = 5584*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/15 + (-9)\/(-15). Solve w + u = -2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 5*j**2 + 5*j - 2. Let s(y) = 2*y**2 - 2*y + 1. What is 2*m(n) + 5*s(n)?\nAnswer: -2*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*z**2 - 12\/5*z - 12\/5 + 3\/5*z**3.\nAnswer: 3*(z - 2)*(z + 1)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + -3*sqrt(1573) + sqrt(1573) + -1 + -2)**2*-3.\nAnswer: -4746 - 198*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3845101 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-150)\/(-126) - ((-21)\/(-9))\/7. Let -2\/7 - 1\/7*j + s*j**2 = 0. Calculate j.\nAnswer: -1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a. Let z(b) be the third derivative of 0*b**3 + 0 + 0*b - 1\/6*b**4 - 36*b**2. Calculate d(z(h)).\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 33*l - 8*l - 31725. Let i be (40\/12)\/(2\/15). Calculate the greatest common factor of i and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36085*j**4 - 34*j**3 + 3374849*j**2 wrt j?\nAnswer: -866040*j - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**2 - 7797*c + 3793626 = 0.\nAnswer: -3018, 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -9*u**5\/10 - 15*u**2\/2 - 16*u. What is the derivative of m(o) wrt o?\nAnswer: -54*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9176, 40472, 92630, 165650?\n\"Answer: 10431*q**2 + 3*q - 1258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 + -58. Let x = o + -28. Is x smaller than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 26*o**3 + 6*o**2 - 4*o + 1. Let d be ((-5)\/20)\/((-3)\/24). Is 45 a factor of t(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -15*r**2 - 5*r - 4. Let d(c) = 29*c**2 + 9*c + 7. Give -4*d(s) - 7*j(s).\nAnswer: -11*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3723 bigger than -18621\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101.629 centuries to decades.\nAnswer: 1016.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12)\/14 - (-1105)\/840 and -23\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-140))\/((-9)\/45)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/3, -32, 7\/5.\nAnswer: -32, -2\/3, 0.4, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10550 - 10553 - 167*y + 21103 to the form u + f*y and give f.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -14. Let q be 4\/i + (-12)\/(-20). Let m be -7900*(q + -3 + 3). What is m rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2240362 (base 8) in base 5?\nAnswer: -123401300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (32\/10)\/((-4)\/(-10)). Let t be ((-7)\/((-28)\/d))\/(2\/2). Find the third derivative of -2577*u**t + 2554*u**2 - u + u - 22*u**6 wrt u.\nAnswer: -2640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.14 (b) 0.05 (c) -1\/30 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/5 or -2\/85?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -9*x + 70. Let g(o) = o**3 - 17*o**2 - 20*o + 38. Let p be g(18). Let b(c) = -10. Let s(t) = p*w(t) + 14*b(t). Let z(u) = 1 - u - 1. What is s(z(f))?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**2 - 44*a + 3. Let o(k) = -3*k**2 + 12*k - 11. Let q be o(4). Let v be u(q). Solve d = -2*d - v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 d when four letters picked without replacement from {d: 9, h: 5, g: 2, c: 3}?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 87277\nAnswer: -87290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/8)*s**18\/s assuming s is positive.\nAnswer: s**(137\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2647 + -9.\nAnswer: -2656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17711?\nAnswer: 89, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*r**2 + 34*r**2 - 1 + 1 + 1 in the form g + i*r**2 + c*r and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 - 1734*o**3 - 749953*o**2 + 1505112*o - 753424.\nAnswer: -(o - 1)**2*(o + 868)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnuhnnbluunohnu. What is prob of picking 1 n and 1 u?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24664, -51511, -78358, -105205, -132052, -158899?\nAnswer: -185746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*n - 21, -6 = 5*a + 9. Solve 3 - n = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 120.\nAnswer: -17\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 203.3 + 31.9. Let x = z + -234.181. Let r = -0.019 + x. Which is the second biggest value? (a) -2 (b) r (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*z - 27 = 0, 0 = 3*i + 2*z - 3 + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccss when four letters picked without replacement from ccsscccsccscccsccc?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -571967\/112 (b) -3 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 5 (c) -4 (d) 3\/16678777\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 11) to base 14\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 6*m + 1. Let x be z(5). Let y(p) = -3*p. Is y(x) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 + 2*x**2 - 3*x**2 + 2 + 1 - x to the form r*x + p + b*x**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -126*m + 1252. Let s be y(10). Which is the nearest to 1? (a) -2 (b) s (c) -2\/3 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 12*r = -14*r - 18, -2*l + 3*r = 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 942 and 2.\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/63*-3)\/(76\/(-1064)). Let o = -0.04 - -0.01. Which is the third smallest value? (a) o (b) 1.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74777 = 27*l - 127615. What is the third derivative of -226*v - 2*v**2 - 3*v**6 - v**4 - l*v**5 + 7496*v**5 wrt v?\nAnswer: -360*v**3 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -7. Let g = 15.83 - -0.17. Let c = -17 + g. Which is bigger: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -19269 - 26289. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-101776)\/133581)\/(2 + (-5)\/3)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/2 - 234\/(-13)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j. Let q(m) = -162064*m**2. Determine q(u(y)).\nAnswer: -2593024*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 283, 2.\nAnswer: -48, 2, 283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**3 + 20*o**2 + 20*o - 91. Determine x(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9632 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.13 + 0.08. Let n = k + -0.43. Let u = n + -0.06. Round u to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**2*p**3 + 2*m**2*p**2*x + 730*m**2 + 3*m*p**3*x - m*p**3 + p**3 - 3*p*x + 10 wrt m.\nAnswer: -6*p**3 + 4*p**2*x + 1460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1832, -340, 1\/2, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 9*z + 8. Let p be y(6). Let m = p + -188\/3. Let q = -2.5 + 0.5. Sort q, 3, m.\nAnswer: q, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*m**2 - m - 3*m - 20*m**2.\nAnswer: -3*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5405 + 460 = -351*z + 2777 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105866, -423422, -952682, -1693646, -2646314?\nAnswer: -3810686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*d - 0. Suppose -d*b - 2*y = -y - 47, 3*y = b - 3. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 987*t - 982*t + 17 = z, -138*z + 5*t + 291 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k = -47*k + 138. Let j = 21 + -9. Solve -k*u = u - j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -35185827.\nAnswer: 10\/35185827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1089355 * 0.3.\nAnswer: 326806.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 2*h**2 - 5*h**2)*(0*h + h + 2*h) + (-2*h**2 + 4*h**2 - 10*h**2 - h)*(-4*h + 5*h - 2*h + (-2 + 0 + 4)*(2*h - 5*h + 4*h)).\nAnswer: -14*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.92 - -0.62. What is m rounded to one decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i - 4. Let l(z) = -10*z + 13. Let b(v) = -7*g(v) - 2*l(v). Let k be b(5). Let n be k + (3 - 1) + 3. Solve 4 - 2 = 2*u, 5*o + n*u - 12 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -171, -252, -313, -348, -351, -316?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -14*g**2 - 8*g + 15. Let h be k(3). Let a be h\/(-28) + (-2)\/28. Which is smaller: 4 or a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*c + 86 = 2*c, 3*n = -3*c + 261. Let z = n - 19. Are 211\/3 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 25 = 2*r. Calculate the remainder when 70 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 2:25 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*(a**(-1\/2)*a)\/a)\/a**(-2)*a\/(a**(-3\/7)\/a)*a\/(a\/a**2))\/((((a\/a**1)\/a)\/a)**16*(a**(-2\/7))**(2\/5)) assuming a is positive.\nAnswer: a**(2803\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-6 + -2))\/12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5005265.938 to the nearest one thousand.\nAnswer: -5005000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133239 + 395576\/3. Let t = w - -6882\/5. Calculate the common denominator of t and (-6)\/(-2) + (-43)\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*4\/48*(-564)\/(-705)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 431773, 863549, 1295327, 1727107, 2158889, 2590673?\nAnswer: 3022459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -139751602 and -3.\nAnswer: 419254806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 648326 and 0.143.\nAnswer: 648326.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/4*(-4)\/(-6). Let y = -3 + z. Let o = 1 - y. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 17 (c) 500\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(125)*2 - sqrt(125))*5 + -5*(sqrt(125) + -2 + -2 - sqrt(125)))**2.\nAnswer: 1000*sqrt(5) + 3525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15099282?\nAnswer: 2, 3, 11, 76259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x = -16*x - 16. Suppose -4*n = -x*c - 192, 3*n - 2*c - 75 = 73. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4 = -v, 5*j + 5*v = 0. Let y be j\/((-12)\/(-136))*(-15)\/2. Calculate the greatest common divisor of y and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -119*d**3 + 5*d**2 - 9*d + 33. Determine z(3).\nAnswer: -3162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -7097*s**2 + 14191*s**2 - 7084*s**2. Let h be -1 + 1 + 2\/1. Let f(w) = 3*w - 3*w + h*w**2. Determine f(q(u)).\nAnswer: 200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*d - 2*m, 2*d + 2 = -2*d - 2*m. What is the second derivative of -114*t**2 + 248*t**d - 114*t**2 + 34*t wrt t?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 299 in -0.4, -0.56, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**4\/4 + c**3 - c + 1. Let z be a(-3). Let d = -8 - -5. Does z = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3 - 1. Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 0. Let d(g) = g - 8. Let t be d(x). Let h(c) = -c**3 - 2*c**2 + 2*c + 1. What is h(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 4 + 7 - 4*f + 1. Determine h(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/75 + (3\/9 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 199\nAnswer: -5\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 42*y + 478. Determine d(-51).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 857174743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(133)*-3)\/((2*sqrt(700) - sqrt(7)) + sqrt(7)).\nAnswer: -9*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -3167*z**4\/4 - 5131*z**2\/2 - 2*z - 511. Differentiate n(m) with respect to m.\nAnswer: -19002*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280327415?\nAnswer: 5, 769, 72907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -17*y**3 - 4*y**2 - 9*y - 7. Let v be t(-3). Suppose -2*q + j + v = 0, 0*q + 4*j = -5*q + 1127. What are the prime factors of q?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*y, -4*v + 2*y - 36 = -3*y. Let l(q) = q**2 + 2*q - 4. Let d be l(v). Solve -5*n + 6*n = 5*p + 28, -5*p = -d*n + 37 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 447097307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 5:22 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5123.463 + 5126. Let v = u - 2.6. Let i = 0.02 - v. Round i to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(52) + sqrt(52)) - 3*sqrt(208))\/(sqrt(576) - 1*sqrt(576) - sqrt(576) - 2*sqrt(576)).\nAnswer: 5*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 50011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16617 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.025? (a) -2 (b) -401 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 7*n**2 - 2*n + 9. Let u be g(7). Let w(c) = c**3 - 19*c**2 - 7*c + 460. Let b be w(18). Which is smaller: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 789*n**3 - 2*n**2 + 3*n + 3. Let l(o) = -790*o**3 + 2*o**2 - 2*o - 2. What is 2*f(c) + 3*l(c)?\nAnswer: -792*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-14) - (2 - 1\/(-14)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47419*m = -45614*m - 166060 for m.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuoo when four letters picked without replacement from {o: 4, u: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (2 + 0)) + (-108)\/(-81).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 1:40 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2362 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide ((-135)\/20 + (-11)\/(-44))*-206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 14298323\nAnswer: -8\/14298323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34386 < 0.0895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.418 + 0.022. Let t = d + 0.56. What is the nearest to t in 2, 0.4, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2848509, -2848312, -2847983, -2847522, -2846929, -2846204?\nAnswer: -2845347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.22 - 1.78. Which is the biggest value? (a) -3\/4 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 6:15 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6799.142g to nanograms.\nAnswer: 6799142000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25192, -25128, -25110, -25162, -25308?\n\"Answer: -4*i**3 + i**2 + 89*i - 25278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 2, y: 1, s: 5, q: 3, k: 1, f: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - n = -2*g - 8, 0 = -5*g + 2*n + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2048 is divided by 261.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -81 and 12.27.\nAnswer: -68.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8817 in 3\/5, -2, 0.14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4922\/5 + 56462\/55. Let u = d - 42. What is the nearest to -1 in u, 0.04, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-232)\/(-12) + -3 + 2 and 17\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.812 + 3.188. Sort 2\/11, r, -10, -4, 0.08.\nAnswer: -10, -4, 0.08, 2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101967363?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 580 and 24505.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**5 + 22*h**4 - 806*h**2?\nAnswer: -120*h**2 + 528*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/20 and -71\/7238.\nAnswer: 72380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -6\/11, 2\/21, 1.4, 0.4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-1))\/l)**(-16))**39*l**4\/(l\/(l\/l**(2\/17)))*l**(1\/4)\/l**(-5) assuming l is positive.\nAnswer: l**(43053\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2259.3 to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26471, 27392, 28313, 29234, 30155, 31076?\nAnswer: 31997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 673*m**2 - 327*m**2 - 324*m**2 - 19 + 19. Let f(s) be the third derivative of 3*s**4\/8 + 3*s**2. Give b(f(w)).\nAnswer: 1782*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 87564.2 grams in milligrams?\nAnswer: 87564200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 161, 329, 497, 665, 833?\n\"Answer: 168*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + 88 = 7*y. Let p = -23 - y. Suppose 6 = -3*r + 5*r. Sort p, -2, r in decreasing order.\nAnswer: r, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*n**3 + 165*n**2 - 265*n + 90.\nAnswer: 5*(n - 1)*(n + 18)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8688818.7 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137302 = 5*n + 166*n - 141235 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 5 (c) 337 (d) -55 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65.52 - -60.52. Which is the closest to o? (a) -2\/3 (b) -4 (c) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 161360*h**2 - 10832305*h + 40747140.\nAnswer: 5*(h - 63)*(h - 4)*(h + 32339)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 - 2) + 2 - -8) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 153735479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13438*r**3 - 12238*r**3 + 25407*r**3.\nAnswer: -269*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4369331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (77 - 77 - 17*z)*((-3 + 3 + 1)*(-3 - 4 + 6) + 0 - 4 + 2 - 2 + 0 + 4)*(0 + 6 - 2)*(0 - 4 - 5)*(2*z + 0*z + z) in the form m*z + o + a*z**2 and give a.\nAnswer: -1836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 164 + -197. Let d(j) = -2*j**3 - 66*j**2 - j - 31. Let l be d(p). Is 51 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57214, -57178, -57134, -57082, -57022?\nAnswer: -56954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -7 - 4 - -3) + (1 - 12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1821, 3642, 5463?\n\"Answer: 1821*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 141827499 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -103 + 199 + 26*u**2 - 98 - 15*u**2 + 21*u = 0.\nAnswer: -2, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j - 992288 = 232181. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -37. Let i = r - 20. What is the highest common factor of 42 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 9*w**2 + 15*w + 2. Let b be u(2). Solve 2*o + 11 + 13 = -b*v, 2*v = -2*o - 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 781*q**4*y + 882*q**2*y wrt q.\nAnswer: 18744*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 304, 680, 1126, 1678, 2372, 3244, 4330?\n\"Answer: 6*p**3 - p**2 + 337*p - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeee. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 17*l - 5*b, -2*b = 123*l - 122*l + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 3*t**2 + 3*t + 1. Let v be l(3). Suppose -5*f + 35 = -v. Solve -2*h = h + f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 13, l: 5}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 118456835.\nAnswer: 118456838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 - -0.1. Which is the smallest value? (a) 4 (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1264972247?\nAnswer: 7, 11, 97, 257, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 18*s - 46. Let x(k) = k**2 + 19*k - 47. Let b(h) = -3*x(h) + 2*y(h). Let c be b(-23). Solve c*n = 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*g - 2, 7 - 1 = 3*n + 3*g. Suppose 4 = -n*j, -4*h + 3*j + 7 = -5*h. Let x be 1\/(h\/3) - 1. Which is the third biggest value? (a) -1 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 n when three letters picked without replacement from {x: 2, f: 5, a: 3, n: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 7*u - 5. Let j = -163 - -156. Give b(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171636685?\nAnswer: 5, 11, 283697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 26.69*-15\nAnswer: -400.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -4. Suppose 5*h + 0*h - 10 = w. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300.4 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 304 + -104. Suppose 5*k = -5*r + t, 89 = 4*r - 2*r - k. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 4 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4727, -9438, -14147, -18854, -23559, -28262, -32963?\nAnswer: -37662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -26, 3.2, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*47\/((-3760)\/(-64)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 74 + -1 + -36 + 56\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38840*r**2 - 83035*r.\nAnswer: -77680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 634 = 4*o, 7*o + j - 800 = 2*o. List the prime factors of o.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + 0.22. Let i = 4.7 + -0.7. Let l = 0.5 + -0.4. What is the third biggest value in l, i, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*r + 4*s = -74*r + 13, 5*s - 35 = 5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(5\/3)\/(-5)*(-1050)\/(-560)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 5*r. Suppose 11 - 26 = -5*k. Suppose 2*z = -3*n - 2, 0 = -5*z + 6*n - k*n + 16. Suppose 3*v = z + 10. Give a(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241828 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 5)*((-2*g**2 + g**2 - 2*g**2)*(-5*g + 0*g + 0*g) + 2*g**3 - 4*g**2 + 4*g**2).\nAnswer: 68*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/195928 and -35\/520999.\nAnswer: 5372541688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1109*y - 514*y + 1245*y + 1172*y + 1468*y in the form v + f*y and give f.\nAnswer: 4480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -317520*s**2 + 2*s - 84008?\nAnswer: -635040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 42. Suppose -2 - d = -4*l. Suppose 5*m + 32 = q, -l = -4*q + 2*m + 87. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b + 3*b)*(2 + 1 - 4)*(2*b - 11*b - b) + 127*b**2 + 25 - 18*b**2 - 26.\nAnswer: 129*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/16)\/m*m*m**(-1\/26))**(-1\/3) assuming m is positive.\nAnswer: m**(7\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 < -8994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 689*z**4 + 215*z**3 - 15159172*z**2 wrt z.\nAnswer: 16536*z + 1290","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6600 and 285204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/150 and 1\/90.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 9*y**2 + 28*y - 205. Let i be b(11). Suppose -350*z = -i*z - 130. Calculate the remainder when 68 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65144299.\nAnswer: 11, 31, 191039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2585 - 2573.93. Let s = 13 - l. Let i = s - -0.07. Which is the second smallest value? (a) -3 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 771 (base 9) to base 11\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 27 = c + 5*r, 0 = -c - 4*r + 46. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*v + 136*v - 1025 = 0 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2848?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-6) - 182\/(-4). Let g be 56\/1 - (-60)\/(-15). Let z be ((-117)\/g)\/((-3)\/44). Calculate the greatest common divisor of z and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-4 + -2*sqrt(2736) - sqrt(2736)) + -5)*-1 - -3*(sqrt(2736) - (4 + (0 + sqrt(2736) + sqrt(2736) - sqrt(2736))))**2*6) + 4.\nAnswer: 36*sqrt(19) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + p. Suppose p*m + 2*m - 84 = 0. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3543475, 3543492, 3543509, 3543526, 3543543?\nAnswer: 3543560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31384*u**2 + 31672*u.\nAnswer: 62768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.34 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 412125421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8\/5 (b) -25 (c) -3 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + d - 2. Let a(i) = -7*i**3 - 212*i - 12. Calculate a(k) - 6*r(k).\nAnswer: -k**3 - 218*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 9702027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414832699 to the power of 1\/2, to the nearest integer?\nAnswer: 37614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3 (b) 0.1 (c) -2\/57 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-2 + -4 + 7). Let m be f*((7 - 4) + -3). Let l(s) = s**3 + s**2 + 6. What is l(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 6:41 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197 or -194?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 - (2 + -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 12, -20, -50, -78, -104, -128?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 174.\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13106 - -52?\nAnswer: -13044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 2. Which is the second biggest value? (a) -0.5 (b) q (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1019*h**3 + 49*h + 51*h + 46*h - 146*h.\nAnswer: -1019*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyxqlya. What is prob of sequence la?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 12*t**2 + 2. Let p(v) = -6*v + 6. Let k be p(3). Let i be j(k). Solve 1 = -5*z - i*b, z + 5*b - 3*b = 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313103102 (base 4) in base 10?\nAnswer: 226514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 14 = -m, 3*g - 4*g + 4*m = -11. Calculate the common denominator of -49\/20 and (-993)\/90 + 6\/g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*m - 906 = 0, h - 3*m = -5*m - 234. Let y = h - -226. Which is the closest to -1? (a) y (b) -1\/4 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)\/(2\/(-204)). Is v + (-2 - 0) + 0 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76556986?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*((3 + 1 + 3*(sqrt(363) + 0))*6*-5)**2.\nAnswer: 475200*sqrt(3) + 5909400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 21*o**2 + 40*o + 22. Let b(s) = -5*s**2 - 10*s - 6. Let f(m) = -9*b(m) - 2*x(m). Is f(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) 2\/13 (c) 48934 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Suppose i*g + 0*g - 106 = 0. Suppose 4*m - 444 = 384. Calculate the remainder when m is divided by g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2662.5 * -5.\nAnswer: 13312.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6372676729 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6930 * -0.008.\nAnswer: -55.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(34)\/(sqrt(16)\/sqrt(8)) + -4).\nAnswer: -12 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + o**2 - o**2 + (-o + 0 + 0)*(3*o + 2*o - 3*o) + 15*o - 5*o**2 - 15*o)*((-2 - 2*o + o - 3*o)*(o + 2 - 2) - 3*o**2 + 7*o**2 + 6*o**2).\nAnswer: -36*o**4 + 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -619791 divided by 206597.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 1477797310?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/6 of a minute?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4.31531 millimeters?\nAnswer: 4315.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*l + 1. Let i(c) = -137*c - 4009. Let f be i(-29). Is l equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 108*k + 5 = 111*k, -23 = -3*f - 5*k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3630192964?\nAnswer: 2, 1811, 501131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 + 151*u - 42. Give o(-38).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267826 = -259*h + 233*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - x**2 + 6*x**2 - 3*x**2 + (-6*x + 3*x + 2*x)*(-180 - 9*x + 180))*(-2 + 0 - 1).\nAnswer: -33*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/65 and -19\/65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128683 is divided by 376171?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*w + 4*m, -w + 2 + 1 = -4*m. Let k be 2\/(-4) - w\/(-2). Let f(l) be the first derivative of 2*l**4 - l**3\/3 - 18. Determine f(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 37 = 6*w - w, 0 = 3*w + 4*o - 12. Let s be 60\/14 - w\/28. Sort s, -5, 2 in decreasing order.\nAnswer: s, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8093*f**5 - 26535*f**3 + 130400*f**2 - 842 wrt f.\nAnswer: 485580*f**2 - 159210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -10) + (-19 - (-2 - -1 - 8))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from {f: 1, e: 17, x: 1}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684536.\nAnswer: 2, 41, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -4. Let n(r) = r**2 - 6*r + 10. Let y be n(m). Solve -2*u**3 - 23*u**2 + 23*u**y = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1584932714 to the power of 1\/3, to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -274, 8302, 0.1.\nAnswer: -274, 0.1, 8302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39638539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 107913.3\nAnswer: 107913.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 4, b: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w - 3. Let o(m) = -m**3 - 9*m**2 + 4. Let s be o(-9). What is the units digit of t(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 219092 + 219056 = -2*x, -2*x = x + 5*i - 82 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3153*q - 583242. What is a(185)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.02, 2\/7, 3\/4, -199?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 171918637*j + 91690771.\nAnswer: 171918637","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334076811?\nAnswer: 3, 37, 3009701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.028 * 1261\nAnswer: 35.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + -845a?\nAnswer: -8471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 13247 + 11893 - 5281)*(0*i**2 - 3*i**2 + 2*i**2) - i**3 + i**3 - 2*i**3.\nAnswer: -3*i**3 + 6635*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223, 429, 635?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**5 + 5*u**5 - 4*u**5 + (-302*u**3 + 60*u**3 - 71*u**3)*(-2*u**2 + u**2 - u**2) + (-4*u + 3*u + 0*u)*(-3 + 3 - 2*u**4).\nAnswer: 625*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56019701 is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000141233115 rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00876229 rounded to five decimal places?\nAnswer: -0.00876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2871 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: (6\/(-8))\/(((-705)\/1692)\/(30\/351))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 39.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.5 + -228. Let o = -232 - k. Which is smaller: o or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 11. Let a = 4 + g. Suppose 5*b = -5*o + 170, 4*o + 3*b - 152 = -a. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4610616 divided by -8.\nAnswer: 576327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -267*h - 1324. Give a(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4 = 4. Solve j = 4*o + 2*k + 4, 0 = 3*o + 2*k + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17638, 70677, 159108, 282931, 442146, 636753?\nAnswer: 866752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 7. Let a be 22\/(-6) - (-2)\/3. Let l(s) = 17. Let o(r) = 5. Let f(h) = 2*l(h) - 7*o(h). Let y(n) = a*f(n) + i(n). What is y(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 4. Let v = -128 + 130. Sort v, -4, -1, m in ascending order.\nAnswer: -4, m, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.2734 + -4.353. Let t = a + -0.88. Round t to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m**(-1\/2)*m)\/m))\/(m*m\/((m*m**(-4\/9))\/m*m)*m*m))**(3\/17) assuming m is positive.\nAnswer: m**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*d + 3*a = 75*d - 35054, -5*d + 3*a + 43816 = 0. Calculate the remainder when d is divided by 127.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*p + p + 3*p)*(-414*p + 871*p + 6 - 428*p)*((2 + 1 - 2)*(-2 + 4 - 4) - 1 - 2 + 2) to the form k*p + m + b*p**2 and give b.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22605, -22636, -22689, -22764, -22861?\nAnswer: -22980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -35692 times 0.07068?\nAnswer: -2522.71056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/88 - 856\/11. Let b = -29 + o. Let i = b - -197. What is the remainder when i is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(o**3 + 6*o**3 + 8*o**3) + (-3*o + o + 3*o)*(-1 + 1 - o**2).\nAnswer: 29*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s**2 + 8*s + 5. Let r be w(-3). Let c(g) = -76*g**3 - 2*g**2 - 4*g**2 - 8 + r*g**3. Let j(m) = -m**3 - m**2 - 1. Give -c(b) + 6*j(b).\nAnswer: -b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**8\/840 - k**6\/120 - k**3\/3 + k. Let n(z) be the second derivative of u(z). What is the third derivative of n(f) wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1638 and 252.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6582001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7 + 7 = 2*w, -u = 5*w - 22. Factor 3*a**2 - 3*a**2 + w - 4*a + a - a**2.\nAnswer: -(a - 1)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(1 + 0 - 3). Let t = a - -1. Suppose -1 = v - 0. Sort v, -4, t.\nAnswer: -4, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 402\/7 (b) 2\/3 (c) 2\/5 (d) 5\/13 (e) 5 (f) 4 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 230642 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 206 - 109. Let z = -95.82 + s. Round z to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1048 + 895. Suppose i = -4*b + 3269, 4*b - z - 1306 = 3*i. Does 48 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*t + 44*t = -28*t - 492 for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 12:03 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -113153440*l**2 - 30080. Let o(t) = 22572*t**2 + 6. Determine -3*d(a) - 15040*o(a).\nAnswer: -22560*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 62 = 4*u, 147 = 4*s - 2*u + 3. Suppose 2*x + h = 3, 0*h = -5*x + 3*h + s. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(76)*-1 - (sqrt(931) + -2 + sqrt(931))) + (-4 + sqrt(2736) + 1 - sqrt(2736)) + 2)**2.\nAnswer: -1440*sqrt(19) + 121681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 792 and 12123?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jjooodjoojjojjddod?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32013686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**1\/y)\/y)\/y)**(3\/4))**3 assuming y is positive.\nAnswer: y**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2*s + 5)*(0 - 2 + 0)*(s**3 - 558*s + 533*s + 3*s**3) in the form i*s + j*s**4 + u + d*s**2 + f*s**3 and give d.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t - 16. Let l be z(9). Suppose u + 14 = l. Is (-2 - -3)*(-3 + (-6306)\/u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -1 - -2) + 6 - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 2:01 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 673993, 1347979, 2021957, 2695921, 3369865, 4043783?\nAnswer: 4717669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 424894 + -1471676. Let u = 1046779.300036 + f. Let q = -2.7 - u. Round q to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a + 3*a + 5)*(-10*a**2 + 11*a**2 - 13*a**2).\nAnswer: -36*a**3 - 60*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/12 - (-4 - 200\/(-48)). Suppose -100 = -5*m - k, -x*k = m + m - 32. What is the remainder when 246\/3*1\/2 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2 - 35260592*o - 310827337047616 = 0. What is o?\nAnswer: -17630296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2. Suppose -21*t + 30*t = 9. Let w(o) be the first derivative of 0*o - t - 5\/2*o**2. Calculate l(w(h)).\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, n: 1, k: 1, d: 1, b: 1}. Give prob of picking 1 i and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 252\/16 + 3\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 343 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h - 8. Let n(s) = 3*s + 3. Suppose -7*l + 17 + 18 = 0. Suppose -2*j = -5*j + l*c + 32, 3*c - 62 = -4*j. Determine j*n(k) + 5*f(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7470542561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l**2 - l - 9. Let x(i) = i**2 + 2*i. Let f(n) = -h(n) - 6*x(n). Calculate f(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23689492 divided by 5?\nAnswer: -23689492\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i. Suppose o + q - 3 = -o, -3*q - 2 = -5*o. Let f(z) be the first derivative of o - 1\/2*z**2 + 0*z. Determine v(f(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 35) + 672 + -607\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/23676323?\nAnswer: -2\/23676323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6664035 (base 7) to base 16.\nAnswer: c8d0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.92 + -3.57. Let w = h - 0.35. What is the smallest value in -4, -5\/4, -15\/4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 5 (b) -94 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 8, -3*f + 2*f + 88 = j. Let o(y) = 1 - 7 - 90*y + 1 + j*y. What are the prime factors of o(-15)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2 + (-16)\/(-40). Is v smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*(-6*(2 + 1 + sqrt(1539) - (-1 + sqrt(1539) + 0)) - ((sqrt(1539) + 2)*-3 + (2 + sqrt(1539) + 0 - sqrt(1539)))))**2.\nAnswer: -972000*sqrt(19) + 12825900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-528)\/(-110))\/((-4)\/(-10)). Suppose 17*d = 14*d - g. Let h(t) = -5*t + 3. Let u(s) = s. Give d*u(z) - h(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2210776 (base 9) to base 5\nAnswer: -301010202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304394953?\nAnswer: 19, 53, 302279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73227452 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.079 and -12752.56?\nAnswer: 12757.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (14 + (-12 - 14)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11928 divided by -1491.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 w, and 2 x when four letters picked without replacement from {x: 3, d: 1, u: 5, h: 1, v: 4, w: 3}?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 11:53 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(-5) - 579553\/(-545). Calculate the greatest common factor of 90 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 94 - 121 = -53 - 52 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -209, 6473, 1 in descending order.\nAnswer: 6473, 1, 0, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h - 20. Suppose s - 5 = 0, h*j = j - s + 8. Let r be 1*2 - (1 + j). Solve o + 2 = -r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81420160 rounded to the nearest one million?\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**5 + 2677*h**4 + 31*h**3 - 1083383*h**2 wrt h?\nAnswer: -120*h**2 + 64248*h + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -13\nAnswer: 21\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/2 - 151*m - 100.\nAnswer: -(m + 100)*(3*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 9*q**2 - 233*q + 1198. What is x(10)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-50)\/(-28))\/((-44)\/(-462))*(-28)\/(-3). What is the highest common factor of a and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1157.75 and 0.2.\nAnswer: -231.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 6 = r. Let a(u) = u - 2. Does 4 divide a(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2285964 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 30 (b) 2\/29 (c) -1\/11 (d) 37110\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2308*l**3 - 169*l + 2302*l**3 + 623*l.\nAnswer: -6*l**3 + 454*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3 - 6, 0 = -s + 5*j + 13. Let q be 0\/(s\/6*3). Suppose 0 = -2*h + 12 - 2, l - 3*h - 806 = q. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 20*q**2 + 500*q + 7. Give o(-26).\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7214.\nAnswer: 2, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4011 + -2014. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (26 - 4\/2). Let b = -123\/5 + h. Factor 2\/5*f**3 - b*f**2 - 2\/5*f + 2\/5.\nAnswer: 2*(f - 1)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1010?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 48. Let i = 719\/3 - 242. Let k = -0.99 - -1.19. Put i, k, v in descending order.\nAnswer: k, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 2*i**2 - 3*i**2 + (0*i + i - 3*i)*(2*i - i + i) + 5*i + 405*i**2 - 6 - 55 + 62.\nAnswer: 397*i**2 + 5*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-86)\/(-7) + (-4)\/14. Suppose i = 2*a - 0*a. Let o be (-9)\/18 - 194\/(-4). Calculate the highest common factor of a and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 54, 90, 138, 198, 270, 354?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 i, and 1 o when three letters picked without replacement from doeiedonoroeeoo?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -8) + (25 - 10) + -51.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/108*-3*108\/(-27)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-6\/7)*p)\/p**27)\/(p\/(p**(-16)*p))**(2\/13) assuming p is positive.\nAnswer: p**(-2486\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 586 + -486. Suppose -3*f - f = -40. Calculate the highest common divisor of k and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-12))**(-37) assuming t is positive.\nAnswer: t**444","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p - 5*l + 170, -2*p = -l - 83. What is the lowest common multiple of 8 and p?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-11)\/(-16))\/(20\/720)*156.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239 - 187 + 3*d + d - 52.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 1 (c) -12 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -233 + 236. Suppose 160 = -q*v + 35*v. Solve w + 5*s = -0 - v, w = 3*s - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + ((sqrt(143) - sqrt(143)*-2)*-3 - sqrt(143)) + sqrt(143))\/((sqrt(44)\/sqrt(2))\/sqrt(2)) + 5.\nAnswer: -8*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**2 - 21*m + 2. Let s(h) = -h**2 - h - 1. Suppose -4*a + 64 = 4*f + 48, -5*f + 19 = 4*a. Calculate a*k(l) + 2*s(l).\nAnswer: 2*l**2 - 23*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10831175, -10831183, -10831191?\nAnswer: -10831199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 41 = -5*k, 28 = k + u + 21 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004*u + 2*y = -1007*u - 75, -8*u + 7*y + 244 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-84)*-6*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**8\/840 + k**7\/210 + k**6\/180 - k**5\/30 - 122*k**3\/3 + 56. Let b(v) be the third derivative of x(v). Factor b(s).\nAnswer: -2*s*(s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319667.\nAnswer: 29, 73, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**4\/12 + c**3\/3 - 3*c**2\/2 - 4*c. Let i be j(-4). Suppose -x + 1 = 0, -i*r + 210 = 5*x - 60. List the prime factors of r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.8 - 8. Is 2\/7 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 184\/56 + -2*(-3)\/(-21). Let u(s) = -s**3 + 3*s**2 + 4*s + 1. What is u(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14380 - 14379. Let q = 1 - 5. Suppose 0 = -4*v + 13 - 1. What is the closest to -0.2 in v, q, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -326*v - 181 + 629 + 856 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13*(-12190)\/5083 - (-66)\/(-374)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8 - 6 + 6)*(3 - 2 + 1) + 1 - 2 - 2)*(-1 - 1 + 4)*((-z - z + z)*(-2*z + 5*z + 0*z) + z**2 - 2*z**2 - z**2).\nAnswer: -130*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 - 2 + 0*f**2 + 2*f**3 + (5*f**2 - f**2 + f**2)*(4*f + 0*f - 2*f).\nAnswer: 12*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 44?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 h, and 2 r when four letters picked without replacement from rkchehkkgerhrre?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 x when four letters picked without replacement from {x: 7, i: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (2 - (62 - -1))) + (-4294 - -4289)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1556841?\nAnswer: 3, 11, 13, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -12*v**2 - 2880*v - 2900. Let u(l) = -4*l**2 - 961*l - 967. Let o(j) = -5*b(j) + 16*u(j). Determine c, given that o(c) = 0.\nAnswer: -243, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 14*p**3 + 5*p**2 - 5*p + 1. What is the tens digit of l(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 - -68. Find the third derivative of 134*q**3 - 249*q**3 + u*q**3 - 60*q**2 wrt q.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/18 and -89\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 911 and -0.605?\nAnswer: 911.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36123839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-665)\/(-14)*4\/2. Let z = 98 - t. Suppose z*n + 10 = n. Sort 1, 17, n in descending order.\nAnswer: 17, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38743 = -21*y - 39016 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 1. Let n(v) = 7*v - 6. Let f(t) = -3*t + 2. Let r(m) = 2*f(m) + n(m). Determine 4*i(x) - 6*r(x).\nAnswer: -2*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/8*2)\/((-57)\/(-228)). Let k be (50 + -4 + -5)\/(p\/(-4)). What is the greatest common divisor of k and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332358 is divided by 203?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 16) in base 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 748167, 748155, 748143?\n\"Answer: -12*n + 748179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(-2) - (-3)\/(-6). Let u be (-7)\/(-3) + f\/9. Which is the nearest to -0.1? (a) u (b) -2\/17 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/5)\/((-13)\/65). Suppose -13 = k*t - 5*t + 4*y, -18 = 2*t + 4*y. Is t > -42\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**2 + 784534*s - 12553056 = 0.\nAnswer: -392283, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-35)*o**(1\/30))\/(o*o**(5\/4)\/o*o*o)**(-48))**(-2\/5) assuming o is positive.\nAnswer: o**(-3631\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 4:23 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1541*c - c**3 - c**3 + 495*c + c**3 - 771*c as t*c + n + k*c**3 + p*c**2 and give t.\nAnswer: 1265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -1. Suppose 0 = 2*h + h. Let a = -3 - h. Which is bigger: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -16*j**3 - 14*j**2 + 917. Let d(o) = 11*o**3 + 10*o**2 - 612. Determine 7*d(g) + 5*z(g).\nAnswer: -3*g**3 + 301","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m**3 - 3*m**2 - 2*m + 4. Let d(o) = -5*o**3 + 2*o**2 + o - 3. Let h(p) = 5*d(p) + 4*i(p). Determine h(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.91 + -0.09. Let w = b - -3. Let g be -1 + 2*(-3 - -1). What is the nearest to 2\/3 in w, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 14*p - 179. What is the units digit of c(19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-825)\/(-22)*(0 + (-8)\/(-5)). What is the second biggest value in 0.02, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from {o: 16, n: 1, w: 3}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-18))\/((-106)\/(-159)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 189 + -296. Let a = -114 - z. Let x(l) = -l**3 - 7*l**2 - 2*l - 9. Determine x(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*a + 3*a + 8*a - 3*a**2 + 0*a wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 12*t**2 - 7. Let h = -32 - -14. Let r = -26 - h. Is u(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 40 = -5*q, 0 = -4*q + f - 16 + 4. Let r(s) = 3*s + 5. Calculate r(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17580 and 2007050?\nAnswer: 12042300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g - 1. Let i be n(-2). Let o be 3\/i*(-8)\/12. Let p = 13.3 - 13. Which is smaller: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p - 6*p - 3*p)*(-3 + 9 - 2)*(2*p**3 + 2*p**3 - 3*p**3)*(0 - 4 + 2)*(3 - 1 + 1).\nAnswer: 336*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 10:27 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - -2106 - (-16 - -13). Suppose 3*k + j = 1593, j + 2*j + q = 4*k. List the prime factors of k.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5) + (-38)\/20)\/((-221)\/1326)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6173.831 + -6177. Let x = c - -3.171529. Round x to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-48)\/(-10) - 2)*(-3 + -9 + 17). Let s = 21 - -14. What is the highest common factor of n and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2.01 (b) 5\/4 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110122212 (base 3) to base 7.\nAnswer: -35624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 544535.32 days to weeks.\nAnswer: 77790.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010010011 + 100001110?\nAnswer: 111110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 8606306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/7 + 2600*v**3\/7 + 888044*v**2\/7 + 27978600*v\/7 + 231598242\/7 = 0.\nAnswer: -633, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7881.711 centuries?\nAnswer: 788.1711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1356 times 377.5\nAnswer: -511890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*b, 20 = w + 4*w + 3*b. Let p be (3\/3)\/(w\/3). Solve 3*g = -6, 4*g + 3 = -p*f + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 20 = 7*y. Let r(i) = -i**2 + i + 2. Let g be r(2). Suppose g*z = -z - 3*c + 2, -4*z = -y*c - 40. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 10*s = 7*s + 2172, -5*z - s - 2753 = 0. Is z < -550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 10:38 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 256 - 1646?\nAnswer: -13e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 374 - 64 = 0. Suppose -33*n + k*n = -40. Solve -5*q + 0*q + 5 = w, n = -5*q + 4*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - s + 142. Let k(b) = 4*b**2 + 2*b - 285. What is -5*c(x) - 2*k(x)?\nAnswer: 2*x**2 + x - 140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/160)\/((3\/5)\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -853120660 to the nearest 100000.\nAnswer: -853100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 587\/7 + -84. Let b be ((-5)\/24)\/(12\/(-48)). What is the biggest value in 3, i, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1804 = 2*p, -i = -4*p + 3*p + 909. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 2 + 4100*k - 13 + 1 - 4099*k.\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468*h**3 - 473*h**3 + 940*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**3*y - 830*v**2*y**2 - 39*v*y**2 - 7*v*y wrt v.\nAnswer: 6*v*y - 1660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 4.6. Let l = 52.6 + -48. Let r = l - i. What is the third smallest value in -3, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-42)*(-3)\/(-30).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, -23, -49, -75, -95, -103, -93?\n\"Answer: r**3 - 9*r**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v. Let q = 19 - 15. Let d(l) = 5*l. Determine q*r(c) - 5*d(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + 4*z**3 - 2*z**3)*(-395 - 32 - 198)*(2*z**2 + 2*z - 1 - 2*z).\nAnswer: -1250*z**5 + 625*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37617847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfyyff. What is prob of sequence ffy?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 19*a - 87036. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1036356 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 5 (b) 4\/7 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*72\/(-96)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494953 is divided by 494766.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.72 and -0.165.\nAnswer: 0.1188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1438.745 kilograms to nanograms.\nAnswer: 1438745000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -239*m + 117 wrt m.\nAnswer: -239","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-59)\/(-472) - (-49)\/(-8). Let o(p) = -p**2 - 4 - 5 - 6*p + 2*p**2. Let d be o(v). What is the highest common divisor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n - 94 = -5*g + 29*n, -5*g - 2*n + 86 = 0. What are the prime factors of 758 + (-6)\/g*6?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (72\/18 + (-847)\/(-63) + -12).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6019, 5966, 5913, 5860?\n\"Answer: -53*o + 6072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1973805.\nAnswer: 1\/1973805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 = m. What is the smallest value in 0.1, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 6*k**2 + 6*k - 8. Let i be (-3 - -3)\/(2\/2). Let d = i + 5. Let u be c(d). Is u greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1276835 is divided by 618.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 2*b = -22, b - 82 + 96 = -3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -16*x. Let t(q) = 451*q - 44. What is t(r(f))?\nAnswer: -7216*f - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(4 + -4) + 0. Suppose -5*c + 3*c + 18 = m. What is the remainder when 43 is divided by c\/12 + 114\/8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 562656 - -20?\nAnswer: 563006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0674112 months to centuries.\nAnswer: 0.000056176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*sqrt(612)*-1 - (-4 + sqrt(612) + 0)).\nAnswer: 7 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.265584 and 4.\nAnswer: 3.734416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 41523*g**2 + 41544*g + 249156.\nAnswer: -3*(g - 3)*(g + 2)*(g + 13842)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2. Let x(w) = -1543432*w. Give z(x(d)).\nAnswer: 2382182338624*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -8. Let f be a\/(-12) + (-36)\/16. Which is smaller: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/3 - 4\/3. Let v(s) = 0*s + 4*s**q - 5*s**2 - 21 + 10*s. Calculate the lowest common multiple of 1 and v(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 68, -126, -584, -1306, -2292, -3542?\n\"Answer: -132*z**2 + 202*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8680.356ml in litres?\nAnswer: 8.680356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 2*m + 95*m**3 - 5 - 5*m**2 + 1 + 28 to v*m**2 + s*m + u + b*m**3 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (11 - (-89102)\/(-8060))\/(2 - 62\/12) and -101\/50.\nAnswer: 29450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 17*d**2 - 527*d - 1. Calculate m(31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 9:47 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 5*t**2 + 0*t**2. Let f(n) be the second derivative of 0*n**3 - 11*n - 4 - 1\/6*n**4 + 0*n**2. What is f(v(x))?\nAnswer: -72*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 612932359 to the power of 1\/2, to the nearest integer?\nAnswer: 24757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*j**2 + 40222*j - 40228*j + 28*j**2.\nAnswer: j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 9548371*i**3.\nAnswer: 9548371*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*s - 12184, s - 7*g + 5*g - 3045 = 0. Suppose 31*b - s = 20*b. What are the prime factors of b?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*x = 99*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 - 2*x**2 - 3*x. Let c be o(-2). Let z be (16 - (2 + -4)) + (-15)\/15. Let r = z - c. Solve r*j + 0*j = 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 15 = -5. Suppose 2*m - 6 = -s - 3*m, h*m - 12 = -2*s. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 559 + -540. Let z = -20 + 28. Suppose u + z = j. Solve 1 - u = -2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 16*x = -2*l + 10, -8 = -3*x - l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-15)\/(-9))*2\/6*-45\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/10*2420\/(-88).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-1 - -6 - (-1 - -6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-one quarters of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/87 at least as big as 216364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314*p = -309*p + 3*f - 1194, 2*f + 1204 = 5*p. Is 240 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**24)**(6\/25)*b**(2\/33)\/((b**(-2\/37)*b)\/b*b) assuming b is positive.\nAnswer: b**(-195523\/30525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 219159 divided by -3?\nAnswer: -73053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1823816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79667\/12 - -6629. Let s be 2 + (65\/16 - -1). Let a = s - 7. Find the common denominator of i and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24446559?\nAnswer: 3, 19, 22573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65903 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2086 + -505?\nAnswer: -2602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -10. Suppose 7*v - l = 2*v. Let g(s) = s**2 + 2*s + 1. What is g(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129644, 129645, 129646, 129647, 129648?\nAnswer: 129649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 17 + 63 = -4*m - 46, 116 = -273*l + 271*l - 5*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*z - 163 = -772 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -66.4 + 27.655\nAnswer: -38.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*z = -15, 3*z = -5*h - 35. Calculate the remainder when 8 is divided by 6\/h - (-65)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37581.\nAnswer: 3, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a litre in millilitres?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or -62\/3?\nAnswer: -62\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f4edd - 2?\nAnswer: f4edb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = 0, 82 + 146 = 4*v + 2*x. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 13. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194121248441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/2*m - 5 - 5\/2*m**2.\nAnswer: -5*(m + 1)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54485 + 137122. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 961970039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 9:22 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 8. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 1. Let c be s(1). Suppose 2*g = c*x - 2, 0 = 5*g - g - 3*x + 3. What is the closest to g in -2, 4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((((((l\/(l**29*l))\/l)\/l*l)\/l)\/l*l)\/l)*l**(-3\/19))**44)**(-8) assuming l is positive.\nAnswer: l**(-219648\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5837, -5405, -4973, -4541, -4109, -3677?\nAnswer: -3245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + -36. Let g(d) = -d**2 + 21*d + 27. Let j be g(s). Solve 0 = -z + 2*z + j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4629610.15 to the nearest 10000.\nAnswer: 4630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -4 (c) 6\/13 (d) -1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/8)\/((-30)\/24). Let r = -264\/5 + 53. Suppose 0 + r*c**2 - b*c = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*k - 610 - 490 = 0, 5*i - 5*k = 1830. Suppose 2*u = -2*u + t + i, -u = t - 91. Suppose 3*h - u = 14. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*f**3 + 415 - 202 - 208)*(7 - 2 + 5).\nAnswer: 100*f**3 + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*x - 3*x + 12 = 0, 3*q = -3*x - 6. Put -5, -1, 3, q in descending order.\nAnswer: 3, q, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 + 6*m + 5. Let h(l) = -15*l**2 - 24*l - 18. Determine 2*h(s) + 9*v(s).\nAnswer: 6*s**2 + 6*s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10415050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 1 + 8 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 + 102. Is (u - 1)\/((-10)\/49090) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010753 to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 2081691*t**3 + 4163381*t**3 + t - 2081689*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -661258 (base 10) to base 7\nAnswer: -5422603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2805, 5311, 9489, 15339, 22861?\nAnswer: 32055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51760.93 decades in months?\nAnswer: 6211311.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 110112022?\nAnswer: -110112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-24) - 3)*-9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x**2 - 3 - 7*x + 10 + 0 - x**3. Let h = 11 - 5. What is the units digit of u(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/60)\/((-88)\/(-2200))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 1228.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onootooortnotoaataa. What is prob of picking 1 r and 1 o?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -762135700 by 2719.\nAnswer: -280300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7320720 is divided by 1681?\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 10 - 26 + 31 + 173*i. Is g(1) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008552165 to five decimal places.\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 4. What is i(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 3*j - 4. Let p be l(-5). Suppose 0 = -k - 3*c + 312, 14*k + 4*c = 19*k - 1655. Let h = k - p. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1945, 40, -1851, -3722, -5567, -7380?\n\"Answer: u**3 + u**2 - 1915*u + 3858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -11*b + 22 + 70 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n - 8. Let g(k) = 3*k + k + 6*k - 5*k - 4. Let y(z) = 6*d(z) - 11*g(z). Let p be y(-4). Put -4, p, 5 in decreasing order.\nAnswer: 5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18338 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(60)\/sqrt(6)))**2 - (sqrt(5) + sqrt(45)\/(sqrt(9) + -3*sqrt(9)) + sqrt(5)).\nAnswer: -3*sqrt(5)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -414.5023672 to zero decimal places.\nAnswer: -415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 597 - 597. Solve o + 1 - 4 = t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (5 + 4)) + 0 + -45 - -11.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/3 + 34*b**3\/3 - 115*b**2\/3 - 50*b.\nAnswer: -b*(b - 30)*(b - 5)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -27\/2627, 0.5, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3 - 23844*j**2 + 47378028*j = 0 for j.\nAnswer: 0, 3974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 5:45 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w\/w**5*w)\/w)\/w*w)\/(w**(-2\/13)\/w))\/((w**1*w)\/w**(2\/13))*(w\/((w*w**(-2\/3))\/w))**(-14)*w\/(w\/(w\/w**6)*w*w)*w*w**(-1\/4) assuming w is positive.\nAnswer: w**(-5191\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -226 - -350. Calculate the greatest common divisor of j and 2170.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -346 + 763. Suppose -z - f = -2*o, 5*o = 3*o + 2*z + 412. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -11. What is the nearest to -2 in -3, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w + 12. Let c be ((-8)\/(-6))\/(216\/486). Let q(d) = -2*d + 11. Determine c*p(a) - 2*q(a).\nAnswer: -2*a + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 341 = 3*c - 10, 0 = -3*u + 5*c - 345. Let m be (3 - u\/(-42))\/(6\/(-7)). Let v = -0.1 - -0.4. Sort -0.1, v, -2, m in decreasing order.\nAnswer: v, -0.1, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -14*y**2 - 483*y + 5481. Give h(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.123596693 rounded to four decimal places?\nAnswer: 1.1236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**4 + 20*m**3 + 15680*m**2 + 307120*m + 551760 = 0. What is m?\nAnswer: -38, -22, -2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h. Let j(y) = -y**2 - 2*y + 1. Let r be j(-2). Let c(w) = -3*w - 4. Let b(m) = r*c(m) - 4*x(m). Let t be 2 - 3 - (-2 + -2). Calculate b(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 6, 6, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 6:59 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, 0.03, -2\/3, -0.2, 17?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4169940 divided by 10.\nAnswer: -416994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o - 4 - 11*o + 19*o)*(-12*o + 2*o + 0*o**2 + o**2)*(o + 0*o - 3*o).\nAnswer: 4*o**4 - 32*o**3 - 80*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + s**2 - 42*s - 308. What is the hundreds digit of h(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09149 + 33.\nAnswer: 33.09149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/4)\/((-90)\/(-40)) - (-5 - -3)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1493 + 3*k + 1881 - 12*k. Let i be u(43). Solve 2*p + 2*d - i - 17 = 0, 3*p = -4*d + 32 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16073031523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3*f**2 + 0 + (-3*f + f - 3*f)*(-6 + 5 - 1)*(0 - f + 0).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - 6\/8 - 4\/16. Suppose 0*o - 52 = 2*o. What are the prime factors of (-2197)\/o + (-2)\/p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -341, -425, -441, -383, -245, -21, 295?\nAnswer: 709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 22\/9, -23\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-50000)\/(-2*(-4)\/(-16)). What is y rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10 = 0, -3*p + 5*r - 14 = -43. Let l = p + 2. What is the remainder when l is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 5 = 4*v, -4*v - c - 132 + 117 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - x**2 + 3 - 1)*(2 - 2 + 2*x) + (4*x**2 - x**2 - 2*x**2)*(-2*x + 3 - 3) - 1 + 1 - 2*x**3 + 11*x**3 - 7*x**3 + 6*x**3.\nAnswer: 8*x**3 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 111 - (91 + -123)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 22*c**2 - 25*c + 27. What is the units digit of j(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -343 - -349. Let x(z) = -z**3 + 3*z**2 + 21*z - 18. Let o be x(q). Solve l + l + 6 = o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/(-12) + (-9)\/(-12). Let n be (-4)\/(-14) - 57\/(-21). Suppose 0*t = -4*t - w*p, -2*p = -n*t. Solve b = -t*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.56 + 0.44. Is 2 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (146\/219)\/((-155)\/15)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -91 in 0.5, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -8*s + t + 26, -2*t = -5*s + 27. Let m be (-2)\/s + 39\/(-15). Let l(w) = w**3 + 4*w**2 + 2*w - 2. Give l(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292 + 6336*z + 292.\nAnswer: 6336*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*t + 15 = 5*p, 5*t - 9 = -3*p. Suppose -5*i + i + 12 = -h, -h - 2*i + 6 = 0. Sort h, p, -3.\nAnswer: -3, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 36*o. Let q(u) = -2*u**2 + 27. What is y(q(h))?\nAnswer: -72*h**2 + 972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/6 - 15761*p\/6 + 42072 = 0.\nAnswer: -15777, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epmanpapapp. What is prob of sequence pe?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1671 + 5?\nAnswer: 1676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 + 6*s + 24 + 3*s - 3*s + s + (3 - 2 + 1)*(-2*s + s - s) in the form r*s + c and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 452628 and 264?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113010?\nAnswer: 2, 3, 5, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 369 and 63?\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/13 or -2\/75?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 373848*x**5 + 38*x**3 + 114574*x**2 + 136*x wrt x?\nAnswer: 22430880*x**2 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z**2 - 7*z + 6. Let t(q) = 2*q**2 + 3*q - 3. Calculate 3*r(c) + 7*t(c).\nAnswer: -c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 4*v + 6. Let k be j(-3). Suppose 53 = 3*m + k*o + o, -4*m = -5*o - 81. Let u = m + -7. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 3 = -14*x + 4*v, 15 = 2*x + 3*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379541.\nAnswer: 379541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 + 24*x**4 - 4*x**3 - 24*x**2.\nAnswer: 4*x**2*(x - 1)*(x + 1)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -20*a + 4. Let j be z(2). Let w be ((-84)\/(-49) - (-8)\/28) + -2. What is the common denominator of 118\/j + -4 - w and -1\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 + 3 - 290*i**3 + 247*i**3.\nAnswer: -43*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*o**2*x**3 + 45*o**2 - 2*o + 477*x**4 + 18 wrt x?\nAnswer: 21*o**2*x**2 + 1908*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3 - 90666*d**2 + 997179*d + 2357030 = 0. What is d?\nAnswer: -2, 13, 90655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**7\/42 + h**3\/6 - 2*h - 1. Let l(u) be the first derivative of s(u). What is the second derivative of l(n) wrt n?\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -0.003564.\nAnswer: 0.096436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2018 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31010 - -58331. 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 next in -6, -34, -88, -174, -298?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4447\/66545 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2562\/610)\/((-1)\/(-5))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*j - 14. Let q be -1 + -1*3\/(-2). What is the second biggest value in 0, j, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 6. Suppose -v = y - 2. Let k be (-6)\/(-8) + 1 + y. Which is the biggest value? (a) 0 (b) k (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32386880 rounded to the nearest 1000000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5882, 0, 4 in descending order.\nAnswer: 4, 0, -5882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -6, -0.2, 3 in decreasing order.\nAnswer: 3, -0.2, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -3*z + 27, -218346*z + 218346*z + 5*o + 5 = 0 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62072 + 7\/(-13)*-13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 635303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 115256456 and 2.\nAnswer: 115256456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-279)\/(-62))\/((-6)\/(-16))).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1509*u + 1514*u + 11755 - 11755.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**2 - 5*j + 5. Suppose -w - 2*w - 33 = 0. Let t = -5 - w. Is i(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 41?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-76 + 75)\/((-1)\/1561)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 8 - (2 + 3) - -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1916 or -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 + 144*x**2 + 305*x**4 + 8 - 4*x - 142*x**2 + 2*x - 6 to the form m*x**2 + f*x**3 + u*x**4 + r*x + p and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 3.6. Let y = -41847 - -41846.5. What is the nearest to 0 in y, 4, c, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30 + 1)*-3*4\/12. What is the first derivative of -39 - l - 23 - 23*c wrt c?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**3\/3 - 4766*l**2\/3 - 2836960*l\/3 + 2841728\/3 = 0.\nAnswer: -1192, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 724 + 2*g**2 + 68*g - 68*g.\nAnswer: 2*g**2 + 724","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a day in hours?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8*q = 3*q + 685, 5*t + 2*q = -706. Let x = -99 - t. Let a = 75 - x. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154\/(-66) - 2\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6646436.\nAnswer: 2, 719, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 249774.1 meters in micrometers?\nAnswer: 249774100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ccycdddyyweydedywqwc?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqr when four letters picked without replacement from uruuuuurrrrurruuqu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 2654?\nAnswer: 7962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81366 - 568026\/7. Is y greater than 219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33379 + 33379.3. What is the closest to u in -0.07, -0.4, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 1. Suppose 0 = -232*f + 183 + 82 - 33. Let h(t) = -7*t**2 + 2*t + 15. Determine f*h(o) + 6*a(o).\nAnswer: -o**2 + 2*o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) 3 (c) 2 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 492 = -10*h. Let s(q) = -2*q**3 - 9*q**2 - q + 1. Let f be s(-6). Let i = f + h. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x + 27*x - 18 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8c236 + -6?\nAnswer: 8c230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 47\/2*p**3 - 12*p - 21*p**2 + 27\/20*p**5 + 0 + 35\/2*p**4. Factor u(n).\nAnswer: 3*(n + 1)*(n + 7)*(9*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -151 + 150.9556. What is m rounded to 3 dps?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 15 = -n + 2*u, -5*u = 15. Let q be 34\/16 - 4\/n. Let v(i) = 5*i**2 + q*i**2 - 8*i**2. Let r(h) = -20*h. Determine r(v(a)).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxxxfllxxzlxzxfzlzx. What is prob of sequence xg?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -257, -226, -137, 40, 335, 778, 1399, 2228?\n\"Answer: 5*h**3 - h**2 - h - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 1566?\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2760255?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57992793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 11:44 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 188254907 to the power of 1\/2, to the nearest integer?\nAnswer: 13721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**4\/12 + 1108*k + 3. Let b(w) = 603*w**2. What is f(b(h))?\nAnswer: 363609*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -l, -41 = -2*n - 5*l + 2. Let u(v) be the first derivative of -9 - 6 + v + v**2 + n. Find the first derivative of u(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 7000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 34 = -4*m, -5*m - s = -2*s - 32. Suppose 7*u = m*u - 4. Let p be -2 - (u - 0) - (0 + 2). Solve p*l - 9 = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/18)\/((-304)\/(-1368))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -111, 0.16, 2 in increasing order.\nAnswer: -111, -4, 0.16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 2. Let o(w) be the first derivative of w**3\/3 + 38. What is c(o(j))?\nAnswer: j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f. Let z(k) be the third derivative of 0*k**3 + 0*k - 3 + k**2 - 1\/3*k**4 - 1\/30*k**5. Give z(n(t)).\nAnswer: -8*t**2 - 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4554*k**2 - 59189*k + 12. Calculate n(-13).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -3*d**4\/8 + d**3 - 24*d**2. Let k(h) = 8*h - 5. Calculate -7*k(a) - 6*s(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 154770 in -2\/3, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s. Let z(t) = -t**2 - 1. Let b(n) = -75*n**2 + 85*n**2 + 1 + 3. Let a(c) = b(c) + 4*z(c). Calculate a(h(p)).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -9, -2, 6, 1450.\nAnswer: -9, -3, -2, 5, 6, 1450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 28 - (2 - 7) - (-1 + 5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-8)*(-4)\/(-10). What is the third smallest value in n, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -5. Suppose 5*w - 4 + 14 = b. Let r be 13 + w - (-6)\/3. Round r to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*a**2 + 22*a**2 - 12*a**2)*(132*a - 47*a - 2*a + 109*a).\nAnswer: 4800*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**6\/120 - 9*n**5\/20 + 5*n**4\/24 - 5*n**3\/6 - 2*n**2 - 50. Let k(y) = -y**3 + 13*y**2 - 3*y + 3. Determine 3*g(m) + 5*k(m).\nAnswer: -2*m**3 - 16*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52813726 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 10720*g - 64292. Determine o(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 705 and 19.\nAnswer: 13395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y. Let v(f) = f. Let l(z) = 6*s(z) - 13*v(z). Let t(k) = -1. Let c(r) = l(r) + 3*t(r). Calculate c(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30907121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -16. Let p(m) = m**3 + 3*m - 3. Let u be p(d). Suppose -u = -5*w + 17. What is the remainder when 69 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 54*y**2 + 255*y - 493. Let z be q(49). Put 4, 35, 0, -4, z in increasing order.\nAnswer: -4, z, 0, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s - 56 = -37*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 4*c + 13, -2939*c - 5*r = -2938*c - 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**16\/f)))\/f**14*(f*f**(-1\/3)\/f*f)**(-29\/5) assuming f is positive.\nAnswer: f**(-43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.7226 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**4\/m)\/((m**3*m)\/m)*(m**1*m*m*m)**(-12\/11))\/((m**(1\/2))**(1\/2)\/(m\/m**2*m*m\/(m\/(m*m**(3\/7))))) assuming m is positive.\nAnswer: m**(-981\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 336 - 346?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/20)\/2 + 2\/(-5). Which is the closest to u? (a) -3 (b) 14 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 16 + 305*m - 599*m + 300*m. List the prime factors of j(6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001549848 rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -9. Let c(z) = -5*z + 3. Does 7 divide c(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (5 - 10) + (4 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139120 is divided by 262.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18337.\nAnswer: 11, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 11472.\nAnswer: -3441.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18524 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2 - 2 + 12 + 2*c + 5*c + 0. Let i(t) = -10*t - 12. Let p(k) = -3*h(k) - 2*i(k). Let n(o) = 2*o**2. What is n(p(d))?\nAnswer: 2*d**2 + 48*d + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a hour in seconds?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13437 is divided by 105?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -5. Suppose w*v = 9 + 1. Put 5, 6, v in descending order.\nAnswer: 6, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c = -131299 + 402372 + 334495. Is c a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 6:54 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 231, -2, -1, 25, 14, 5, -5 in descending order.\nAnswer: 231, 25, 14, 5, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 4:35 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, q: 2, i: 5, l: 1, b: 1, w: 1}. Give prob of sequence fb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 16) + (7 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*z - 4526 = 4378 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24386, 89848, 196390, 344012?\n\"Answer: 20540*j**2 + 3842*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114416 and 976.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 47*x**3 + 2*x + 2. Let f(z) = 95*z**3 + 5*z + 5. Determine 2*f(d) - 5*t(d).\nAnswer: -45*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5676*j - 2049*j + 92060 = 541*j + 10146*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 + 1172*q\/5.\nAnswer: 2*q*(q + 586)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - 5*m**3 + 4*m**3 - 2*m**3 + 0*m**3 + 4*m**3 + (m**2 - m**2 + m**2)*(3*m - m - 3*m))*(2*m - 4*m + 3 + 0).\nAnswer: 2*m**4 - 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b + 5. Suppose 0 = b*k + 2*s - 29, 2*k - 3*s - 37 = -2*k. Suppose -k*p = -2*p. Solve 2*w + 4 = -p*w - 4*t, 2*w + 3*t = -2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.21 (b) -0.05835 (c) 0.2 (d) 3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 7. Suppose -5*z + 436 - 81 = k. Is z a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 491 - 485. Suppose -f*h + 1100 = -76. Is h a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 12*v**2 - 27*v - 7. Let h be b(8). Is -3 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -135, -172, -247, -372, -559?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -337 (c) -0.1 (d) -1 (e) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 23*y = -20*y + 7308, 4*d - y - 29276 = 0. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-3))\/(1 + 1). Let l = v + 4. Let n be (-2000)\/((-6)\/l)*16. What is n rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 6, 2, 4.\nAnswer: 2, 4, 6, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -251d + -de?\nAnswer: -25fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 16\/6482521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**3 + 8*u - 5. What is c(2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45518 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13685434 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4114242.\nAnswer: 2, 3, 11, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05321459 rounded to four decimal places?\nAnswer: 0.0532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-8))\/((8 + -17)\/(-540)). Solve z = 5*l + 16, -11*z - 10 = -n*z + 2*l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 2:20 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1792860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 219, 284, 343, 396, 443, 484?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.29999515 - 19.3. Round s to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*s + 141*s + 41*s.\nAnswer: 242*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 40 (b) 3 (c) -2\/11 (d) -29 (e) -1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.041 at most as big as 5253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6513623.8 rounded to the nearest 1000?\nAnswer: -6514000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 7:25 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 25. Let k(w) = -9*w + 5. Let y(r) = 3*r - 2. Let h(f) = m*y(f) + 4*k(f). Is 16 a factor of h(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*1\/(-63))\/((-2)\/7).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70814.\nAnswer: 2, 35407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26037 and 40502.\nAnswer: 364518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101001 + 10?\nAnswer: -10100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 5499258540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 12 = -0*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 228.08 - 232. Let d = 0.08 - i. Let v = -9 + 10. Which is the closest to 1? (a) d (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4919668 divided by -74\nAnswer: -66482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 726330127?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -3*p - 55, 48*d = 2324*p - 2326*p + 210 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 23.4. Suppose 9*g + 11*g = 84 - 244. Which is the third biggest value? (a) g (b) s (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-33)\/27 + 4\/18. Let t = -15 + 11. Let k be ((-2)\/12)\/(6\/t). Is k at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 8:58 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27729876 * -0.08.\nAnswer: 2218390.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -262*c**2 - 263*c**2 + 6*c**3 + 1 + 797*c**2 - c**4 - 273*c**2 in the form q*c**2 + j*c**3 + h + x*c + o*c**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**2\/4 + 69*l\/2 = 0 for l.\nAnswer: 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**3 + 2 - 4*f + 107945*f**4 - 107939*f**4 - 2*f**2 - 2*f**3 to i*f**3 + u*f + d*f**4 + o + w*f**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8182 - 106419\/13. Is -3 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 84. Calculate the remainder when q is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001397 rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -112221000002 (base 3) in base 16?\nAnswer: -47b9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 715.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*d = 33, -5*d = -0*d + 20. Suppose -r - 5 = -j. Let q be r + 9\/(-3 + 6). Solve -s - q + 1 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.26 + -0.74. Let o be -1 + 0 - (-3)\/5. What is the closest to s in o, 0.2, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**2 - 9*n. Let j(a) = 2*a**2 - 2*a + 0*a**2 - 3*a**2. Let u = 23 - 21. Calculate u*f(g) - 9*j(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -319 at most -319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 4. Let u be (3\/(-9))\/((-4)\/48). Which is the second biggest value? (a) 3 (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 10*v. Let s(x) = 8*x - 6*x - 6*x. Determine s(p(j)).\nAnswer: -40*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 276513 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -4 (b) 1382 (c) 164 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -13716*f + 13705*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a centimeter in millimeters?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00524483672 rounded to 7 decimal places?\nAnswer: 0.0052448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 0 + 1\/12*w**4 + 0*w**3 - 2*w + 0*w**2. Let t(d) = -6*d**2. Determine t(r(z)).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 40 = 8*h. Let p be (-153)\/18 + h + 2\/(-4). Which is the nearest to p? (a) 4 (b) -5 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g + 3465 = 81*g. Calculate the least common multiple of 147 and g.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 0 + 16. Let r = k - 49. Let p = 85 + r. Calculate the remainder when 49 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 380845, 380260, 379673, 379084, 378493, 377900?\nAnswer: 377305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92734.3*-1.\nAnswer: 92734.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2872798584\/120 - 1\/5. Suppose -4*r + 3*k = 54093283 - 6213271, 2*r = -3*k - v. What is r rounded to the nearest 100000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j + 39. What is w(0)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 464459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -1\/8*o**8 + 0*o**5 - 3 - 1\/6*o**3 + 0*o**7 - 1\/6*o**4 + 0*o**2 + 6*o + 1\/30*o**6. Find the third derivative of m(p) wrt p.\nAnswer: -840*p**3 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 279 + 347 = 17*v, -v + 4 = 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -103*g + 25. Let f be -4*((-27)\/(-6) + -4). Is x(f) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, h: 2, s: 1, l: 2, f: 1, r: 1}. What is prob of picking 1 l and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177 - 129*w**2 - 180 + 357 + 131*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52*g**2*s + 12768*g**2 + 119*g*s - 3*s wrt s?\nAnswer: 52*g**2 + 119*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2.5. Let d = 35\/152 - 2\/19. Put k, d, 5 in decreasing order.\nAnswer: 5, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(170))\/sqrt(10) + (sqrt(17) - (sqrt(17) + -5 + sqrt(17) + 0)) + ((sqrt(17) + 1 + sqrt(2057) + sqrt(2057) + sqrt(2057))*5)**2.\nAnswer: 1697*sqrt(17) + 491330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -13*(-11 + -2) - -6*1 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*l - 6 - 15 = 0, 0 = 3*w - 3*l - 15. Suppose 5*r - 4267 = -2*y, 2*y = -w*r + 2261 + 300. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19\/3 in 2\/5, 10, 0.1, -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -841, -847, -857, -871, -889?\nAnswer: -911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2 - 73*l + 142 = 0 for l.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*m - 3*m - 10*m + 5*m to the form g*m + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11608 divided by 4.\nAnswer: 2902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3421 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*x + 3*t, 2*x = 4*t + t - 28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -0*b - 5*b. Let p be (b\/2)\/((-3)\/30). Let y be (-240)\/(-64) + 8 + 189\/(-28). Calculate the highest common divisor of y and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*b - 51. Let h = b - 14. Solve 2*q - h*q = -j + 2, -4*j + 3*q = -10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/298418 and -19\/1005?\nAnswer: 4476270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-600)\/1392 + ((-6)\/(-4))\/3. Is r equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + (0 - (-9 + 5 + -3 - -10)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + d**2 + d**2)*(d**3 - d**3 + 9*d**3) + (-18*d**4 - 14*d**4 + 80*d**4)*(1 - 1 - d).\nAnswer: -21*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -19386*d - 58679. Determine y(-3).\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -665*b + 1045?\nAnswer: -665","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 7 + 2*o**2 - 288594*o + 288610*o + o**2.\nAnswer: 2*o**2 + 16*o + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1006 - 1005. What is the biggest value in -0.3, v, -8, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, f: 7}. Give prob of picking 1 e and 1 f.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1338160 divided by 43.\nAnswer: 31120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 30*l**7\/7 - 16*l**3 - 52. What is the third derivative of m(d) wrt d?\nAnswer: 3600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4350 and 46023?\nAnswer: 2301150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.92 (b) 0 (c) 0.3 (d) 12 (e) -0.4 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 3*j = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 2 + 29*c.\nAnswer: 29*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3040, 5551, 7542, 9013, 9964, 10395, 10306?\nAnswer: 9697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-72)\/(-108)*84\/8. Solve -s*w = 1 + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -382 equal to -386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -600\/330209?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1 - 7) + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3.56*0.1117\nAnswer: -0.397652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 12 + 11 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*l**2 + 18622 + 18626 - 37281 - 2*l**3 as f*l**3 + k*l + i*l**2 + n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14324 (base 6) in base 5?\nAnswer: -33114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**2 - 4 + 3 - 4*b**2 - 8*b - 2*b**2 + 0*b**2. Give i(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -312 - -2?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*g + 2*n, 52 - 60 = -2*g - 2*n. What is the lowest common multiple of 21 + 2 + 1*-3 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2858 - -5188. List the prime factors of f.\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - o**2 + 57 - 32.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(324) + sqrt(9) + sqrt(45)\/(sqrt(40)\/sqrt(8) + sqrt(5)))\/(2*sqrt(300)*1 + -5*(-2*sqrt(300) + sqrt(300))).\nAnswer: -9*sqrt(3)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2815\/1224 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37963973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d**2 - 2*d. Let t be p(1). Suppose -f + t*f - 200 = 0. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980234008 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 < 5676\/257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + k = 27, h - 2*k - 2*k = 9. Differentiate h*g**3 + 4*g**4 - 9*g**3 - 5 with respect to g.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 539287029?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 240144323 - -2?\nAnswer: 240144330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**6\/6 - 12*h**5\/5 - 5*h**4\/2 + 4*h**3 + 11*h**2\/2 + 9825. Suppose s(d) = 0. Calculate d.\nAnswer: -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 4.003.\nAnswer: 2.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-205)\/(-15) - 31\/(-93). Solve -2*j = -4*j - z for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306900 is divided by 14614.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 946 + -946. Solve -9*k + 8*k = z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjyhtydfhydyhjt. Give prob of picking 1 f and 3 h.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3\/7 (b) 1.6 (c) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20\/9 - 2. Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39116?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, e: 2, w: 1, h: 1, o: 2, l: 1}. Give prob of sequence oolw.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4\/3 (b) 67 (c) -36239 (d) -2\/7 (e) -6 (f) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -67130, -134293, -201456, -268619?\n\"Answer: -67163*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 0 + 2)*(-482*k - 132*k - 421*k) to t + x*k and give x.\nAnswer: 17595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {m: 2, x: 2, q: 1, n: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115 by 115.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -24. Let f(k) = c + k - 6*k + 4*k + 5*k. Calculate the remainder when 28 is divided by f(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6493.8 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1691 + -206?\nAnswer: -1897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -112*b**3 - 12*b**2*v + 36703*v wrt b?\nAnswer: -336*b**2 - 24*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217425?\nAnswer: 3, 5, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 664 and 13280.\nAnswer: 13280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6912)\/(-494) - ((8 + -148)\/(175\/(-50)) - 26).\nAnswer: -2\/247","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37cd8a (base 14) to base 16.\nAnswer: -1d441e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 41*g**2 + 42*g**2 - 87*g**2 - 6*g + 8*g to the form h*g + y*g**2 + x and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**3 - o - 1. Let n be q(-1). Suppose -3 + 19 = 4*d + g, d + g - n = 0. Find the third derivative of 3*s**3 - s**3 - d*s**3 - s**2 wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, -2 in decreasing order.\nAnswer: 11, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**4*f*f*(f*f*f**(-4))\/f)**(-44))**(-9) assuming f is positive.\nAnswer: f**1188","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h**2 + 5*h + 5. Suppose -3*s + 7 - 10 = -2*i, 4*i - 12 = 0. Let l(c) = -c**2 - c - 1. Suppose q + 2*q - 15 = 0. Calculate q*l(w) + s*y(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (96\/56)\/((-3)\/(-42)). Calculate the highest common factor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from eeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 169680 and 16968?\nAnswer: 169680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -20, -188, -91, 0.1 in decreasing order.\nAnswer: 1, 0.1, -20, -91, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 690 = -10*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10252 (base 7) in base 4?\nAnswer: 213220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9261 = 18*c + 9099 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 - (5 - (7 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 24 = 4*q, -2*s + 4*q - 7 + 51 = 0. Determine j so that -8*j**3 + s*j**2 - 5*j**3 - 12*j**4 - 7 - 1 + 17*j**3 - 4*j = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 50127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3624231 and 8151.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 61\/2 of a decade?\nAnswer: 3660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (80\/36)\/((-72)\/(-324))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (4 - 6 - 2) + 2 + 15\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/2009018 and 29\/1461104.\nAnswer: 16072144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h - 3*h - 10*d + 80 = 15*h, -h + 19 = 5*d for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - 3170\/(-90))*(-36)\/42.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 36.919823021?\nAnswer: 30.919823021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 28 = 4*v, -55 = 2*x - 0*x + 5*v. Let z(t) = -5*t - 8. Is z(x) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*y - 150*y = -6314 - 4564 for y.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2*g - 16855 = 0. Let v = g + -33679\/10. Calculate the common denominator of -22\/3 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80741 or -80750?\nAnswer: -80750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11012220012200 + -102?\nAnswer: -11012220020002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112880 is divided by 52782?\nAnswer: 7316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39615949 is divided by 13205315.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135319934 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -85*f + 103. Let l be z(4). What is the common denominator of 71\/2 and (-9)\/126 + l\/(-35)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = -3*p + 7*h + 2, 5*p + h - 9 = 0. Let c(d) = -d**2 - 4*d + 3. Let l be c(-4). Suppose 0 = -w + l*w - 12. Solve p - w = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1686 - -374?\nAnswer: 2171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 7*h. Let p(n) be the first derivative of h*n**4 + 0*n**3 - 2\/5*n**5 + n - 1 + 0*n**2. What is the derivative of p(w) wrt w?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -31. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2025 - -245550?\nAnswer: 243521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffx when three letters picked without replacement from axfxfxxxf.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2975219 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 402\/33 - 4\/22. Let u = d - 10. Let z(a) = 47*a**3 + a + 2. Let r be z(u). Round r to the nearest 10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 317788670 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i = 34*i. Suppose -2*n - 3*n = i, 4*n - 152 = -4*g. Calculate the remainder when g is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67499 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (80 - 80) + 2 + -3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(11\/4))\/(w\/w**(-1\/7)))\/(w**(-5)\/(w**8\/w)))**(28\/3) assuming w is positive.\nAnswer: w**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from {q: 7, a: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 6*b**2\/11 - 232532*b\/11 + 49322 = 0.\nAnswer: 7\/3, 38753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 2:06 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -31*j + 39. Let g(d) = -3*d**2 - 3*d + 2. Suppose 7*q - 6 = 8. Let p be g(q). Is o(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**4\/24 + 5*p**2. Let x(d) = 10*d. Let a(w) = 0*w + 0*w - 3*w. Let l(h) = -16*a(h) - 5*x(h). Give z(l(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37.9 - 0.3. Let w = -44 - g. What is w rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**0\/t)))**5*(t*(t*t**(-1\/8)*t)\/t)\/(t\/(t*t**(-6))) assuming t is positive.\nAnswer: t**(-73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1, 0.01?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -948 + 65*b + 8*b**2 + 948.\nAnswer: 8*b**2 + 65*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -368619 + 368884.557. Let p = 209.5476 - x. Let k = p + 56. What is k rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/102 and 37\/15?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a05 (base 14) in base 4?\nAnswer: 3022031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -3 + sqrt(19))**2 + -2 + sqrt(19) + (-4 + sqrt(19))*-1.\nAnswer: -12*sqrt(19) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94 + -66. What is the remainder when o is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.1445 to one dp.\nAnswer: -14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2 (c) 3 (d) 1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 8) + (4 - 10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -97174445, -194348889, -291523333, -388697777?\n\"Answer: -97174444*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1, -47\/2, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61848, -61841, -61834, -61827?\nAnswer: -61820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/17761492 and -17\/610.\nAnswer: 88807460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-552)\/220)\/69*-44\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 9*u + 24 = -7*u + 45*u + j, 4*u - 16 = -4*j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2)\/i)**(-1\/8))**8 assuming i is positive.\nAnswer: sqrt(i)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n - 62 + 26. Suppose 3*z = -n*c, 2*c + 2*z = z + 2. Factor -5\/2*m**3 + 8*m**2 - 25\/2*m**4 - c*m + 0.\nAnswer: -m*(m + 1)*(5*m - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + 0.2. Let m = -0.17774 + -0.02226. Let i = 1.96 - -0.04. Which is the nearest to i? (a) p (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5196 and 22.\nAnswer: 57156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-6) - (-154)\/21. Let y = 8 - w. What is the first derivative of -h + y - 2 + 0 wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7151*l - 7065*l + 14212*l + 12 - 12.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*z + 17*z**2 + 0*z**2 + 4*z**2 - 169*z + 283*z.\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*y**2 + 27*y**2 - 5*y**2)*(-24*y**3 + 67*y**3 + 51*y**3).\nAnswer: 4136*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4222503259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -13. Suppose n*t + t = 1. Let w be ((-4)\/(-6))\/(2\/(-6)). Put t, -4, w in decreasing order.\nAnswer: t, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) -3\/7 (c) 0.3 (d) 5 (e) 0.4 (f) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 21 = -2*k + 64, 125 = 4*k - 5*c. Calculate the least common multiple of 5*-3*10\/(-3) and k.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 d, and 2 s when four letters picked without replacement from {s: 4, d: 2, h: 1, b: 7, i: 6}.\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 12*w**2 + 40*w + 47. What is the remainder when 24 is divided by k(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 454, -4, 4\/9.\nAnswer: -4, 4\/9, 56, 454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u - 276. Let n(k) = -3*k. Determine g(n(c)).\nAnswer: 9*c - 276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/171 - (-3664)\/304.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 1, -7 in decreasing order.\nAnswer: 3, 1, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 + 234 - 115 + 2*h.\nAnswer: 2*h + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5003324 (base 6) in base 14?\nAnswer: 61420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8669546?\nAnswer: 2, 277, 15649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, d: 6}. What is prob of sequence dd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 3 + 3 + 2*n**2)*(5 - 4 + 15).\nAnswer: 32*n**2 - 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-2\/9)\/x))**(2\/35)\/(x**(-2\/11)*x**(1\/6)) assuming x is positive.\nAnswer: x**(197\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 24, 31, 38, 45, 52?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 7 + 5)*(0*n**5 + 4*n**5 + 0*n**5).\nAnswer: 116*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3.3. Let i = -8 + 7.7. Let x = -29.6 + 29.4. What is the closest to r in -3, i, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2 + 17*g - 6. Let p(n) = n**2 - 8*n + 3. Let v(m) = -2*o(m) - 5*p(m). Suppose -2*q - 1 = 11. Calculate v(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 36*y + 215. Let q be d(-41). Let p be ((-2)\/5)\/((-2)\/10). What is the greatest common factor of q and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7770734679 - -2?\nAnswer: 6.7770734679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 3*j**2 + 3*j - 9. Calculate z(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 26?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 10.8. Let t = k - -0.8. Let p = -31\/58 - -1\/29. What is the third smallest value in p, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**4 - 3251*c**3 - 17152*c**2 - 21268*c = 0.\nAnswer: -13\/4, -2, 0, 818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqqpmff. Give prob of sequence qfqi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146670506 is divided by 3787?\nAnswer: 3783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 1\/472, -0.186?\nAnswer: -0.186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000050655 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - ((3 - -3) + -8 - 2). Which is the nearest to u? (a) 0.18 (b) -1\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 5. Let g be t(5). Suppose g*s = 9 + 6. Solve -m + 2 = -s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -262 - -433. Let d = s - 168. Solve 0 = 10*y - d*y - 35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828983 is divided by 1897?\nAnswer: 1891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/54 and -95\/102.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46.91 + 45.91. What is the nearest to b in 4, -2\/13, -0.056, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 5*g - 34, -78*g + 16 = -4*f - 76*g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 6:44 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6.77653nm?\nAnswer: 0.00000000677653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/49)\/(2\/4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/2))**(-11)\/((w*(w*w\/(w\/(w*w*w**(1\/8))*w)*w)\/w*w)\/(w\/(w**(2\/25)\/w))))**(-4\/15) assuming w is positive.\nAnswer: w**(1541\/750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*y**5 - 101843*y**3 + 688*y**2 - 493923843*y.\nAnswer: -40*y**3 - 611058*y + 1376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4290 is divided by 1366.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5709838*r**3*x**2 + 2*r**3 + 6*r*x**2 + 12*r*x - 2*r + x**2 + 188*x + 52 wrt r.\nAnswer: -34259028*r*x**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**3 + 11*q**2 + q + 1. Determine w(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 23 - 7)*(4*s - s - s + (3 - 3 + s)*(-3 + 1 + 4) + s - s - 2*s)*(0 + 5 - 3) to u*s + q and give u.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3356 - 23262\/7. Is 34 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.23097 times -0.06?\nAnswer: -0.0738582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2)*(-3*c - 1 + 1)*(-c**2 + 5*c + 3*c - 7*c).\nAnswer: 9*c**3 - 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -31.8 and 44.9070033.\nAnswer: 13.1070033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9*((-1043)\/35 - -28)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**3 - 2*p. Let n(t) = -2*t**3 + 3*t. Let w(g) = 17*g - 90. Let o be w(6). Let b be -1 + 4 - o*(-9)\/36. Give b*f(q) + 4*n(q).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 - 19*m**2 - 55*m - 9. Let j(v) = v**2 - v - 2. Give 5*j(b) - x(b).\nAnswer: 2*b**3 + 24*b**2 + 50*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 9:24 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.032204 to 4 decimal places.\nAnswer: -0.0322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 o when three letters picked without replacement from {t: 1, n: 1, o: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 12*o + 71. What is s(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 + 2848*f**3 - 5693*f**2 + 2846*f.\nAnswer: -f*(f - 2846)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7.97 times 0.0611\nAnswer: 0.486967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*m + 10. Suppose 0*d = -m*d. Let r(h) = h**3 + h**2 + h - 3. Calculate r(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 12*t + 65. Let x be c(-5). Let g = -1 + 3. Suppose -3 = -g*o + x. Calculate the remainder when 11 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 653.14 + -653.58. Let g = 0 - 0.08. Which is greater: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2731454932 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3402 and 1278?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12175601811238 take away 12?\nAnswer: -11.87824398188762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.691011701 rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -27. Let g = 14 - j. Let m be g - 1 - -10 - -1. Solve 4*u - m = -23 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005144 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34756 + (4 - 2) + -10 + 8?\nAnswer: 2, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1391*l**3 - 411*l**2 + 0 - 810*l**3 + 413*l**2 + 0.\nAnswer: -2201*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15\/25 + 3*190122\/90?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/6 (b) 0.01 (c) -1\/3 (d) 19 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -90*s - 4226. What is t(-54)?\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 174599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13917 + -13902. Sort 0.05, 5, d, -3\/5.\nAnswer: -3\/5, 0.05, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(252)*2 - -4*(-3 + sqrt(252))) + -2)**2.\nAnswer: -336*sqrt(7) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 101 = 106. Suppose -z*c + 104 = 5*b - 2*b, 0 = 5*b - 3*c - 230. What is the remainder when b is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 5*k**6\/2 - 2*k**3\/3 - k**2\/2 - 9*k - 42. Find the second derivative of o(f) wrt f.\nAnswer: 300*f**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s + 2. Let n(b) = 3*b - 1. Let f(a) = -7*n(a) - 4*w(a). Suppose -9*x + 7*x = 2. Let z(o) = 3*o + 4. Let r(d) = x*f(d) - z(d). Calculate r(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2054 - 2054.10008. Let j = 2 + -1.9. Let t = a + j. Round t to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -13, 2\/5, -184?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 8*g**2 - 3*g. Let a be p(3). Let z be (-14)\/(-77) + (-14)\/44*32. Let j be (z + 12)*7\/2. Calculate the highest common factor of a and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2701*m + 1351*m + 1347*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**7\/56 + v**4\/8 + 7*v**3\/2 + 20*v**2. Let a(b) be the first derivative of c(b). Find the first derivative of a(s) wrt s.\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2\/5, 3\/47, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546856 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 43*c**2 - 123*c + 76. What is j(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 256 - 253 = -f, 0 = -f + 5*r - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**7\/2100 - 2*r**6\/225 - 3*r**5\/100 + 30*r**3 + 21*r**2. Let c(x) be the first derivative of j(x). Factor c(t).\nAnswer: 2*t*(t - 9)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 16*o**2 + 38*o - 15. Calculate i(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -246, -252, -260, -270, -282?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -4.51 (c) 8 (d) 5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/245 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 774835.4 centuries to years.\nAnswer: 77483540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4 + 1)*2. Let g = -6\/19 - -55\/114. What is the nearest to 4 in g, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/5)\/(2\/40). Let t = 31 - d. Which is the nearest to t? (a) 0.03 (b) 0.5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4544, 5987, 8400, 11789, 16160, 21519, 27872?\nAnswer: 35225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 2. Let m(l) = 14*l**2 + 6*l + 12. Let i(r) = 2*m(r) - 12*o(r). Let t(w) = -6*w. Let y(u) = -u. Let z(k) = t(k) - 5*y(k). Calculate z(i(h)).\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -47801 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**4\/4 + 63*b**3\/4 - 183*b**2\/4 + 181*b\/4 - 15 = 0.\nAnswer: 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7111, 28357, 63773, 113365, 177139, 255101, 347257?\nAnswer: 453613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 285360 by -492.\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**3\/3 - 5*p**2 - p - 28. Calculate m(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2*8936\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294201 to the power of 1\/2, to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*c - 1762 + 4697 = 1981 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-6 + (-3 - 0))) + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**4 - 4*c + 4*c)*(8 - 1 + 3)*(-8 + 0 + 4)*(3 - 4 - 1).\nAnswer: 160*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 178506758 + -178507295.473066. Let a = s + 577.473. Let d = a + -40. What is d rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 7, 1\/6, 0.5, 2\/9 in increasing order.\nAnswer: -35, 1\/6, 2\/9, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2858650 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-o**2 + 0*o**2 - o**2) - 2*o**2 - 4*o**2 + 5*o**2 + (-5 - 3 + 3)*(3*o - 3*o - 2*o**2).\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -624 + -3?\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0.3, 170818?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Let o = v - -1. Find the second derivative of 2*a + o*a - 2*a + a**4 wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of -4 + (-7)\/((-42)\/780)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 100935, 403737, 908417, 1614981, 2523435, 3633785, 4946037, 6460197?\n\"Answer: w**3 + 100933*w**2 - 4*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -881 (base 10) to base 6\nAnswer: -4025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1105*j. Let k(c) = 983*c**2. What is k(r(l))?\nAnswer: 1200267575*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12320 (base 4) to base 12.\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -187\/6 - -31. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -9. Let o = d - 12. Determine n so that o*n**2 + 2*n**3 + 7*n - n - 4*n = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1470378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23985 and 15210.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)*1)**2*3 - ((sqrt(304) + -1)*2)**2)*-6.\nAnswer: -192*sqrt(19) + 1848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1008) + (sqrt(1008) - (3*sqrt(1008) + -5)))**2.\nAnswer: -240*sqrt(7) + 2066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*b = 4*b + 8, -4*b = 5*s - 32. Suppose -2*j = -6*j - s. Let h(v) = -1 + 3*v**2 - 222*v + 222*v. Determine h(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-360)\/1150 - 12\/138.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: adfe (base 16) to base 13\nAnswer: 17374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 811, 1175, 1555, 1951, 2363, 2791, 3235?\nAnswer: 3695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhihiih. What is prob of sequence iihh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -16. Let m = j - -23. Let x(a) = a**3 - 8*a**2 - 5*a + 13. What is the tens digit of x(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-22)\/296)\/(17\/(-6)) and 126\/729*9\/4?\nAnswer: 11322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 + 5*j**2 + 3*j + 6. Let v(t) be the first derivative of -t**4\/2 + 2*t**3 + 2*t**2 + 7*t - 29. Calculate 3*v(c) - 4*z(c).\nAnswer: 2*c**3 - 2*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, m: 1, k: 3, g: 4, w: 1, e: 2}. What is prob of sequence ge?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (-22191)\/(-25914)*-2. Let j = -1\/617 - a. Is j smaller than -13.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*o - 1)*(836 - 2634 - 6437) in the form t + f*o and give f.\nAnswer: 16470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 93*w + 871. Calculate p(102).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.95 + -9.35. Let i = 0.27473367 - -11.02536333. Let f = z + i. What is f rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3834*q**2 + 6566 wrt q?\nAnswer: 7668*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -12*c**3 - 4*c**2 - 4*c - 6. Let l be y(-3). Suppose -11*d - 3*d + l = 0. Let b = -19 + d. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 78*c - 94*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110100111 + 10000010?\nAnswer: 100000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 2 + (-8 - -5 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54683\/17 - -3214. Find the common denominator of 3 - (-1412)\/264 - 4\/22 and w.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**4 + 35*q**3 + 13*q**2 - 27*q - 24. Let p(l) = 2*l**4 - 12*l**3 - 4*l**2 + 9*l + 8. Let k(z) = -3*j(z) - 8*p(z). Factor k(y).\nAnswer: -(y - 1)*(y + 1)**2*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 179 - 182. Which is the smallest value? (a) 4 (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 56*p**2 + 58*p - 25. Let f(s) = -28*s**2 - 27*s + 10. Calculate -5*f(l) - 2*h(l).\nAnswer: 28*l**2 + 19*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -0.6, -0.4, -4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiddidddiiiidi. Give prob of sequence iid.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 0 - (2 - 5) - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (90\/4239)\/((-890)\/267)\nAnswer: -1\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5116279250.\nAnswer: 2, 5, 20465117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = c, 0 = -l - 4*c + c - 1. Let k be 2\/(-3) + 16\/6. Solve -l*i + k = -3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from xxyxxxxhhyahhxxyxhh.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 12*q**2 + 14*q - 3. Let w(j) = -2*j**3 + 23*j**2 - 28*j + 6. Let a(d) = 5*v(d) + 3*w(d). Let l be a(7). Solve -13 - 2 = l*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 4*u**2 - 3*u**2)*(-5 + 2 + 2) + 0*u**2 - 2*u**2 + u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 2\/9 (c) 3 (d) -2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 28. Let m be b(-19). Suppose 0*i = m*i - 36. Let t = -8 - -18. What is the least common multiple of t and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -380, 2\/11, -0.1 in ascending order.\nAnswer: -380, -0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 29.\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 446*y**2 + 5349*y - 45. Calculate m(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18356542 to the nearest integer?\nAnswer: 4284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = m - 14*r + 16*r, 4 = -4*m - 2*r. Let l(b) = b**3 + 1. Determine l(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**2\/13 - 171468*s\/13 + 27830304\/13 = 0.\nAnswer: -85896, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**4\/8 - t**3\/6 + 25*t**2 - t. Determine f(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*4\/(-4))\/(6\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70168 and 3938.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 6) in base 16?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2314, -4606, -6892, -9172, -11446, -13714, -15976?\nAnswer: -18232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-15 - 25 - 8).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + q = 4*m - 13, -2*q - 3*m = -18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/p**13*p)\/p*p**9)**48)**(1\/6) assuming p is positive.\nAnswer: p**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/18 and 107\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 392 or 394?\nAnswer: 392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 8299\nAnswer: -5\/8299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 76676725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22365123 (base 7) to base 12.\nAnswer: -79ba80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-14))\/((-31090)\/152341)?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*(-3)\/(-84) - (-4163)\/(-92). What is the third biggest value in 3, 1, -2\/13, -2, l?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -601*s**3\/3 - s**2\/2 + 4955*s - 2737. Differentiate p(i) with respect to i.\nAnswer: -1202*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 2\/11*l**3 + 0*l - 2\/11*l**2 + 13 - 1\/22*l**4. What is h in a(h) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76460 (base 10) to base 8\nAnswer: 225254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.08053 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*j - 5*x, -5*j - 12*x + 16*x - 5 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0.3. Let d = 5817.1 + -5817. Let y = d - m. Which is the nearest to y? (a) 5 (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352674 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97 - 32. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5928 and 4940?\nAnswer: 29640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25243383 to the power of 1\/3, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20706 - 20712. Let d(x) = -x**2 + 4*x + 7. Let a(n) = 5*n**2 - 15*n - 29. Let i(b) = 2*a(b) + 9*d(b). Determine i(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 3:22 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen tenths of a tonne?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -576912100 to the nearest 1000000.\nAnswer: -577000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3701 + 3649. Sort d, 2\/5, 17\/3 in decreasing order.\nAnswer: 17\/3, 2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.22205 times 0.5197\nAnswer: -0.115399385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73 + 2*a**2 + 73)*(2 + 2*a - 2 + 4 + 2*a - 4 + (-4 + 3 + 3)*(-2*a - a + 2*a) - 2*a + 4*a - a + 0*a + 2*a - 4*a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*c - 14 + 82*c - 35*c in the form y*c + q and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4)*(6 + -6). Suppose v = 3*s - s. Find the third derivative of 7*t + 4*t**2 - 7*t + s*t - 12*t**5 wrt t.\nAnswer: -720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7081 - -1828.5?\nAnswer: 1829.2081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.8. Let o = l - 0. Let z = 2049.01 + -2049. Is z > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - -5.6. Let w = 96.5 - 592.5. Let m = 496.02 + w. Which is the closest to m? (a) -4 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**3\/3 + 2*c**2 - 4*c - 159. Let s(t) = 2*t - 3 + t - t**2 - 2. Let a(d) = -4*o(d) + 5*s(d). Calculate a(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31104177?\nAnswer: 3, 13, 47, 71, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7198*w**2 + 2401*w**2 + 2400*w**2 + 2397*w**2 + 42*w**3.\nAnswer: 42*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**6\/120 - 5*g**3\/6 - 5*g**2\/2 - g. Let w(o) be the first derivative of t(o). Differentiate w(c) wrt c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**4 - 1104*t**2 + 1104*t**2 - t - 1 + t**3 as w*t**2 + n*t**4 + q + i*t + z*t**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 5) to base 2\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 337 = 6*s. Calculate the greatest common divisor of 38 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123364151?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 270906.\nAnswer: 9\/90302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-307*l - 4 - 9 + 304*l)*(0 - 2 + 1) to b*l + c and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2807*g - 8980 with respect to g.\nAnswer: 2807","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 10*q - 28. What is the units digit of (4 - 6) + q + 18*11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**3 - 2*u + 2. Let c(x) = -x**3. Let t(j) = -3*c(j) - h(j). Let a be t(3). Let o = a - 136. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -5211, 4 in increasing order.\nAnswer: -5211, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 9:24 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1136 and 61\/6?\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4953, -19733, -44361, -78837, -123161, -177333, -241353?\nAnswer: -315221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961 is divided by (-18)\/(2340\/442)*-5.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11*o**3 + 694*o**2 + 73*o - 314. What is h(-63)?\nAnswer: -944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**3 - 12*n**2 + 2*n - 5. Let d be a(-4). Suppose z - 5 = d. What is the least common multiple of z and 49?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*m - 244. Suppose -m*q + 83*q - 53 = 0. Let u = q + -1. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3999829185708 + 0.76\nAnswer: -3999829185707.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*s + 53*s = 5*g, 3*g + 12 = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -291087 or -291042?\nAnswer: -291042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 2*d - 5 + 17, -5*d - k = -25 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6*o + 5. Let s(x) = 5*x - 4. Let c(d) = 4*g(d) + 5*s(d). Let h(i) be the first derivative of -4*i**3\/3 - 2. Determine h(c(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -256 + 259. Solve -3*q = -5*l, 2*l - 2*q - n*q = 19 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -12. Suppose 2*a = -a + 5*x + 31, m = 2*a - x - 9. What is the least common multiple of a and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*(sqrt(1100)*3 - sqrt(1100)) + (sqrt(1100)*-3 - sqrt(1100)) + 1 + -4)*1.\nAnswer: -9 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qvvvvvvqvqqqvvvvvvq.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 74*p**3 + 3*p**2 - 6*p + 11. Let w be v(3). Let r = -516 + w. What are the prime factors of r?\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = -15. Suppose x = 9 - 6. Let -j**c + 0*j**x - j**3 = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -44. Suppose -3*q - 426 = -3*l, -l + 2*q = f*l - 558. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d*v**5 - 157*d*v**2 - 111*v**5 wrt v?\nAnswer: -120*d*v**2 - 6660*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 30 = -2*t, -3*a - 36 = 4*t - 7*a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g - 1. Let k(r) = -2*r. Let q(f) = -2*k(f) - t(f). Calculate q(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u - 21. Let r be s(-7). Suppose 9*q - 34 = -r. Solve c = -q*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -238491.11 to the nearest 1000.\nAnswer: -238000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8678 take away -274380174.1?\nAnswer: 274380174.9678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4868879464?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*s - 36*s - 27*s - 2062750. What is s rounded to the nearest one thousand?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(13) - sqrt(52)\/(sqrt(4) + (sqrt(4) - (sqrt(4)*2 - sqrt(4))))))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1101.408 * 10\nAnswer: 11014.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 2*a. What is the tens digit of f(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 3. Let u be r(6). Suppose -u*s = 5*x - 51 - 19, 0 = 2*x - 3*s - 28. Suppose 0 = -4*p - 0*p + 48. What is the least common multiple of x and p?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1310, 1402, 1554, 1760, 2014?\nAnswer: 2310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 + 2*n**2 + 2*n**2.\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o**2 - o + o**2 - 13*o + 5*o wrt o?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-23\/3)*z\/(z\/z**2))\/((z*z**(-7\/3)\/z)\/z**(-13)) assuming z is positive.\nAnswer: z**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103\/(-3) - (-6538)\/(-9807).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + ((sqrt(152) - (sqrt(152) - sqrt(152)*1))*-2 - sqrt(152)))\/(sqrt(72) - sqrt(72)*-3).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 79, 101, 123?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 137 and 548.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1177*g - 187. Let r(q) = 19*q + 3. Give -6*n(s) - 374*r(s).\nAnswer: -44*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + 1.36290717?\nAnswer: -63.63709283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 354 + -145. Calculate the highest common factor of 57 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11661 - 133704?\nAnswer: -122023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*g - l = 958, 0 = 2*g + 5*l - 616. Suppose 0*i + 4*i - 10328 = 0. Suppose -h - i - g = 0. What is h rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72\/5 of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggddgggdgdd. What is prob of sequence gdgg?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehhz when four letters picked without replacement from {e: 6, m: 2, t: 1, n: 5, z: 3, h: 2}?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2327954 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + 3 - (4 + sqrt(5) + -4).\nAnswer: 3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/9)\/(q**8\/q)*(q**(-2\/13)\/q*q)\/q**(1\/10) assuming q is positive.\nAnswer: q**(-8747\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63772.048933 - -63772. Let q = 11.3 + -11.349. Let o = q - p. What is o rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (52\/8 + -1).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d21c2c (base 14) in base 12?\nAnswer: -2451694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 712.\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmz when three letters picked without replacement from {m: 4, z: 1, k: 2, u: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1127214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0)*(-10 - 77*d + 136*d - 68*d) + 4*d - 4*d + 2*d in the form b + q*d and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749953 is divided by 5315?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 324 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1808, 7764, 17688, 31586, 49464, 71328?\n\"Answer: g**3 + 1978*g**2 + 15*g - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1184.8 - 1184.9. Which is smaller: f or -327\/50?\nAnswer: -327\/50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 488, 56, -376, -808, -1240, -1672?\n\"Answer: -432*x + 920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/(-2340)*-15*27\/(-16)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/(-12) - (-1 + 4). Do a and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (312\/2)\/2*(0 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 14. Let p be (-1)\/(-3) - 1\/j. Solve -s + 3*s + 8 = p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4658 = -42*t + 306*t + 1754. What is the remainder when 161 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132781945.\nAnswer: 5, 3547, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*i + 8 = 0, -8*f + 3*f = i - 22. Solve -f = 3*k + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011110010 (base 2) to base 6\nAnswer: 5510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -149, -208, -319, -500, -769?\nAnswer: -1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d**4 + 1 + 0*d**3 + 17*d**4 - 23*d**4 - 3*d**3 + d to v*d**4 + f*d**3 + s + w*d + b*d**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 9*b**2 + 10*b + 8. Let q be g(10). Suppose i - 2 = -2*c, -c = 3*i + 3*c - q. Suppose 60 = 4*s + 5*r - 12, i*r = 0. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - -1 - (-244 + 609390\/2886).\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.5 (b) -5\/2 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**6\/40 - y**3\/6 - 6*y**2. What is the first derivative of k(w) wrt w?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(55)\/sqrt(11) - (-4*sqrt(25) - sqrt(25))\/sqrt(5).\nAnswer: 5 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6726156 to two decimal places.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 6 = -2*l. Let b = -21 + 22. Suppose -4*t + o + 7 = -2*o, 4*o + b = -3*t. Sort 2, t, l.\nAnswer: l, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -24*s - 96. Let w(x) = -5*x - 19. Let m(f) = -2*c(f) + 11*w(f). Differentiate m(n) with respect to n.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1948569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*f + 31114 - 26569 = 0 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -7*q + 8*q. Suppose -4*s - 7*s + 44 = 0. Solve -c - d + 7 = -q*c, s*d - 4 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*x - 103*x - 2718 = 2066 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 211, 461, 711, 961, 1211?\n\"Answer: 250*o - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 307?\nAnswer: 307.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18602)\/(-12) + 6\/(-24). Let n = y + -4627\/3. Find the common denominator of n and 0 + 0 + (-11)\/(-10).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/7 - 12*r**2\/7 - 148*r\/7 - 240\/7.\nAnswer: (r - 20)*(r + 2)*(r + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -22 + 4 + 3 + 3 + 13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 171662*a. Let u(i) = -2*i**2. Determine u(r(m)).\nAnswer: -58935684488*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4662390, -4662164, -4661940, -4661718, -4661498?\nAnswer: -4661280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59\/64 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(704) - sqrt(704)) + (-2*sqrt(44) - 2*sqrt(99)))**2*3.\nAnswer: 38148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {q: 7, y: 2, i: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knik when four letters picked without replacement from {k: 4, y: 1, h: 2, i: 8, n: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.381 + 0.119. Let r = 4 - 6. Let u = -898.1 + 897. Which is the closest to u? (a) 0 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/216)\/((-101)\/(-606)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41 - 429.\nAnswer: -429.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/43, 5, 856, -5 in increasing order.\nAnswer: -5, 16\/43, 5, 856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - w**2 - 1 + w + 5 - 2*w**2. Let x(n) = -7*n. What is the lowest common multiple of x(-2) and r(-4)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 0*x + 21. Let q be 60\/14 - (-2)\/x. Which is greater: q or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4 + sqrt(13) + sqrt(637) + -1 - (sqrt(1300) - (sqrt(1300)*2 + 4 + sqrt(1300))))**2.\nAnswer: 392*sqrt(13) + 10243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + (-2 - -2 - 0) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 313009 a multiple of 557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = -6*a - 2*u - 17608, 0 = -5*a + 3*u + 17612. What is a rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 2532105?\nAnswer: -2532104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 - 0.66. Let x = o + 1.1. Suppose 2 = -2*m + 12. Put m, 0, x in decreasing order.\nAnswer: m, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2. Let o(s) be the second derivative of -s**6\/180 + s**4\/4 + 2*s. Let p(l) be the third derivative of o(l). Give n(p(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2 - 7*k + 2. Let s(n) = 9*n**2 - 15*n + 5. Let u(v) = 5*j(v) - 2*s(v). Let x(m) = 6*m**2 - 4*m. Determine -4*u(c) + 5*x(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + 1701*l**3 - 3390*l**3 + 1702*l**3 - 2 as n*l**2 + k*l + r + u*l**3 and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k + 54. Let y = -18 - k. Suppose 0 = -y*n + 239 + 580. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -83, -56, -20 in increasing order.\nAnswer: -83, -56, -20, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 8 + 4. Let k be p - 1*(0 + 17643). Let x = k + 4640. What is x rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7517 - 3401. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + 3. Let t = -16 + z. What is the least common multiple of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**3 - 105*n**2 + 540*n = 0. Calculate n.\nAnswer: 0, 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/33 and -131\/648.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/3 bigger than -7\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4032979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07 + -0.0713. Round m to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/8 + 141*w**2\/8.\nAnswer: 3*w**2*(w + 47)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/((-55)\/1360)*1463\/28 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjjjjqq. Give prob of sequence jqjj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*r + s, -4*s + 13 = 4*r - 15. What is the remainder when (-31)\/(-2) - (-11)\/(-22) is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3758333 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(3 + (-80)\/27). Suppose -l = 5*l - u. What is the third derivative of -15*p**2 + 50*p**2 - l*p**2 - 25*p**6 - 23*p**2 wrt p?\nAnswer: -3000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g + 4*g - 540*g**2 + 4136*g**2 to the form y*g + p*g**2 + b and give p.\nAnswer: 3596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 89372, 357850, 805320, 1431788, 2237260?\n\"Answer: x**3 + 89490*x**2 + x - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {e: 4, x: 1, t: 1, c: 4, b: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4672251393 and -0.67.\nAnswer: 4672251392.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1525852302?\nAnswer: 2, 3, 13, 31, 631039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 3\/4, -365, -157, 3, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 6 = -t. Let z be 2\/(t\/(-111)) + -1. Let w = z + -23. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 325, 354, 383, 412?\n\"Answer: 29*k + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3426464.57 rounded to the nearest 100?\nAnswer: 3426500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 14. Suppose 0 = 5*p - 10*p + d. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*g = 224, 0*r + 176 = 3*r - 5*g. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 281449702 to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351093447?\nAnswer: 3, 353, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 3:44 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 168164889 divided by -675361\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 8*h + 38 - 23*h + 21*h - 6*h.\nAnswer: 3*h + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t + 22 = 4*s, t = 5*s - 10. Suppose -s*j - 481 = -2*c, 4*j - 7*j - 1207 = -5*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amk when three letters picked without replacement from {a: 2, d: 3, w: 3, m: 2, k: 1, r: 3}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11252735 rounded to 4 dps?\nAnswer: 0.1125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 0 - n**3 + 6*n**2 - 1 + 14 - 3*n - 4*n. Calculate the remainder when -1 - (-1 - (89 + -3 - 2)) is divided by k(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - l - 5. Give n(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*n = 19, -r + 4*n + 10 = 34. Let t be (2 - 4 - 3) + 2. Sort t, -1, r.\nAnswer: r, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-29)*b\/b**(3\/10)*(b**(-2\/11)\/b)**(-21\/2) assuming b is positive.\nAnswer: b**(-874\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in hours?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3342598 divided by 58\nAnswer: 57631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*a + 678 = 0, a = -2*a - 9. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37242.\nAnswer: 2, 3, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -8599\/96471?\nAnswer: -8599\/96471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*a - 1)*(297*a - 597*a + 290*a - 3) - 4*a**2 + 15*a**2 + 8*a**2 in the form v*a**2 + p + j*a and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 31. Suppose 3 + 32 = -5*b. Let a = p - b. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (118\/((-2537)\/43))\/((-2)\/(-89))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 57\/(-12) + 2\/(-8). Let c be ((-5)\/30)\/(12\/72). Put c, d, 2 in decreasing order.\nAnswer: 2, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - w**2 - w. Let n(z) = 6*z**3 + 7*z**2 - 50*z. Let q(d) = -n(d) - 3*y(d). What is the second derivative of q(k) wrt k?\nAnswer: -18*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3203*n**3 - n**2 + n - 46?\nAnswer: 19218*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 7*q**2 - 16*q + 4. What is x(-3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q - 16 = -34*q. Solve -1 = q*b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 344?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -223*q**3. Let u(h) = -35010*h**3. Determine -315*k(t) + 2*u(t).\nAnswer: 225*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*r**2 - 2*r**2 - r**2)*(-r - 5*r + 3*r)*(-r - r + r).\nAnswer: -3*r**4 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1656452 + -407491583\/246. Let g be (-1 - -1) + 13\/(-41). Let u = j + g. What is the common denominator of u and -73\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 7. Let i be j(-21). Let o = i - -16. Suppose p = -4*n + 378, -384 = o*n - 6*n - 4*p. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14800 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.8337178 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - (12\/(-42) - (-118)\/(-28)). Which is the closest to j? (a) -0.2 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - -4.5. Let s = 1 - g. What is the third smallest value in s, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239 = 106*k - 185 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from {o: 1, e: 1, b: 2, a: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/21*2*-7. Solve 5*t - k = 2*d + 8, 5*t = d + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**5\/36 + 85*w**4\/72 + 2*w**2 - 33. Factor q(t).\nAnswer: -5*t*(t - 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 0, -n - 4*n + 25 = -2*y. Solve n*m + 6 = -9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66016 to the power of 1\/2, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 7:37 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 - 3*z**2 + z - 1. Let t be i(-3). Suppose -1383 = -20*l - 3. Calculate the greatest common factor of t and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*f**3 + 204*f**3 - 70*f**3 - 28100 + 28100 - 73*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 7. Let o be r(-5). Suppose 2*b - 16 = -o*b. Suppose 2*f = -b*x - 3*f + 23, x + 4*f - 14 = 0. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2637 - 1748. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (-15 + 7)) + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 9*t + 12. Let s be o(13). Let z = s - -70. Suppose -2*i + 38 = -n, -n = i + 4*n - z. Solve 0 = 3*l + l - i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 5 + 5 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.77 + 0.67. Which is the closest to s? (a) 4 (b) -2\/11 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2.2. Let p = -1.6 - -24.6. Let l = p + -23.4. Sort l, 3, j in decreasing order.\nAnswer: 3, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16762)\/(-3451)*14\/4\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**4\/4 - 3*j**3 + 27*j**2\/2 - 27*j - 11. Factor k(v).\nAnswer: (v - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.1, 2\/17, -2\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Suppose w + 4*w - 80 = j. Suppose 92*h + 914 - 1909 = 1029. What is the smallest common multiple of w and h?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 13 = -6*k. Solve -4*w + 21 - k = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -378*a**2 + 90*a + 92*a + 4*a**3 - 182*a to the form b*a**2 + n*a + h + f*a**3 and give b.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -44*v**2 - 115*v + 572. Determine k(5).\nAnswer: -1103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 11 = -4. Suppose 2*g = 2*q + 402, -4*q + 0*q = 0. Let w be (16\/(-10))\/(8 + g\/(-25)). What is the highest common divisor of c and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - y = 295, 1171 = 4*b - 0*y - y. Suppose b = 7*v - 2. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-60)\/(-9))\/((-2)\/2670). What is k rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from eeeeeerre.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71*x**2*y**4 + 2*x**2*y**2 - 246*y**4 - 8*y**3 - 2*y**2 - 8377*y wrt y.\nAnswer: 1704*x**2*y - 5904*y - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + -363. Is -402 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34, -123, -280, -511, -822, -1219, -1708?\n\"Answer: -d**3 - 28*d**2 + 2*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5*t = 8*g - 7, -g + 366*t - 13 = 369*t - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3\/2 - 25*m**2\/2 + 849*m\/2 - 2295\/2 = 0. What is m?\nAnswer: -45, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -341 times -58912\nAnswer: 20088992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*x + 390*x = -p - 17, 3*x - 4*p = -3*p - 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482.0855l in millilitres?\nAnswer: 482085.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from {p: 1, l: 5, j: 1, o: 2, g: 6}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + 1)*(0*d + d + 0*d) + 0 + 0 - d - 4*d + 2 - 2 + 0 + 0 + 2*d - 1 + 1 - d + (2*d + 0 + 0)*(-2 - 4 + 5) + 0*d + d + 0*d)*(5*d**3 + 1 - 1).\nAnswer: -20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -18621?\nAnswer: -18621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 5:27 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -7*v + 4. Let g = -7 - -9. Suppose 8 = -j - g*x, -5*j - 26 = -0*x + 3*x. Does 16 divide f(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3645) + -4*sqrt(3645))\/(3*sqrt(900)) + 3 + 4.\nAnswer: -9*sqrt(5)\/10 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 977.6079 centuries to months.\nAnswer: 1173129.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 + 2*a. Let c be i(8). Let s be c\/(-52) + (-4 - -2). Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/498851 and -71\/5352.\nAnswer: 11972424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588309333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266194216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*s + 58*s = 3*h + 2, -5*s = -4*h - 10. Let z be -1*(-1 + 2) + 27. Suppose -2*v + o + z = h, 0 = -9*v + 4*v + o + 59. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5 = -8*p. Let r(h) = -2*h. Let i be r(p). Sort i, -3, -5 in descending order.\nAnswer: i, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -32*a - 149. Let m(u) = 22*u + 99. Let f = -73 - -81. Let r(q) = f*m(q) + 5*n(q). List the prime factors of r(13).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 2*l = 6*j + 48, 0 = 4*j - 8*l + 232 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 858 = -7*h. Let r = h - -71. Let m = -24 - r. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 17*u**2 - 14*u - 21. Suppose 9*s + 4 = -2*j, -7*s + 36 = 3*j - 4*s. Give c(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxxjj. What is prob of sequence jxx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 276900781472 - 276900782447.000002086. Let p = 975 + s. What is p rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 40. Let z be i(10). Suppose 23*n + 4 = z. Put 40, 0, n in decreasing order.\nAnswer: 40, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 2\/9 (c) 7 (d) -0.5 (e) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*z + 4*z - 4*z)*(-z - 6*z - 6*z)*(236 - 114 - 125 - z)*(-z + 6*z - 4*z).\nAnswer: -130*z**4 - 390*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 - -137. What is the units digit of 217 - ((-30)\/25)\/(12\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4662725*2\nAnswer: -9325450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.191346 millennia?\nAnswer: 919.1346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5+7521557467\nAnswer: 7521557462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 187631360 a multiple of 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 553010 (base 6) to base 12.\nAnswer: 22766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 - 8. Let q(s) = -11*s**3 + 8*s**2 - 16*s - 4. Let v(k) = -4*k**3 + 3*k**2 - 6*k - 1. Let t(l) = -3*q(l) + 8*v(l). What is 5*t(x) + 2*z(x)?\nAnswer: x**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*o - 1380 = -0*o - 14*o. Sort 6, 0, 40, o.\nAnswer: 0, 6, o, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*b**2 + 2 + 2*b - 44*b**3 + 27*b**3 - 11*b**4 + 22*b**3 + 0*b**3 - 2*b**3 in the form i*b**3 + m + n*b**4 + r*b**2 + k*b and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -40d0 + 0?\nAnswer: -40d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(14)\/sqrt(7)) + (sqrt(2736) + 2*sqrt(2736))**2.\nAnswer: sqrt(19) + 24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111 - -121. Solve 5*n - x = -0*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*j = -16, -7 = 2*o - 3*o + 5*j. Suppose z - o - 8 = 0. Suppose -9*l = -13*l + z. Solve 4*a = -a + l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2530*q**3 + 4*q**2 + 27*q - 1. Is j(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 6. Suppose 3*m + v - 12 = 0. Suppose m*p = 3*u - 239, 4*u - p - 187 - 135 = 0. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27968?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4579*m - 43566*m**2 + 87132*m**2 - 43564*m**2)*(-2 - 2 + 3).\nAnswer: -2*m**2 + 4579*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*i + 5*m, 5*i - 12*m = -7*m - 10. Let -2\/13*c**i + 0*c**4 + 0*c + 0 + 2\/13*c**5 + 0*c**2 = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4148)\/60 + (-44)\/30*139\/(-1529)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 - 2 + 2*a**2 + 3 - 8*a**2 + 25*a**2 - 6*a to k*a**2 + l*a + f*a**3 + v and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 - 2*q - 2. Suppose 0 = -5*b - 13 + 3. Does 10 divide f(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 149 - 86. Suppose m - r = -5. Suppose -14 + m = 4*g. What is the greatest common divisor of 22 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-80)*12\/(-518). Let y = 66051\/2590 - o. Calculate the common denominator of 101\/20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k + 19*k - 13*k - 23*k to the form z + n*k and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -436 (b) 10\/69 (c) 288 (d) -3 (e) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*s + 3*s + 15*s)*(5 + 3 - 5).\nAnswer: 105*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93)\/93 - 10\/3*-3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 27. Determine o(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261*z - 6 = 258*z. Factor -7*i - 4*i**z - 32*i - 27 + 3*i - 8*i**2.\nAnswer: -3*(2*i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 6. Sort 1, o, -5.\nAnswer: -5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.089+-0.00208373\nAnswer: -0.09108373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2 (c) -2.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0, -15, -1\/54, 3\/8, -2 in decreasing order.\nAnswer: 3\/8, 0.1, 0, -1\/54, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*y - 168 = -v, -4*y + 144 = 5*v. What is the greatest common factor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1394 not equal to -1396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/(10 - 430\/40). Factor i*n**2 + 2\/3 - 4\/3*n.\nAnswer: 2*(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000053647 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4)*((-3880)\/330 - -12)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j - 2 = 0. Let l(g) = -g + 1. Let i(b) = 45 + 44 - 84 - 5*b. Let q(f) = j*i(f) + 6*l(f). Differentiate q(n) with respect to n.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-1\/2)*z\/((z\/((z\/(z\/(z*z**(-7))))\/z))\/z))**(-1\/52) assuming z is positive.\nAnswer: z**(9\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 539948 and 184?\nAnswer: 1079896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 589139.2 days in nanoseconds?\nAnswer: 50901626880000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3891018418?\nAnswer: 2, 7, 277929887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384 divided by 24.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 640 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 10:57 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**3 - 143*n + 248*n + 71*n + (4*n**2 - 2*n**2 - n**2)*(-n - 4*n + 4*n).\nAnswer: -5*n**3 + 176*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1*6)\/(-2))\/((-339)\/(-1808)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 429?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 8:29 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1235 + 1236. What is the nearest to -6 in -4\/5, o, -1, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2000223 (base 6) to base 5\nAnswer: 10442044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**1\/u*u)\/u)**20)**(3\/5) assuming u is positive.\nAnswer: u**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f58 + 13?\nAnswer: -1f45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**3 - 2*t**2 - 5*t + 5. Let l(x) = x**3 - x + 1. Let g(f) = -5*l(f) + v(f). What is the third derivative of g(m) wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2\/2 - 1206990*d + 145682486010.\nAnswer: 5*(d - 241398)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30962.4 nanometers to meters.\nAnswer: 0.0000309624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.49 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2. Let o(v) = -208963*v**2. Give o(h(t)).\nAnswer: -208963*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3035842 divided by 1.\nAnswer: 3035842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2195)\/20)\/(3\/(-12)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8064)\/39424)\/(8\/(384\/18))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5736*j - 6352 + 11473*j - 5737*j - 10984*j**2 wrt j?\nAnswer: -21968*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d\/(d**8*d))))**(-1\/28)\/(d*(d*d\/d**7)\/d)**(-3) assuming d is positive.\nAnswer: d**(-59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(4\/7)))\/d)\/(d**(3\/19)*d*d)*(d**(2\/9)*d)**(-9\/10) assuming d is positive.\nAnswer: d**(-4903\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + ((-3)\/(-3) - -2). Suppose 0 = 3*w - 5*w + x. Sort 2, 7, w in increasing order.\nAnswer: 2, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p**3 - p**2 + 5*p + 7. Let f(i) = i**3 - i**2 + i - 1. Let c(h) = 5*f(h) + v(h). Let r be c(-7). Let s = 32 + r. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 877795807 to the power of 1\/3, to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(11))**2 + -1 + (sqrt(77)*-2 - sqrt(77) - sqrt(77))\/sqrt(7).\nAnswer: -4*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.54947ml to litres.\nAnswer: 0.01754947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(91)*1 - sqrt(91))\/(sqrt(7) + 3*sqrt(14)\/sqrt(2)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xptxttptpppxt. Give prob of sequence ttx.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 111. Calculate the remainder when s is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.389 and 1.09?\nAnswer: 0.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*z - 11. Let l(v) = -v + 3. Let p be l(z). Let r be (10 + 0)*(-2)\/(-5). Solve s + 5 = r*t, s - 2*s + t - p = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11531043 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*f = -14, -2*o + 2*f - 6 - 2 = 0. Is (109\/218)\/(o\/59434 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17037 is divided by 683.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + 8*u - u**4 - 2 + 3 - 9*u as o*u**3 + d*u + m + x*u**4 + h*u**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -7*z**5\/20 + 2*z**3\/3 - 13*z**2\/2 - 419*z + 5. Let j(l) = -8*l**3 + 5*l - 13. What is -4*j(u) + 5*m(u)?\nAnswer: -3*u**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 13*z + 333. Calculate the remainder when 106 is divided by h(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*w + 6 = -w, -5*u = w - 7. Let i be 5 - u - (1 + -3). Suppose -5*k + 35 = t, -2*t - k = -i*k. What is the greatest common divisor of t and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80\/3 + -79\/3. What is the closest to 1 in 2, -5, 24, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 325 and 45?\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -23123067*p. Let s(z) = -2*z. What is f(s(m))?\nAnswer: 46246134*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3 = 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 67*n + 256. Let k be s(-30). Let x = -183 - k. List the prime factors of x.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1849460 (base 12) in base 3?\nAnswer: -100112212200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(1\/(-3)))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -11. Suppose -3*u + 4 = y*r - 3, u + 1 = 0. Let f be 10\/r - (-6 + 4). Sort -4, 5, f, -5 in decreasing order.\nAnswer: 5, f, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.3 at least -474\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -25547\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/29 in 14, -0.3, 1.2, 3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 275*m - 340 + 7*m**2 + 683 - 343.\nAnswer: 5*m*(m - 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2414045 (base 6) to base 3\nAnswer: -20102200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -13, 0.06, 5, 4, 1\/10 in increasing order.\nAnswer: -13, -2\/17, 0.06, 1\/10, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 662*w**2 - 318*w**2 - 332*w**2 - 2*w in the form y*w + l*w**2 + z and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**2\/19 - 63198*w\/19 - 63200\/19 = 0.\nAnswer: -1, 31600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 153*k**2 + 144*k**2 - 298*k**2 - 5 - 26 - 13*k. Give b(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 32793 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 800934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 15) to base 13.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - w + 383 = -y, 403 = -y - 3*w. What are the prime factors of 2\/(2\/3*(-12)\/y)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -6509?\nAnswer: 6511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, b: 2, k: 5, y: 2, t: 2}. What is prob of picking 1 t and 1 k?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5070794 millimeters in micrometers?\nAnswer: 507.0794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84357873 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 + 1 = -13*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7251 * -0.16446.\nAnswer: -1192.49946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -90562 and 373285908.\nAnswer: 373195346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -1\/6*d**2 + 28 + 1\/24*d**4 + 0*d - 1\/18*d**3. Determine s so that n(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 44 = -m - 0*b, 3*m - 134 = 4*b. Suppose -3*j - m = -6*j. What is the tens digit of -3*(-2 - j\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -333 + 766 - 433 + 79*o - 394*o. Let c(z) = 26*z**2. Give i(c(v)).\nAnswer: -8190*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3998 - -4127. What is the remainder when 237 is divided by g?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-44)\/(-14))\/(-11 + 546\/49). Put d, -5, -2 in decreasing order.\nAnswer: d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 3*f - 3*f)*(1 - 2 + 6)*(-43*f + 114*f**3 + 43*f) as w*f**2 + c*f**3 + j*f**4 + z + r*f and give j.\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68288233 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1289101?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492 = -98*s + 285 + 1183 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*h = -453 + 1829 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4231980 and 75276?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1149*j - 114050 - 11191 = 0 for j.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a decade?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20167509 to the nearest integer?\nAnswer: 4491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i = 0. Let p = -2.1 - -2. Let s = 6126 - 6129. Which is the closest to p? (a) i (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15800 and 11218316?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 5:20 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z + 4*d = -134, 3*z = -5*d + 170. Suppose -47*x - 654 = -z*x. Suppose -28*m = -30*m + x. What are the prime factors of m?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3045 = 4*k + 2*y + 3057, 2*k + 3*y + 2 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-18)*(-18)\/(-14)*(-28126)\/147.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2615322?\nAnswer: 2, 3, 401, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*y - 222842 = 537878. What is the highest common factor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -55, -57, -59, -61, -63, -65?\n\"Answer: -2*o - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16 - ((-1265)\/(-143) + 7). Sort 0.4, 4, p.\nAnswer: p, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 153*o - 20*o in the form h + a*o and give a.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6399 and 5767.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(0*g - 3*g - 5*g)*(2*g - 1 - 2*g + 2*g).\nAnswer: 16*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111 + 11100100111101011?\nAnswer: 11100100111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 3 - 0) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 84 and -224704992.\nAnswer: -224704908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 340 and 370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 319 + -329. What is the second smallest value in b, -3\/5, -2\/21, 0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1638703120 and 6.\nAnswer: 4916109360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.41 - 0.11. Let o = 5 - h. Let s be (-1 - -4)\/1 - (-104)\/(-32). What is the closest to s in o, 2, -2\/17?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -2.44028?\nAnswer: 7.32084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(sqrt(468) + sqrt(52)).\nAnswer: -4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 592 + -574. Put c, 1\/6, -4 in increasing order.\nAnswer: -4, 1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -821 or -2126?\nAnswer: -821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/4 and 33\/292.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*b + 66*b + 24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 9 - 4 - 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 - 64. Let u(n) = r + n - 14 - 20 - n**2. Determine u(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 7 - 10 = 0, -2*n + 18 = -3*y. Let d(z) = z**2. Let l(v) = 6*v**2 - 3. Give y*d(b) + l(b).\nAnswer: 2*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -9129*c**3 - 13*c**2 + 36*c - 6. Let i(t) = 9130*t**3 + 11*t**2 - 30*t + 5. Give -6*i(q) - 5*j(q).\nAnswer: -9135*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + s**2 + 4*s - 368 + 314. Let j be b(-11). What is the closest to j in 0.4, 0.3, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o - 12. Let b be (-307)\/(-3070) - (0 - 169\/10). Determine p(b).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -186, -367, -548, -729, -910, -1091?\n\"Answer: -181*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -8. Suppose p + d*p = 16. Suppose o - p*z + 103 = 4*o, 5*z = 4*o - 189. 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 least common multiple of 88 and 20*(9*(-3)\/(-36))\/(3\/8).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196760.256 plus 34.655?\nAnswer: -196725.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7600 and 6950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g - 18. Calculate k(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 1, e: 1, w: 1, j: 1}. What is prob of picking 1 b and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 62384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001001101 + -100110110111?\nAnswer: -101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*z + 66. Let y = -22 + z. Differentiate 8*a**2 + y - 1 - 1 + 6 wrt a.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000003275 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 802.\nAnswer: -5614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1082800, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61613407 a multiple of 1560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*-3*(-4)\/(-1). Let p be 2\/10 + ((-6)\/14 - (-376)\/1645). Solve 4*k + 4 - x = p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-108)\/(-6))*0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cb56bc80 + -4?\nAnswer: cb56bc7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 5:07 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 27*d - 14. What is u(-22)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 10:56 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3632745593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -11, -23, -41?\n\"Answer: -3*h**2 + 3*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 1644, 5582, 13248, 25884, 44732, 71034, 106032?\nAnswer: 150968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -151, -283, -397, -499, -595?\n\"Answer: -h**3 + 15*h**2 - 170*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13911 + 13929. What is the third biggest value in 1\/2, w, 0, -27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3897)\/(-171) + (-296)\/(-1406).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-129)\/((-9933)\/5852))\/(8\/(-2)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -211 + 211. Let l(c) = -c**3 - c + 5. Give l(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 17 - 5 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from {f: 1, l: 1, k: 7, m: 1, g: 8, z: 2}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2571 is divided by (12\/(-12))\/(5 - 9)*88.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -3. Let k be 6 + (-12)\/r - -2. Put 2, -3, k in ascending order.\nAnswer: -3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24805, -4\/83, -4?\nAnswer: -24805","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 224*j - 2911. Determine x(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2*p - 10, -4*p + 7 - 21 = -2*q. Let l be 26\/(-6) - (-1)\/q. Does 16 divide 1\/(-2) - 158\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (9 - -67 - (2 + 4))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*j = -204, -j = -2*q - 3*j + 90. Let z = q + -20. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1778, 1824, 1892, 1982, 2094, 2228?\n\"Answer: 11*q**2 + 13*q + 1754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -95*y**2 - 2*y - 3 - 7*y + 94*y**2. Let u be (-3705)\/513 - (0 + 4\/(-18)). Determine w(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + -2. Let n = 10 + g. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g = 12 + 113. Put g, 4.05, -0.3 in decreasing order.\nAnswer: 4.05, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/27*(162\/45)\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1262834 by -58.\nAnswer: 21773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -3. Suppose 3*l + 135 = 4*u + u, 5*u + 115 = -2*l. Let o = -55 - l. Put h, -2, o in ascending order.\nAnswer: o, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 - 22. Let j(h) = -h**2 + 4*h - 8. Let r be j(4). Let o be b\/10*r\/(-14). Is o greater than 5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 82*k**2 + 4*k - 4. What is m(2)?\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 32 - 12 + 46*w**2 - 8.\nAnswer: 46*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/23590 - 15333\/11795. Find the common denominator of w and 89\/1170.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (126\/(-819))\/((-2)\/26)*11\/1\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*t = 4*f + 5, 0 = -5*f + 2*t + 23. Suppose -2*l = f*r - 6, -4*r = -5*l - 0 + 15. Solve r = 2*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-36.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/5 + 4862*l - 29548805.\nAnswer: -(l - 12155)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-10))\/((-64)\/(-160))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -50.278+-0.88\nAnswer: -51.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.483 + -0.017. What is the nearest to 0.2 in t, 5, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**5 - 38*k**4 + 446*k**3 - 1240*k**2 - 3975*k - 2250 = 0.\nAnswer: -1, 10, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q + 15*q + 34 + 2 = 0. Let w be -2 + 0\/2 + 5. Suppose g - 3 = -3*b, -5*g + 15 = 2*b + w*b. Solve 0 = -b*t + 3*t + q*h + 21, 0 = -t + h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5125*h**3*j - 3*h**3 + 1862*h**2*j - 2*h**2 + 134*h + 5*j + 30253 wrt h?\nAnswer: 30750*h*j - 18*h + 3724*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1493*u - 1479*u - 56. Solve -4*z - u*z - 16 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 237 or 423?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*s - 24. Let x = -2 + -3. Which is the closest to -1? (a) -2\/15 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**0*j)**(6\/5))**(-7\/2) assuming j is positive.\nAnswer: j**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 225303439?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*w**4 + w**4 + 0 - 1 - w**4 wrt w.\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 457 divide 13105813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2526)\/2105)\/((192\/210)\/8).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -197 + 196.23. Let b = m + -44.23. Sort b, 5, 0.\nAnswer: b, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454943 = 48*y - 227605 - 227722 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 166.2 - 166.1962832. Round n to four dps.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 25 - 2*h - 20 + 2*h - h. Let y be p(11). Let g be -1*(-5)\/10 + (-75)\/y. Solve c = -4, 0 = b - c - c - g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 205 - 289. Suppose 4*t - 5*p = l, 0 = 2*t + p - 8 + 1. Let z = -2 - -7. Solve 0 = s + z*x - 6, 0 = -4*s - 0*s + t*x - 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 3:32 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l + 10. Let n be y(4). Let b = -5 + n. Is (-5 - b)*(-42)\/(-9) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/6 - 197*k\/6 + 935\/3 = 0. What is k?\nAnswer: 10, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3.2. Let v be 4\/15 + 3\/(-5). What is the closest to h in v, -1, 2\/15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvsuvvscv. Give prob of picking 3 v and 1 u.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 65 * 128264\nAnswer: 8337160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11493240 divided by 2298648?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, l: 1}. Give prob of picking 1 m and 1 l.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 66815 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4, -181, -752, -1925, -3916, -6941?\n\"Answer: -36*y**3 + 23*y**2 - 2*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/6)\/((-2)\/(-60)). Let y(h) = h**3 + 10*h**2 + 13*h + 11. Let l be y(-8). Suppose -l = -i - 5. What is the highest common factor of d and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/2 - (1 - 154*1). Suppose 0 = -148*h + c*h - 66. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (496\/56)\/((-2)\/(-14)*1). Suppose -u = -h - 53. Solve -5*c + h = -3*d - 4, 2*d = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -c?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/(-1218))\/((-8880)\/56). Is r greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 4*c**3 + 0*c**3)*(-3 + 0 + 2) + (c + c - c)*(c**2 - 6*c**2 + c**2) - 2*c - c**3 + 2*c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8575 is divided by 262.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 146243 + -146238. Let s = 7 + -3. What is the second smallest value in x, -9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.10886 hours in seconds?\nAnswer: 191191.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70*(-73 - 4530\/(-60) - (1 - -1)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 6. Suppose -2*a - 2*p = -l*p - 12, -3*p = -12. Suppose -4*j - a*m + 9 = -109, 0 = 2*j - 3*m - 47. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b5b5a (base 13) to base 5.\nAnswer: 1123223343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**3 - 18827*t**2\/2 + 22094544*t + 555309225\/2 = 0.\nAnswer: -25\/2, 4713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/9 and -16\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140638, 140628, 140618, 140608?\nAnswer: 140598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 41. Let x(c) = 5 + 3 + k*c - c - 8*c + c**2. Let g be x(8). What is the highest common divisor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 51223 = 3*o, o = -g + 2794 + 7457. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14 - (4472\/(-24))\/(-13). Which is the nearest to 3? (a) -24 (b) -3\/10 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75347 is divided by 60.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7785, 7788, 7801, 7830, 7881, 7960, 8073?\n\"Answer: h**3 - h**2 - h + 7786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10161 divided by -3?\nAnswer: 3387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 67\/2. Let k be 9\/7 - (-4)\/(-17 + 13). What is the nearest to k in -0.4, 5\/4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -25*w**2 + 815*w + 205. Calculate p(33).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 1\/2*g**3 + 0 + g**2 - 54*g. Suppose 2*z + 0*z - 5*r + 31 = 0, -2*z = 5*r - 19. Give h(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3432*u + 4. Let z(b) = -112*b + 1. Determine n(o) - 4*z(o).\nAnswer: -2984*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d - 5*d + 6*d)*(-d**2 - d**2 + 0*d**2) + 57*d**3 + 84*d - 14*d**3 - 82*d - d**2 as r*d**2 + n*d**3 + t + i*d and give n.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1889 is divided by 1879?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 19. Let f(u) = -u**3 - 4*u**2 - u - 2. Give f(q).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 71*i - 70.\nAnswer: -(i - 70)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 6:06 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 149 = b - 0*b, 3*x - 220 = 2*b. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z - z - 79*z**2 + 83*z**2 as k + b*z**2 + n*z and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*l = -228, -28 - 172 = -4*g + 4*l. Suppose -g = -5*d + 16. Calculate the smallest common multiple of (-4)\/(-16) - d\/(-8) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**3\/3 + 2048. Let m(a) = -282*a**2 + 6. Give m(x(o)).\nAnswer: -282*o**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f + 420. Determine c(-43).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + z + 7 = 0, -2*o = -5*o - 2*z - 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.47 take away 2423?\nAnswer: -2344.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 89, 105, 117, 125, 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/5333 + 357413\/271983. What is the common denominator of -65\/201 and f?\nAnswer: 3417","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(12\/225))\/(67\/(3015\/(-225)))\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.396 + -0.096. Let h = 2\/373 + 700\/8579. Sort h, -1\/3, d, -4 in ascending order.\nAnswer: -4, -1\/3, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**2 - 5021. Let t(p) = -11615*p**2. Determine o(t(c)).\nAnswer: -23230*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + -2 + 4 - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 81394, 163114, 245154, 327514?\n\"Answer: 160*f**2 + 81240*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.401?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5373755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1371.\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -27.00000026. What is a rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -16, -4, 24, 74, 152?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 5 = 0, -5*i - 48 = 5*c - 13 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (130\/3)\/(8\/(-44)*154\/84*2)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 7 + 51 = -4*b - 3, u - 654 + 658 = b for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d + b?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**(-3\/5)*(d**(-2)*d)**(6\/11)*d**(-1\/2)*d*d**(-6)*d*d**(4\/3)\/d**2 assuming d is positive.\nAnswer: d**(-1489\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000688164003 to five decimal places.\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 18335689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 7*m**2 - 8*m + 1. Let i be u(8). What is the closest to i in 1, -3\/5, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l. Let i(f) = -51369206*f - 22. Give h(i(w)).\nAnswer: 102738412*w + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - -3*((sqrt(117) - (sqrt(117) - sqrt(117)*2)) + sqrt(117)))*3)\/((sqrt(18) + sqrt(1152)*-1 + sqrt(1152))\/sqrt(2)).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -164\/1439291 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 78 = -6*j. Differentiate -725*d**j + 14 + 737*d**3 + 2*d**4 - 59 with respect to d.\nAnswer: 8*d**3 + 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -10 - 2 - (-3 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4 - (-5)\/(-10). Which is the nearest to 2? (a) 0.3 (b) q (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21497, 82497, 184163, 326495, 509493, 733157, 997487?\nAnswer: 1302483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 108123.5 meters?\nAnswer: 108123500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -64*a + 627. Let u be k(10). Let r(w) = -3*w**2 - 41*w - 17. What is r(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 20*s**2 + 3. Let q be d(-20). Let a be (-204)\/(-176)*4 - q. Which is smaller: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + sqrt(75)*2)*-1 + 1.\nAnswer: -15*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -153? (a) -5048\/5 (b) 3 (c) -5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-45))\/(2\/(-15))*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*t + 0*t - 11*t)*(-1 - 3 - 11)*(0*t**2 + t**2 + t**2) + 2*t**3 + 0*t**2 + 0*t**2 + (0*t + t + 0*t)*(-t**2 - 5 + 5) + 3*t**2 - 3*t**2 + 2*t**3.\nAnswer: -2277*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-157251)\/230)\/53 + 1\/(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/11)*o**12)\/(o**10)**43 assuming o is positive.\nAnswer: o**(-4596\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.8 + 14.8. What is the fourth biggest value in -0.5, a, -1.3, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29.9, -5, -15, 7, 1 in descending order.\nAnswer: 7, 1, -5, -15, -29.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 4772082974961.1\nAnswer: -4772082974965.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755995961.\nAnswer: 7, 3733, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22757 divided by -7?\nAnswer: -3251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 3)\/(-2) - 0. Let q = 8 - n. Is 1095\/q - (-1)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 8 = -m. Let r = m + -4. Suppose -5*y + 15 = -r*k - 48, 5*y - k - 72 = 0. Solve 0 = 4*z + y + 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkkkmkmkkmmm. Give prob of picking 2 k and 2 m.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z - 3. What is s(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfyfxvyyfy. What is prob of sequence ffv?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 28. Let i be u(-11). Suppose 207 = 11*c + 152. Solve 0 = i*w - 6*w - c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2123 and 101583.662.\nAnswer: 101583.8743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 35 = -163*k + 164*k, 3*k - 1 = q. Let o = 0 - -2. Solve k*s + 14 = o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 106? (a) 2 (b) -9 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 (base 16) in base 15?\nAnswer: 64e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4\/4 - 25*h**3\/4 - 65*h**2\/4 - 35*h\/4.\nAnswer: 5*h*(h - 7)*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from eeeeyeye?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 137 = 139 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 20 = 0, s = g + 44 + 101. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-274 - -263) + 32 + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 68*a - 26*a - 268 - 7 = 172, 3*c + 259 = -5*a for c.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 725807013 to the power of 1\/3, to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1022921*i**2. Let k(w) = 15*w**2. What is u(k(a))?\nAnswer: -230157225*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {w: 2, z: 9}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -7. What is the units digit of (x - -1) + 9*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1009*m = 1556*m - 7462*m + 283515 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.05+1.5059526625\nAnswer: 1.4559526625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 16762*t - 70241161.\nAnswer: -(t - 8381)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + x + 2 - 2*x + x + 0*x + (-3 - 3 + 5)*(1 + x - 1) + (-x + x + 2*x)*(0 + 2 + 1).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvtb when four letters picked without replacement from eqbqettveeqebttsve.\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 8\/30)\/((-24)\/15)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 2:43 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1658 (base 11) in base 15?\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.1. Let v = -3966 + 3959.902. Let i = v - -0.098. Sort t, i, -1\/5.\nAnswer: i, -1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1318 by -2.\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5097 divided by 1699\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 3. Let v = 3 + 2. Suppose -v - 7 = -3*j. Let b be f(j). Solve b = -p - 2*t, t + 2 = -t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmw when three letters picked without replacement from {x: 5, m: 3, c: 4, o: 4, w: 1, z: 1}.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-2 + 63) - ((-177)\/33 - 664\/(-1826))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 15*p + 1603 = 0. Calculate the remainder when p is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (43 + 8096\/(-138) + 19)*(-3)\/(-16)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 4, -7*w + 2*w + 18*z - 17 = 33 + 27 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-1 + 4\/16*3). Suppose 0 = 4*l + j - 395, -4*l + j + 2*j + 383 = r. Suppose l = w + 35. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**2 + 2*b + 5. Let c(n) = n**3 + 8*n**2 + 12*n - 7. Let i be c(-6). Let r(x) = -9*x**2 - 4*x - 11. Let q = -9 + 6. Give i*z(j) + q*r(j).\nAnswer: -j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 12:12 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*w**2*y*z + 2*w**2*y - 176*w**2 - 3*w*y + 4*w*z - 8*y*z + 17*y + 2 wrt w?\nAnswer: -36*y*z + 4*y - 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11254447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 + 55.05. Let y = q + -0.05. Is -8 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opopoouuuuppouohp. What is prob of picking 2 u and 2 o?\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 + 2*l**2 - 2*l - 5171. Let r(i) = 5*i**3 + 3*i**2 - 2*i - 5171. Let t(d) = -3*f(d) + 2*r(d). Is t(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.499 rounded to 2 decimal places?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*a + 43402, 0 = -3*g - 0*g + 3*a + 26034. Does 52 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**4\/4 + 4*n**3\/3 + 15*n**2\/2 - 18*n + 120. Find m such that c(m) = 0.\nAnswer: -3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -7. Let y = 7.2 - x. Let i = y - 3.2013. Round i to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4277 - 4228. Calculate the remainder when 3282 is divided by a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2784286 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0 - 3 = 0. Let f(x) = -2*x + 3 - 2 + 6*x**2 + 0*x**2. What is f(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*((-42)\/8 + 3). Let a = f - 6. Suppose 0 = -c + 7 - a. Calculate the remainder when 6 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 7*u - 6. Let c(q) = 2*q + 2929*q**2 - q**3 - 5 - 8*q - 2929*q**2. Suppose 4*l + 5*i + 32 = 42, -i = -l + 7. What is l*c(s) - 4*z(s)?\nAnswer: -s**3 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 327 - a + 3*a + 284.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w + 3*w**2 + 8*w**2 - 7*w**2)*(-3*w**2 + 0*w**2 + 2*w**2) + 3*w**4 - 3*w**4 + 2*w**4.\nAnswer: -2*w**4 - 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18423325 divided by -28475.\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (219 + 245 - 707)*(2*j - 1 + 1) - j + 4 - 4 + (-j + j + j)*(-7 - 5 + 3) - 2 + 2*j + 2.\nAnswer: -494*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 66014230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence niv when three letters picked without replacement from {c: 3, s: 4, i: 4, n: 4, v: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3. Let r(o) = 283*o - 11. Give -4*f(t) - r(t).\nAnswer: -283*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bfzpzbfpfvfpbbpb. What is prob of sequence bzfp?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcvvcvcqvvuv. What is prob of sequence cvcq?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uueu when four letters picked without replacement from ududdue.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631*r = -629*r + b + 12, -4*r + 9*b - 2 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-18) - (-884)\/24. Suppose l + 3*k = -l + 89, k = l - z. Calculate the highest common divisor of 16 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*1\/(-1))\/(86\/(-172)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -0.1. Let c be 432\/(-36) + (-97)\/(-9) + 1. What is the nearest to k in -0.008, c, 3?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 58*p - 68. What is z(-29)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/(-6) - -1*5. Solve -3*t = 0, 4*i - 4 = 2*i + d*t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4059 and -4059 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403*w + 1138650 = -383*w + 116870. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - z**2 - z - 8. Let g be f(-5). Suppose -g = 2*y - 801. Round y to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f**3 - 4*f**2 - 141 + 4*f**2 + 141.\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -176992.8 times 0.187\nAnswer: -33097.6536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g + 1 + 2 - 4 + 2*g. Let n(w) = w**3 + 5*w**2 + 6*w + 9. Let d be n(-4). Give f(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69201.\nAnswer: 3, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5811.398 seconds?\nAnswer: 5811398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 31 = -2*g, g + 3*g + 3*r = 63. Find i such that -g*i**2 + 3*i**5 + 2*i**4 - 6*i**4 - 5*i**4 - 27*i**3 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**4 - 2*y**3 + 7*y**3 + y - 4*y**3 to i*y**4 + d + j*y**3 + p*y + l*y**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 398.3 + 117.7. Let a = f + -521.024. Let o = 5 + a. Round o to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g. Let j(c) = -11 - 3*c + 36 + 4*c. Give r(j(p)).\nAnswer: 2*p + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -31*f**2 - 3*f + 1 + 3*f**2 + 19*f**2 + 0*f. Give w(2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 + -128. Suppose v - 2*b = -4*v + 9, 0 = -5*b + l. Solve -v*k + 6*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3280 by 38.\nAnswer: 1640\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 8*l + 15 = -5*w, 5*l + 3*w = -9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/(-1)*2*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -213 * -0.1\nAnswer: 21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1680951838?\nAnswer: 2, 71, 2083, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2 + 2)*(-2 + 6 + 0)*(0 - 1 + 4).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -188 or -7927\/42?\nAnswer: -7927\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, 0.3, -1\/6, 0 in descending order.\nAnswer: 108, 0.3, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.4932cm in kilometers?\nAnswer: 0.000974932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16754?\nAnswer: 2, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27464953 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 103896.023 rounded to the nearest 100?\nAnswer: 103900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3593331 and 21.\nAnswer: 3593331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1010198 - 378075 = -9*r + 504850. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (145\/(-48) + 3)\/((-2)\/(-4)) and 16\/93.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owwoooooooo. What is prob of picking 3 o?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -23966*s + 146. What is the hundreds digit of b(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 11*r. Suppose r = -4*c + 63 + 13. Sort c, 5, 2.\nAnswer: 2, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by -3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -2. Suppose -z*c = -c + 35. Let j = -3 - c. Calculate the smallest common multiple of 3 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.02869 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 245*h - 7956. Calculate i(28).\nAnswer: -1096","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o + 2*o - 55*o + (2*o + o - 4*o)*(-3 - 1 + 2).\nAnswer: -47*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2573*x**3 - x**2 + x**2 + 2572*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 (base 5) in base 15?\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f - 12. Suppose 0 = 4*p - 7*p + f. Find the second derivative of -5*s + 4*s + s**5 + p*s wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -4 + 46 - 58.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4004312647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2 - 3*i - 8. Let f(t) = 4*t**2 - 3*t - 7. Determine 6*f(d) - 5*s(d).\nAnswer: -d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4624 and 38966448?\nAnswer: 4624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 0*h + 5. Suppose -5*b = 4*y + 15, 2*y = -22*b + 19*b - 7. Calculate the remainder when b is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2214, -2216, -2228, -2256, -2306, -2384, -2496?\n\"Answer: -g**3 + g**2 + 2*g - 2216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f - 6*f)*(-2 + 2 + 2*f).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*b - 3*s, -5*s + 220 = -3*b + 250 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from ssstsssssqtstsstts?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82 (base 11) to base 2.\nAnswer: -1011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*y**5 - 2*y - y - 129*y**4 - 49*y**2 + 10*y**5 + 39*y**4 wrt y.\nAnswer: -120*y**2 - 2160*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -38, 3\/2, 2\/3, 5\/6, 14.\nAnswer: -38, -0.5, 2\/3, 5\/6, 3\/2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 444, 976, 1508, 2040?\n\"Answer: 532*x - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) -86512 (c) -0.03269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.2 times 0.58?\nAnswer: 41.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.014 (b) -2 (c) -5 (d) -1\/19 (e) 1 (f) 4\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3\/2 + 969*h**2\/2 + 83133*h\/2 + 1039095\/2 = 0. What is h?\nAnswer: -179, -129, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 6 = -7*s. Suppose 0 = 3*t - s*t + 249. Suppose 5*g + 4*i - t + 20 = 0, 9 = -3*i. Do 15 and g have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -105*v**3 - 31*v**2 + 3*v - 11. Let q(t) = -53*t**3 - 16*t**2 + 2*t - 6. Let o(p) = -6*m(p) + 11*q(p). What is the third derivative of o(h) wrt h?\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*t + 11*t + 856 = 180 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 596\/15, 1 in descending order.\nAnswer: 596\/15, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from {p: 3, i: 6, u: 2, m: 2, j: 5}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -26, -64, -116, -182?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abbn when four letters picked without replacement from {n: 7, b: 6, a: 1}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 114 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-2)\/2 - (3 + 18). Let t be -2*p\/12 - 2. Let s = 3 + -6. What is the nearest to -3 in t, -0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*w + 0)*(-60 + 16 - 8) as q + g*w and give g.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 551 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5133719.8 rounded to the nearest 100000?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5150377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -4*k**3\/3 + k + 138. Let n(l) = -3*l + 6*l - 3*l - 2*l**2. What is -3*m(s) + 7*n(s)?\nAnswer: -2*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/4)\/(a*a*a**(-6)*a))**(-1\/29)*((a*a**(-1)*a)**(-7))**3 assuming a is positive.\nAnswer: a**(-2451\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-6)\/12*(24\/(-3))\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 7\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/44 and ((-42)\/(-567))\/((-7)\/126)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, t: 1, y: 5, d: 3}. Give prob of sequence ntnd.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 9) to base 3.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-292)\/(-8) + (-1)\/2. Suppose 32 = 4*f - u. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1039.056 - -1031. What is o rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 9. Let h be (-4)\/(-2) - 3 - 2. Which is the second smallest value? (a) h (b) k (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 659. Let i(m) = -5*m**2 - 2. Give i(j(h)).\nAnswer: -5*h**2 - 6590*h - 2171407","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148 and 214748.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3094 + 3088. Let z(w) = w**2 - 5*w + 2*w**2 - 5*w**2 - 5 + 2. Let j be z(-3). Is d greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2136*q**6 - 3*q**5 + q**4 - q**2 - 8*q + 4767.\nAnswer: 256320*q**3 - 180*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/sqrt(243))\/sqrt(10).\nAnswer: sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*a**4\/13 - 5582*a**3\/13 + 251734*a**2\/13 - 175378*a\/13 - 70788\/13 = 0. What is a?\nAnswer: -2\/7, 1, 51, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -113 + 118 + 29 + 74\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -2, -4\/3, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - 81 + 1. Suppose -4*r + 9*b - t*b + 39 = 0, b - 48 = -5*r. Solve -a = 3*x - r, -a - a = -3*x + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xao when three letters picked without replacement from {a: 1, e: 1, b: 1, p: 1, o: 4, x: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*((-u**2 + u**2 - u**2)*(4 + 2*u - 4) - 4*u**3 - 2*u**3 + u**3).\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -118, 64, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30444, -30321, -30198?\n\"Answer: 123*s - 30567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-183)\/(-2745))\/((-30)\/25*-2)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/3*(-30)\/(-5). Let i = 5 + z. Suppose 0 = 4*y + 3*w + 1, -2*y - 2 = i*w - 3. Which is greater: 1\/6 or y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -l, 497 = -7*u - 2*l + 416 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -317 in 5, -0.4, -1, 1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39.025 + -7.977. What is j rounded to 1 decimal place?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2165003.26 and -0.12.\nAnswer: -2165003.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66806072?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7\/(42\/75)*(31 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1578*u - 70 = -1580*u. What is the greatest common divisor of u and 3825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 12 (b) 1 (c) -489\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 5\/4, -2, 0.01?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3401517 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5*a - 32. Let s = a + 11. Suppose 0*u = u - s. Solve 12 = -4*o - u*x, 0*x + 3*x = -3*o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*w = -38*w - 2472. Suppose 0 = i - s - 2, 0 = -4*i + 2*i + 5*s + 1. Suppose 5*n = i*x - 270, w = 4*x - 5*n - 154. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.292622 to 3 dps.\nAnswer: -0.293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 938.382ml to litres.\nAnswer: 0.938382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 31*w**2 + 34*w - 63. Let y be k(32). Sort -0.5, 0.08, y, -1 in increasing order.\nAnswer: -1, -0.5, 0.08, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 733*b**2*g**2 - 60*b**2*g + b*g**2 - 2*g**2 + 469273 wrt b?\nAnswer: 1466*b*g**2 - 120*b*g + g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 173 + -108. Let i = 5 + -1. Suppose 9*k = i*k + z. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*b**2\/5 - 966*b\/5 - 72\/5.\nAnswer: 3*(b - 12)*(27*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**2 + 26*i. Let p = -6741 + 6743. Let l(b) = -17*b**2 + 104*b. Calculate p*l(w) - 9*g(w).\nAnswer: 2*w**2 - 26*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yes when three letters picked without replacement from {e: 1, y: 3, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -54226244 (base 8) to base 13\nAnswer: -25370bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 + 0.9. Let f(i) be the third derivative of -i**4\/12 + 5*i**3\/3 + i**2. Let r be f(7). Put a, -1\/2, r in ascending order.\nAnswer: r, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 4*t**7\/21 + 5*t**3\/6 + 3*t. Find the second derivative of j(a) wrt a.\nAnswer: 160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8262.3 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1102*g**5 - 98*g**4 - 41*g**2 - 1802*g + 6 wrt g?\nAnswer: -66120*g**2 - 2352*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 10*f - 16. Let l be j(-11). Let u = l + 6. Which is the second biggest value? (a) u (b) 1\/6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (-44)\/20)\/((-4)\/10). Let p(d) = -d**z + 9*d**3 - 3*d**3 + d**3 + d. What is the smallest common multiple of 10 and p(1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t - 2*t)*(-1 + 1 - 3) + (289 + 32 + 276 + 40)*(t - 5*t - t).\nAnswer: -3179*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -28 - (-1 + 2 - 0)) + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(12\/14) + 237615\/229950\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 2*q**2 + 8*q**2 - 10*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2238 + -2237.909. Which is the smallest value? (a) f (b) -0.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32997*c**2*i*z**2 + 90*c**2*i*z - c**2*z**2 - 8*c*i*z + 4*c*z - 2*i*z**2 wrt z.\nAnswer: -65994*c**2*i - 2*c**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4586, -4239, -3892?\n\"Answer: 347*c - 4933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 29*p**2 + 5*p - 4. What is the smallest common multiple of v(1) and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(2\/(-5)) - (-77 - -75 - 13865) a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2))**3 assuming t is positive.\nAnswer: t**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, u: 6, e: 1, m: 7}. Give prob of sequence euuh.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -612, -1912, -4080, -7116, -11020, -15792?\nAnswer: -21432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -25 + 1. Suppose 5*x + 29 = o, -x + a*x + 37 = 3*o. Differentiate 1 + o*u + 3*u - u - 2*u with respect to u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 17*v**2 + 67*v + 35. Let y(b) = -11*b**3 + 4*b**2 - 5*b + 2. Let j be y(1). Let c be k(j). Calculate the highest common divisor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1759508833681 - 0.142.\nAnswer: -1759508833681.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -391698*h - 467000 wrt h?\nAnswer: -391698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(1\/5)*(v\/(v**(3\/5)\/v))\/v)\/(v\/v**(2\/11)*v*(v**2\/v)\/v))**(2\/43))**(-1\/11) assuming v is positive.\nAnswer: v**(134\/26015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5a8b08 - -2?\nAnswer: -5a8b06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4140183899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 - -188 - 229 - -222.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13653988 or 13653989?\nAnswer: 13653988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 4:55 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001412 to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*w = 256, -2*w + 128 = 4*c - 2*c. Let r = c - 14. Suppose -t = 34 - 109. What is the greatest common factor of t and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -7*r**4\/24 + r**3\/6 - 5*r**2. Calculate the remainder when u(-2) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496 (base 11) in base 12?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2810 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -4*f - 21. Solve -f*g + 2*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29498783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = y - 26, 3*d - 963 = -4*y - 914 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(88)\/sqrt(2) + sqrt(44))*-3)\/(2*sqrt(400) + sqrt(4)).\nAnswer: -6*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 521 divided by 154\nAnswer: 521\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1110312200110 + 12?\nAnswer: -1110312200032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o - 1. Let g(l) = 3*l + 41. Let p be g(0). Let i = -32 + p. What is the units digit of w(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**5\/7 + 592*j**4\/7 + 3088*j**3\/7 - 4168*j**2\/7 - 17868*j\/7 + 18360\/7 = 0.\nAnswer: -5, -3, 1, 2, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*j + 743 - 269 = -711 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29055913 to the power of 1\/3, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**3 - 11*q**2 + 15*q - 1. Let j(c) = -c**3 + c - 2. Suppose d = 0, 3*x - 2*d + 3 = 2*d. Let o(l) = x*h(l) + 4*j(l). What is o(10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296238922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = c - 648, 0*b - 3*c = -3*b + 378. Let j = b - 647\/5. Let y = -2.8 - -3.1. Is j equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 420603 and 60759.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 250\/19 + -22323\/1672. Let r = g - -3\/8. Sort r, 4, 1, -1 in ascending order.\nAnswer: -1, r, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 0.3, 42, -4\/3, 0.28, -0.4?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 5*t**7\/42 - 5*t**4\/6 + 22*t - 13. Let y(d) be the first derivative of z(d). Find the third derivative of y(r) wrt r.\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - -0.3. Sort b, -0.4, -0.2.\nAnswer: -0.4, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -64?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.33*-129.\nAnswer: 42.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -68?\nAnswer: -11\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*z - 6*z + 144, 4*f - 136 = 2*z. Let j(q) = 2*q**2 - 24*q + 106. Calculate the least common multiple of j(5) and f.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 - -0.26. Let b = m - -0.16. Let d be 2 - (57\/12 + -3). What is the second smallest value in d, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*k + 1. Let t be (11 + -12)*k*2. Which is the biggest value? (a) t (b) -0.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p + 6 + 10 + 0*p**3 + 6*p**2 - 6 + p**3. Let w be q(-7). Suppose w*k = 7*k - 64. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 3. Let b(x) = 2*x. Suppose -7 = f - 5. Let z(l) = -l**2 - 5*l. Calculate f*z(i) + k*b(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 3*z - 5*z)*(0 + 3 - 1)*(-1 - 3 - 5)*(-z - 2 + 2).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 divided by 630051?\nAnswer: -133\/630051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1332 divided by -333\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = -36*s + 437. Calculate the remainder when 196 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5628*q. Let d(t) = 232*t**2 - t. Give l(d(g)).\nAnswer: 1305696*g**2 - 5628*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -1 - (2308 + -2330).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 4*x - x - 10 = 0, -3*z - 2*x - 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(720) - -1*sqrt(720))**2 + -5*sqrt(60)\/(sqrt(12) - (sqrt(12) - 2*sqrt(12))).\nAnswer: -5*sqrt(5)\/2 + 2875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 133*k**3\/2 + 103*k**2 + 92*k. Is p(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*x**2*y**3 - 12*x**2 + 6866*x - 1174*y**3 + 49*y wrt y?\nAnswer: 6*x**2*y**2 - 3522*y**2 + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/2*(-172)\/1032?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -9271.5.\nAnswer: -370.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(68)*4)\/(-2*sqrt(196)))**2 - -6*(3 + sqrt(153) + 1*sqrt(153)).\nAnswer: 1154\/49 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*c**2 - 31*c**2 - 46*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/3)*r)**(-3\/19)\/(r**(-2\/5))**(1\/34) assuming r is positive.\nAnswer: r**(-406\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7086891167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*t + 264. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 3*i = -144. What is the highest common divisor of 80 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8274818 at least as big as 8274819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(200) - (0 + sqrt(200))) - (sqrt(36)\/sqrt(3)*-6)\/sqrt(6).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 155*k - 987. Determine d(6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39540 and 10776?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 149640 and 187050?\nAnswer: 748200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(6)*-1)\/sqrt(3) + sqrt(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z - 10. Let s be q(8). Suppose 6 - s = -4*r. Solve v = -5*x + r, -1 = 5*v - 2*v + 2*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(384)\/sqrt(12)*-6)**2.\nAnswer: 41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58 in 21\/16, -0.06, 2\/13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 22 and 41384844.8451?\nAnswer: 41384822.8451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9381 times -0.2\nAnswer: -1876.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*p + 33 = 167*p + 9*z + 146, -3*p + 2*z - 9 = -38*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30385288 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.92 rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-270)\/360)\/(1\/(8\/39))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*u - 818, -793 = -12*u + 10*u + s. Calculate the remainder when u is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 239 = -5*u, 3*u - 70 = 5*f + 51. What is the remainder when 138 is divided by u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.19 (b) 9 (c) 1\/64 (d) 99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1937.\nAnswer: 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 2 + 1)*(3*p - 5*p + 0*p)*(0 + 2 + 1)*(-5*p + 0*p + p).\nAnswer: -336*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15 + -22 - -20) + -14. Put 2.5, 3\/5, z, 93 in decreasing order.\nAnswer: 93, 2.5, 3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55324.\nAnswer: 2, 13831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 254, 507, 760, 1013, 1266?\n\"Answer: 253*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2\/9*j**2 - 4\/3*j + 0 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - f + 15. Let k be t(0). Let x be k\/12*-1*-12. Suppose 3*r = -x, o - 5*r - 6 = 24. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a factor of 1821228628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -76818 (base 10) in base 4?\nAnswer: -102300102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**2 + 209652*c - 368902280 = 0.\nAnswer: 1823, 50590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256151 is divided by 121?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3607.162 nanometers in meters?\nAnswer: 0.000003607162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 6:40 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32849 is divided by 998.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -6 - (31 + -25).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + -82. Let d = -55 - j. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-143)\/(-4) + 39\/12 + -3. Let b = 41 - o. Does 27 divide 813\/b + 3\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 927*c**3 + 14*c - 5. List the prime factors of h(2).\nAnswer: 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539712 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25084138 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 2. Let i be 6\/14*(15 - 8). Let n(w) = -w**2 - 3. Give i*d(f) - 2*n(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 11*w**2 - 2. Let c(q) = 29*q - 10*q - 17*q. Give c(r(h)).\nAnswer: 22*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*c*r**3 + 2*c*r**2 + 12*c*r + 19*r**4 + 111*r wrt r.\nAnswer: -174*c*r + 4*c + 228*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 0. Let o = -97407 - -97406.91. Which is the third biggest value? (a) l (b) 0 (c) -19 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 9*n**2 + 10*n**2 + 6*n**2.\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - r**3 + (0*r - r - r)*(-r**2 - 4 + 4) - 18*r**3 + 4*r**3 - 3*r**3 + (-r**2 - r**2 + 0*r**2)*(-r - 4*r + 3*r).\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 4:22 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwjujov. What is prob of sequence juc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/2*(-42)\/(-49). Suppose 0 = -v - 0 + f. Sort v, 1, 2 in descending order.\nAnswer: v, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -321687.1 - -321813.10132. Let g = s + -126. What is g rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ccb (base 16) to base 7\nAnswer: -12356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149*s*u**3 - s*u**2 - 65*s - 3 wrt u?\nAnswer: 894*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -40852, -40855, -40862, -40873?\n\"Answer: -2*c**2 + 3*c - 40853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Give l(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2414, -1662, 292, 4048, 10206, 19366, 32128, 49092?\n\"Answer: 100*h**3 + h**2 + 49*h - 2564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1397 and 110.\nAnswer: 13970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 3*o + 2*o)*(-158 + 223 - 134) - o - 3*o + 6*o.\nAnswer: 140*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 27 = -5*y, 4*y - 2*y - 3*h + 18 = 0. Let a = y + 7. Solve -3*c - a*g = -8, c + 0*g - 2 = -g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5604061.\nAnswer: 43, 53, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, 2\/249, 29, -12\/7 in descending order.\nAnswer: 29, 7, 2\/249, 0, -12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 11*t**2 + 10*t - 12*t**3 + 27*t**3 - 14*t**3. Determine z(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16090023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 844 - 516. Suppose -9*m + 1418 = -y. What are the prime factors of m?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/(-15))\/(10\/(-25)). Suppose c*d = d + 168. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -131, -276, -585, -1112?\nAnswer: -1911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -115 - 74. Let f = o + 339. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*k + 1, -8 = -k - 5*d + 20. Suppose -16 = 4*f, -f + 25 = -k*p + 236. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 2*x**5\/15 - x**4\/2 + 2*x**3 - 1510*x**2 - 4*x. Let c(b) = 3*b - b**2 + 0*b - 1 - 2*b. What is 10*c(a) + q(a)?\nAnswer: -2*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = w + 4*w, 2*z - 227 = -w. Are z and 108 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12289\/35 + -1757\/5. Is d less than or equal to 3903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 y when four letters picked without replacement from {m: 9, y: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, o: 5, x: 1, j: 6, p: 1, d: 5}. What is prob of sequence go?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 78*z - 149. What are the prime factors of l(20)?\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2099729, -4199465, -6299201, -8398937, -10498673?\n\"Answer: -2099736*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 5*h - 6. Let v be b(2). Let w be (-6)\/v - 11\/(-4). Let f(c) = -c**2 + w*c**2 - 4*c**2. Let m(q) = -2*q. Give m(f(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1865361 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733046?\nAnswer: 2, 313, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1148\/5, -0.18, 2\/19, -0.5, -1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1951 divided by -139?\nAnswer: 1951\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 14*i + 9. Calculate the remainder when 40 is divided by f(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 173\/4 - 16423\/380. Let a = p + -484\/285. What is the fourth biggest value in 1, a, 3, -0.02?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 935 = -5*x + u, 4*x - 5*u = 711. Calculate the remainder when x is divided by (-4)\/18 + 115630\/6714.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*1195\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11)*x\/(x\/(x*x**(-2))*x*x)*(x**(-1\/10)*x)\/x**(-15))**3 assuming x is positive.\nAnswer: x**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2645326 and 130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -5b380a?\nAnswer: -5b380d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -157, -219, -303, -409, -537?\nAnswer: -687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20420254 rounded to the nearest one hundred thousand?\nAnswer: -20400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 111 + 53. Let k = a - -166. Is 39 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a**2 + 100503*a - 401987. Give u(4).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 1 - 3)*(0 + 0 + h) - 2*h - 2*h - 3*h)*(-1 + 7 - 3*h**3 - 7) to the form q*h**2 + z*h**4 + k*h**3 + i + w*h and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 20. Suppose 0 = b*c + 2*c. Which is bigger: 2\/63 or c?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1013200320 (base 4) to base 11.\nAnswer: -190091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 33073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-1\/6)*h*h**(-13\/3)*h**(2\/3)*h**(9\/7) assuming h is positive.\nAnswer: h**(-23\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 12. What is the tens digit of d(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 465 + -401. Calculate the greatest common factor of 144 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 - 17*c**4 + 2*c**4 + (0*c**2 + 0*c**2 - c**2)*(0*c**2 - c**2 + 19*c**2) + (3*c + 2*c + c)*(-2*c**3 - c**2 + c**2).\nAnswer: -44*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07284*-0.309.\nAnswer: -0.02250756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033\/10 less than or equal to 203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17840*s**3 - 17833*s**3 + 53504*s**3 - 17832*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.111*10\nAnswer: -1.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 76349.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 1)*(6*u - 5*u + 3*u) + 0*u + u + 0*u - 160 + 160 - 15*u in the form k + m*u and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658894?\nAnswer: 2, 241, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p - 20 - 18 - 15 + 49 as b + i*p and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**4 + 11*t**3 + 89214*t**2 + 141*t + 824021 wrt t?\nAnswer: 12*t**2 + 66*t + 178428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303 - 12230223?\nAnswer: -12231031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5455 and -11.\nAnswer: 60005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*n + 117*n + 0 - 3 - 52*n.\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*q + 23*q - 1848. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4949 or -83889?\nAnswer: -83889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -h + 3, -30*h - 100 = j + 4*h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l**12*l)\/l*l\/(l\/(l*l\/((l*(l*(l*l**1)\/l)\/l)\/l)*l*l))*l\/((((l*(l*l\/(l\/(l*l**(2\/19))))\/l)\/l)\/l)\/l)*l**(5\/2))**(-2\/15) assuming l is positive.\nAnswer: l**(-271\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 + n**3 + 0*n**3 - 5*n**3 + 3*n**3 + 4*n**3 + (0*n**2 - 3*n**2 - 2*n**2)*(-3*n + 5*n - 3*n) to u*n**2 + j + w*n + f*n**3 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((1*sqrt(120))\/sqrt(4))\/(2*sqrt(294)) + (sqrt(3520) - -2*sqrt(3520))\/(1*sqrt(99) + sqrt(11)))**2.\nAnswer: 425*sqrt(5)\/7 + 41025\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 12:15 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -61.408 - -216774\nAnswer: 216712.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 13*i**2 + i - 1. Let n be v(2). Suppose -q = -2*q + n. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*l = 94*l - 10818. Suppose 5885 - l = 21*i. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12208 + 12164.1736. Let m = -44 - b. What is m rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/12 + (-78)\/(-24). Let c = -3 + n. Suppose c = -k - 4 + 2, k + 2 = 5*a. Is 2 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + 0 - (-2 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from tztzheabazbhthh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/3)*b)**(4\/15))**(-3))**(1\/16) assuming b is positive.\nAnswer: b**(-1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1138, -1429, -1720, -2011, -2302, -2593?\nAnswer: -2884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5 (b) -3\/2 (c) 2\/3 (d) -2\/11 (e) 6 (f) 0.09 (g) -22\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 36*z + 264. Let o(v) = 0 + 2*v**2 + 4 + 0*v**2 + 2*v. What is the lowest common multiple of o(-3) and p(-7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 1. Let h(z) = -9*z + 2. Let d(c) = -h(c) + 4*y(c). Let a(q) = 11*q - 13. Determine -4*a(k) + 9*d(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i*n**4 - 76*i*n**2 - 6*i + 97*n**6 wrt n?\nAnswer: -48*i*n + 11640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -0.068, 129.\nAnswer: -0.068, 58, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4264046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1831 + 1875. What is the remainder when d is divided by 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/3 - (-12)\/(-4). Let o(s) = 3*s + 2. Give o(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -432345345 (base 6) to base 15\nAnswer: -a1ae28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 28. Suppose n = -4*y - 0*n + 697, -4*y = 2*n - 694. Suppose -7*f + y = -2*f. Calculate the remainder when f is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 3)*(-1 + 3 - 3)*(-i**2 + 2*i**2 + 0*i**2).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*x + 40*x + 35*x - 123*x - 1235 - 659.\nAnswer: x - 1894","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 276604\/63 - 4390. What is the common denominator of t and 149\/126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.439837, -1, -2?\nAnswer: 1.439837","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9973653 millilitres in litres?\nAnswer: 0.0009973653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.8613 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -3. Let u be (-186)\/(-14) + (-6)\/21. Suppose -3*l = 3*p + v, -p - 5*l = 5 + u. Solve x - p - 3 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**7*x*x*(x\/(x\/x**7))\/x)\/(x*(x**1\/x)\/x)**(-22\/5))**(-24) assuming x is positive.\nAnswer: x**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1728) + 0 - ((-2*sqrt(108))**2 + sqrt(27))) + 5 + 0 + sqrt(675))*-5.\nAnswer: -8540 + 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (619*r - 619*r - 3*r**2 + (-3 + 3 + 2*r)*(-4 + 3*r + 4))*(-2*r**2 + 3*r - 3*r).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.9 and 288.798.\nAnswer: -1415.1102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26021*g**3 + 17 + 15 - 25951*g**3.\nAnswer: 70*g**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4\/11, 0.08, 1\/6, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*f - 140*f + 18*f + (0*f + 0*f + 2*f)*(4 + 3 - 3).\nAnswer: -103*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 387*a + 67*a - 806 - 234 + 706*a wrt a.\nAnswer: 1160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 4*5\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.01901 rounded to one decimal place?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmmbbb. What is prob of picking 2 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 745.\nAnswer: -747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*c - 55 = 52*c. Suppose -c*y + 1765 = -3720. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -433414122?\nAnswer: 433414126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20343 - -53466. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*o - 9 = 3, -4*m - 3*o - 12 = 0. Solve -4*t + l = m, 0 = -0*t - t + 4*l - 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -804 + 1271. What are the prime factors of a?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - m + 1)*(-m - m + 5*m) + m + m**2 - m + (2*m - m + 1 + m)*(2*m + 12*m - 4*m) + (-3*m + 2*m + 2*m)*(-m + 3*m - 4*m) + 4*m**2 - 3*m**2 + 2*m**2.\nAnswer: 19*m**2 + 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 6. Let n be o(6). Let j = -4 - n. Let f = 3.6 - 4. What is the third smallest value in j, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1149, -2013, -3443, -5439, -8001?\n\"Answer: -283*t**2 - 15*t - 851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and 823.\nAnswer: -65.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sss. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103 - -104. Which is the nearest to 0.1? (a) t (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t - 3. Let s be m(2). Differentiate 3*f**4 + s - f + f with respect to f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -193\/5 (b) 0.4 (c) -1\/5 (d) -1\/4 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 18*v**2 - 378*v - 18. What is f(-12)?\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, u: 3, w: 2, x: 3, s: 1}. What is prob of sequence xexx?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -807*y + 808*y + 5*p - 25 = 0, -p + 5 = -5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 45. Let k = w - 9. Solve 2*i - 5*d = -0*d - 16, -4*d = 2*i - k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 - 2*u + 1. Let j be p(1). Suppose h + j*k = -0*k + 52, 0 = -4*h + 2*k + 258. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1200 and 2566050.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-2)*32\/(-24). Suppose -k*m + 49 = -m. Does 23 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvbvbdbbuvbvbvb. What is prob of sequence vu?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-928 + 928 + b**4 + 14*b**3)*(-4 + 6 - 1)*(3 - 14 - 1).\nAnswer: -12*b**4 - 168*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 529.9 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 589955 and 2710.\nAnswer: 319755610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 1091*x + 4353. Calculate f(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 93611430 divided by -2\nAnswer: -46805715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znnddzndnnlyxnl. Give prob of sequence zdxy.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q = q. Do q and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**2 + 25*i**3 + 6*i**2 + 4*i**2 - 137*i + 13*i**2.\nAnswer: 25*i**3 + 17*i**2 - 137*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - -40) + 20 + 0 + -11 - (-1 - 24)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 79*w**5\/60 - w**4\/24 + 3*w**2. Let c be h(-1). Calculate the greatest common divisor of c and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.63 - -0.63. Which is the closest to -1\/5? (a) -2 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 365430.1 litres?\nAnswer: 365430100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -149\/357 - -14\/51. Which is the closest to -2? (a) g (b) -1 (c) 8.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5658 and -3574?\nAnswer: -20221692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6 = -2*o, -5*m + 0*o - o = -12. Let u(s) = 1 + 11*s**m - 3 - s - 10*s**2. Is 20 a factor of u(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01659925 to four dps.\nAnswer: 0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 30 + 2. Let l = o + 20. Suppose -62*k = -60*k - 10. Solve -a + 10 = -w - l*a, -k*w = -4*a + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 + -107.1. Which is the nearest to -2? (a) -3 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 - 2 - 3*y**3 + 3*y**3 + (-3 + 3 - 2)*(y - y - 2*y**3).\nAnswer: 2*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a - 2*a - a)*(2 - 3 - 3) + 2*a - 5*a - a to the form m + q*a and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1464\/7 (b) 2\/7 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 401 = 5*c + 61, 0 = -c + 3*v + 48. Let t = c + -566\/9. Let b = 25 - 25. Is t smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 14 + 471*i**3 - 470*i**3.\nAnswer: i**3 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 divided by 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/12074 and 41\/8.\nAnswer: 48296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b + b. Let q(l) be the third derivative of -5\/24*l**4 + 0 + 0*l + b*l**3 + 5*l**2. Let c(o) = -o**2. Give c(q(v)).\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 787883.099824 from 2.\nAnswer: -787881.099824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4729 is divided by 1298.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c - 32*c - 5*g + 35 = 0, 5*c + g - 31 - 4 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*q**2 + 5*q - 4*q**3 - 5*q + 2*q**3.\nAnswer: -2*q**3 - 22*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -95*a + 2. Suppose 0 = 3*t - 4*t - h - 7, -5*t = -3*h - 5. Let b be n(t). Suppose b = 4*x - 4*i, 0*i + 4*i = x - 33. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.391001 millennia to years.\nAnswer: 7391.001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 570*o - 18634. Determine w(-31).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -78*h**2 - 125*h + h**3 + 3*h**3 - 17*h**2 + h**3. Let q(i) = i**3 - 24*i**2 - 31*i. Let s(n) = -6*m(n) + 25*q(n). Solve s(a) = 0 for a.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 337*j + 71116. Calculate g(-212).\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 13, 28, 41?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 r, and 1 w when three letters picked without replacement from {z: 5, r: 5, h: 4, w: 1, s: 3}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 2*i = -10, 73*u = -2*i + 455 - 323 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 2, s: 1, t: 2, a: 7, p: 4}. Give prob of sequence asp.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - 1055*c**2 - 10202*c - 519. Give n(537).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13 - -1)*((-46)\/(-4) - 3). Let v be -3*(6 + t\/18). Is v >= -12\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 + 2)*(-19)\/(-95)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/5 - 867018*n\/5 - 867016\/5.\nAnswer: -2*(n + 1)*(n + 433508)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -5, -7, -9, -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1165 + -1167. Which is the nearest to -2? (a) 0.06 (b) 6 (c) h (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 8*v + 6*v + 93 + 53.\nAnswer: -2*v + 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603731 is divided by 579.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 19932143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkbbkbbmmb. Give prob of picking 1 b, 1 k, and 1 m.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 7:24 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.169794426 to three decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5022541 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -5)*-1 - -11373424. Suppose o + d - 36789 = 0. Let v = -5563363 + o. What is v rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70+86\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -54*i**2. Suppose 3*a = 3 + 3. Let l = -30 + 251. Let n(z) = l*z**2 - 223*z**2 + a*z - 2*z. Determine n(u(h)).\nAnswer: -5832*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 82 (b) 62507 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 1733*q - 42835. What is o(-24)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (13 - -5) - 20\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 1 (b) 0 (c) -3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*t + 4, -6*f + 4*f + 31 = -5*t. Solve -2*c = f*c + 3*j - 1, -3*j = 4*c + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-24))\/(1\/15). Let j = 0.2 - 0.7. What is the third smallest value in j, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -42*z**5 + 18310*z**4 - 17356*z**3 - 19180*z**2 + 17398*z + 870 = 0.\nAnswer: -1, -1\/21, 1, 435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*z**6 - 432997*z**3 - 121*z**2 - 34380*z + 25 wrt z?\nAnswer: -1320*z**3 - 2597982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12467434 is divided by 150.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2. Suppose h = 2*d + d. Let x(y) = y**3 - y**2 + 14. Is x(d) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 5:32 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 269 + -59. Suppose g - 4*g = -d. Find the common denominator of 5\/16 and 76\/g + 2\/(-7).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**14\/(a\/a**(-4)))**(-34) assuming a is positive.\nAnswer: a**(-306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 737838\/11 - 67076. Let f = 58\/7 - 610\/77. Find p, given that -2\/11 + f*p - i*p**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(38)\/(sqrt(6)\/sqrt(3)*-5).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (26\/8 - 4) + 90\/24. Let k(q) be the second derivative of -1\/21*q**u + 0*q**5 + 6*q + 2\/105*q**6 + 0 - 1\/21*q**4 + 0*q**2 + 1\/147*q**7. Factor k(i).\nAnswer: 2*i*(i - 1)*(i + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.1 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 12*k**2. Suppose -5*i = 4*j - 158, 0*i + 4*i - 116 = 2*j. Let b(o) be the third derivative of -o**5\/60 - 108*o**2. What is i*b(t) + 2*s(t)?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1242 + 191. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 371 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 162.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 - (39 - 20).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l - 47. Let p(f) = -f**2. Determine h(p(m)).\nAnswer: -3*m**2 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-162) + (-390)\/54\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 71, 46, -11, -112, -269, -494, -799?\nAnswer: -1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 21. Let y be i(16). Let d = 58 - y. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5713 (base 9) to base 4\nAnswer: -1002000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**2 + 2*j + 2. Let w be h(0). Suppose -4*i + 8*i = 3*r + 24, -16 = w*r - 2*i. Let u(y) = y**3 + 7*y**2 - 9*y - 3. Determine u(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32748, 38179, 43610, 49041?\n\"Answer: 5431*o + 27317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 10:38 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 4*((-72)\/(-4))\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*r**5 - 33*r**3 - 6945*r**2 + 2336095*r wrt r.\nAnswer: -80*r**3 - 198*r - 13890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14470 (base 8) in base 2?\nAnswer: -1100100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 21.64. Let c = -0.14 - x. Put -0.4, c, 4 in descending order.\nAnswer: 4, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 - 1890*p**2 - 176700*p + 361000.\nAnswer: -5*(p - 2)*(p + 190)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -103\/10, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 - 16*s**4 + 6*s**4 + (195*s - 1069 + 1069)*(-3*s + 3*s - s**3).\nAnswer: -207*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-96)*4*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -4*y**2 - 2*y - 39. Let a(v) = -81*v - 21. What is 2*a(q) - 21*m(q)?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375483709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10670 and -3490.\nAnswer: -14160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2100000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 94*o - 1964. Calculate r(-30).\nAnswer: -4784","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 0*v + 3\/8*v**4 + 0*v**6 + 0 + 3\/70*v**7 + 6*v**2 + 0*v**3 + 0*v**5. What is the second derivative of p(c) wrt c?\nAnswer: 108*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aalpiapplp. Give prob of picking 1 i and 1 l.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Let s be f - 2 - (-1)\/(-1). Let t(r) = 2*r + 3. Let p(d) = -3*d - 5. Let v(a) = -3*p(a) - 5*t(a). Determine v(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2736642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(0 + 0 - i) + (5*i + 5*i - 6*i)*(-1 - 1 + 1) + 2*i + 1 - 1.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3870000 to the nearest one hundred thousand.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 209\/3 + -69. Is r at least -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 523\nAnswer: 1\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - 1 + 1)*(-x**2 - 2 + 2) + 5*x**4 - 4*x**4 + x**4 + 0*x**4 - 2*x**4 + 0*x**4 + x**4 - 3*x**4 - 3*x**4.\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -574.0643 + 574. Let u = -0.245 - -0.31. Let s = c + u. Round s to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 2110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q - 12 = 0. Suppose 2*m - 1021 = -p, -5*p + 753 = q*m - 1298. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 2 (c) 4 (d) 122 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -23. Solve u*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -129*q - 1467. Let t(i) = -36*i - 419. Give 5*d(y) - 18*t(y).\nAnswer: 3*y + 207","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 2 - 142\/36. Let f = s + 22\/9. Let m = 4588 + -4589. Which is the closest to m? (a) -2\/5 (b) 14 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okiiorivokvi. Give prob of picking 2 i and 1 o.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 10*o**2 + 16*o - 5. Is u(-12) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6*d - 593. Determine i(-91).\nAnswer: -1139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 373 (base 11) to base 2.\nAnswer: 110111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 14) to base 6.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641433 is divided by 1520?\nAnswer: 1513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 3*p + 38, 3*b - 27 = 7*p - 5*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 7, -4 in increasing order.\nAnswer: -22, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 204, 274, 324?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0482298858 and -0.0258?\nAnswer: 0.0224298858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3\/7 - 164*r**2\/7 + 24*r.\nAnswer: -4*r*(r - 1)*(r + 42)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*t + x, 0 = 5*t + 3*x - 6662 + 6674 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -233675, -3, -2, 1 in descending order.\nAnswer: 1, -2, -3, -233675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1147 + 783. Let n = s - -360. What is the second biggest value in 0.01, 0.5, n?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**2\/5 + 338084*u\/5 - 492581416\/5 = 0.\nAnswer: 1483, 83038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 902 is divided by (91140\/(-868))\/(-2 + 1)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5193 + -4031. Calculate the greatest common divisor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 - 82.7. Let m be ((-6)\/9)\/(21\/9). Put z, -3, m in increasing order.\nAnswer: -3, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*p - 89*p + 3600 = 66*p. What is the highest common factor of 1730 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u - 5*u + 4*u)*(-u - 3 + 3).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 30*a + 789. Let s be f(-27). What is the fifth smallest value in 0, 2\/5, 3, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1321612000 divided by 9508000.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 13)\/(48\/36*(351\/(-45))\/13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -15. Suppose 0 = -3*r + 5*m - 2, 2*r + 22 = -u*r - 3*m. What is the remainder when 17 is divided by 8 - r*(-9)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 + -422\/5. Suppose 7*z + 15*z = 3*z + 2*z. Let s = 1\/132 - 101\/264. Put s, o, z in descending order.\nAnswer: z, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 113*o**2 - 3*o + 6. Let p(w) = 340*w**2 - 9*w + 18. Let j(v) = -17*f(v) + 6*p(v). Does 17 divide j(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -21*n**3 + 15*n**2 + 474*n + 5. Let c(p) = 11*p**3 - 9*p**2 - 238*p - 3. What is -5*c(v) - 3*m(v)?\nAnswer: 8*v**3 - 232*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 - 14\/28*30. Let q(b) be the first derivative of b**3\/3 + b**2\/2 - 19*b - 12. What is q(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + 5*m**3 - 2*m**3)*(-3 + 15 + 240 + 548) - 6*m + m**3 + 6*m - 3.\nAnswer: 801*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*r - 183*r = -100*r - 8. Which is the second smallest value? (a) r (b) 0.3 (c) -1.3 (d) -17 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*u + 100, 4*i - 2*u - 170 = -0*u. Let w be 2\/18 - 23\/i. Which is the second biggest value? (a) -2 (b) -0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p - 45 = 0. Suppose 0 = -5*r - p, r = -3*y + 2*y. Suppose -6 + 39 = y*g. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1088)*-2 + -4)**2.\nAnswer: 128*sqrt(17) + 4368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-75)*-10 - (-22)\/2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 338 + -2 - 696\/58. What is the greatest common factor of l and 288?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 4*c - 5. Let z be 1*2 - (9 + -9). Let h be (-6)\/(-9)*(-72)\/(-2). Suppose -6*q + z*q = -3*o + h, -4*o - q + 13 = 0. Determine v(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 1, u: 1, e: 2}. What is prob of picking 1 i and 1 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-1)*3\/(-6). Let n = 304\/9 - 34. Which is the third smallest value? (a) 0.2 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 3:52 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5\/11))**(16\/3)*(i\/(i\/((i**(-5\/4)*i)\/i))*i)**(-22) assuming i is positive.\nAnswer: i**(203\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.056 + 0.244. Which is the closest to 1\/3? (a) o (b) 5 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -14*k - 331. Suppose 0*n = 4*p + 3*n - 53, n = -4*p + 63. What is the remainder when p is divided by d(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1349, 5 in increasing order.\nAnswer: 3, 5, 1349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**4 - 12*z**3 - 6*z**2 - 23*z + 104. Let o(r) = 2*r**3 + r**2 - r - 1. Let n(l) = -b(l) - 6*o(l). What is the derivative of n(d) wrt d?\nAnswer: -12*d**3 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-68)\/(-2))\/(42\/861)?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20066*d*t**3 - d*t**2 + d*t + 341977*t**3 wrt d.\nAnswer: -20066*t**3 - t**2 + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 120*t**2 + 2*t - 8. Let f(w) = 240*w**2 + 3*w - 16. Let m(h) = 4*f(h) - 7*g(h). What is the hundreds digit of m(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 1e0?\nAnswer: 1db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268028272.\nAnswer: 2, 16751767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 + 96. Suppose -w*q = -2*j + 6, 4*q - j + 1 + 2 = 0. Is -1 - -918 - (4 - q\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 + 0*i**3 - 3*i - i - 2*i**2 + i**3 + 6*i to y*i**4 + q*i**3 + c*i**2 + o + g*i and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -6, 3\/2, 7.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 480 + -475. Put -1, -3, 18, p in increasing order.\nAnswer: -3, -1, p, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.8969051 microseconds in weeks?\nAnswer: 0.00000000011722371875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -5\/6*i**4 + 0 + 0*i**3 - 28*i + 0*i**2. Let y(a) = -a**2 + 4*a - 4*a. What is w(y(s))?\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-6 + -18 + (14 - 10))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2 - -8 - 10) + (3 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k + 13. Let z(o) = -65*o + 105. Let p(h) = 25*y(h) - 3*z(h). Let r(j) = -14*j + 28. Let b(x) = 11*p(x) - 4*r(x). Calculate b(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4352634 and 38.\nAnswer: -165400092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -1\/2 (c) -5 (d) -199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1848)\/(-7623)*77\/7.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*(j\/(j\/(j**1*j)))\/j*j*j))**(5\/8)*(j*j**(-4))\/((j\/(j**(-3\/14)*j))\/j*j*j))**(2\/81) assuming j is positive.\nAnswer: j**(-341\/2268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.21 + -5.41. What is the nearest to 1\/2 in 0, x, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*(-42)\/35 + 13.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 3. Let i(w) = 3*w - 5. What is -4*i(v) + 7*o(v)?\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2)\/k)**(-9)\/(k**(-2\/3)\/k**6))\/(((k**(-2)*k*k)\/k)\/k**6)**35 assuming k is positive.\nAnswer: k**(1537\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*l + 1 = 0, r - l = 4*r - 13. Solve 4 + 19 = -r*u - 4*s, -2 = -2*u + 4*s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o**3 - 28*o - 24*o**2 + 7*o**3 - 11*o**3 - 13. Let x(n) = -3*n**3 - 8*n**2 - 9*n - 4. Let q(c) = -7*x(c) + 2*z(c). Is q(-5) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528*a = 531*a - 21, -3*h - 2*a = -2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/8)*k*k*(k\/((k\/(k*k**(-22)*k))\/k*k)*k)\/k)\/(k**(-13)\/k**(-26)) assuming k is positive.\nAnswer: k**(-253\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 514 or 513?\nAnswer: 513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + q - 1. Let c(d) = -5*d**3 - 25*d**2 - 19*d + 20. Let s(y) = y**3 + 5*y**2 + 4*y - 4. Let t(o) = 2*c(o) + 11*s(o). What is -5*r(l) + t(l)?\nAnswer: l**3 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9580 and 6.\nAnswer: 28740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004727054796 to 7 decimal places.\nAnswer: -0.0047271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -113c1c71?\nAnswer: 113c1c72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(2\/(-6)) + -30. Let o = a - -33. Let i be (1 - 2 - -21) + o. Solve t + i = 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164674111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + -371. Let y = c + -174. Let o = y + 599.97. Round o to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -3*s**2 + 2*s - 79. Let n(f) = -78*f + 27. What is 2*n(h) - 27*u(h)?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.224 - 0.224. Which is the closest to 0.1? (a) 3 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a7 (base 12) to base 10.\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 6\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -74972306 - 0.2\nAnswer: -74972306.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*o**2 + 4*o**3 - 265*o**2.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22667921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2 + 68*x - 240. Calculate the remainder when 2135 is divided by t(18).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(704) + -1)**2 - (sqrt(99) + 0 - -1*sqrt(11)*-1)**2) + -1.\nAnswer: -96*sqrt(11) + 4185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 165, 0, 3, -58.\nAnswer: -58, -6, 0, 3, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.4 rounded to 0 dps?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 - 149. Let x = 476 + k. Suppose -3*w = -2*z - x, 4*w - 304 = -0*w - 2*z. List the prime factors of w.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -1. Let s = 24 - l. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-150)*18\/20*(-15)\/(-3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 12:16 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from didirddi.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*w + 6*w. Let z(u) = u - 1. Let r be z(w). Suppose 0 = -q - r*q + 3. Solve 5*f + q + 12 = 0, 2*f + 21 = -5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 690?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 46*w**2. Let c(o) = 17470*o + 8. What is c(m(j))?\nAnswer: 803620*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adfadadavvafa. Give prob of picking 1 a and 1 f.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8117*x**3 - 34*x**2 + 59*x + 19. Is v(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 2:35 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -22*a**3 - 3*a**2 + 2. Let m be j(-1). Solve m = 8*t - 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 2 - 1 - 2. Let a(q) be the first derivative of -q**2\/2 - q + 3141. Let c(j) = -a(j) + b(j). Let n(z) = 47*z**2. What is c(n(s))?\nAnswer: 94*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10808.7 + -10809. Is 15.72 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3141824 divided by 2.\nAnswer: 1570912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j + 4*j + j + (3 - 8 + 3)*(-j + 17*j + 8*j) + 4*j - 2*j + 0*j in the form y + i*j and give i.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1660*q - 561*q - 203*q = -4480 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dff when three letters picked without replacement from fdftf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1139.8 and 542?\nAnswer: 1681.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -9*v**4 - 7*v**3 - 6*v. Let r(c) = 5*c**3 + 7*c**4 - c**4 - 2*c + 4*c + 2*c. Let h(t) = -5*l(t) - 7*r(t). Find the second derivative of h(g) wrt g.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -170.1 - -170.3. Let s = 140 - 234. Sort -1\/7, s, b in descending order.\nAnswer: b, -1\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1887.5 + -1888. Suppose 4*d = -12, 2*d - 7 = -5*i + 17. Let g be ((-3)\/i - 0) + 5. Which is the closest to g? (a) -4 (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1201 + -3?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 18*c - 2 + 34*c - 18*c.\nAnswer: -2*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7, 19, 39, 67, 103?\n\"Answer: 4*i**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 1. Let c(y) = -5*y + 4. Let q(l) = -18*b(l) + 4*c(l). Let r be q(-2). Let o = r + 1. What is the least common multiple of o and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3034 and 83558?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-15 + -6) - 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22563)\/73899 + (164\/861)\/(4\/6)?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2461, -1750, -1039?\n\"Answer: 711*h - 3172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/(-360)*(-5)\/(-3). Sort 3, 26, l in increasing order.\nAnswer: l, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625 is divided by ((-1245)\/(-270) - 3)*18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 153*o**2. Let r(g) = -9*g**2. Determine b(r(l)).\nAnswer: 12393*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -2. Let u(i) = -3*i**2 - 3*i**2 + i**3 + 6*i - 261 + 266. Calculate the least common multiple of u(r) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -111*((-7)\/3 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 13, q: 3}.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3444 divided by -6.\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yllvy. Give prob of sequence ylv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzrrrzazzzazzzrr. What is prob of sequence zara?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1734579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1863926045 to the nearest integer?\nAnswer: 43173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 divided by 58?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/1)\/(-13*246\/34112)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/9)*c*c*c\/(((c\/(c\/c**(-4)))\/c)\/c))**(2\/17) assuming c is positive.\nAnswer: c**(176\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 6*z + 13. Let i be s(-2). Let q(x) = x**2 + 18*x - 110. What is the smallest common multiple of 4 and q(i)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101431*t + 100733*t - 202166*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58320, 58323, 58328, 58335?\nAnswer: 58344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 14. Let o = i - 6. Determine a so that 1\/5*a**4 + 4\/5*a**o - 4\/5*a**3 + 0 - 1\/5*a**2 + 0*a = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -17*x**2. Let y(t) = t. Give a(y(h)).\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 13*h**2 - 47*h + 22. Let o be r(-16). Suppose 2*i + 36 = b, 4*b - 5*i + o*i - 108 = 0. Is 28 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/4 - 6339975*x\/4 = 0. What is x?\nAnswer: 0, 6339975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 113?\nAnswer: 113.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550*t = 560 + 1640 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1334450 divided by -650\nAnswer: -2053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*g + 86*g - 8 = 0. Let v(r) be the first derivative of 0*r**3 + 3*r**2 - 5\/4*r**g + 0*r - 7. What is the second derivative of v(h) wrt h?\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -571, -561, -549, -535?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -118 + 125. Suppose 2*g - 15 = -5*c + h*g, 4*g = -5*c - 3. What is the second smallest value in 0.4, c, 23?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-21)*v*v**(1\/46)\/v*(v**29\/v*v)\/v*v*v\/(v\/v**(1\/7)) assuming v is positive.\nAnswer: v**(2951\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.06 and -0.39 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**3\/3 + 7*r**2\/2 + 14*r - 12. Let v be 74\/(-12) - (-7)\/42. Calculate the smallest common multiple of i(v) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 5. Suppose -5*v - 19 = -y, 5*v - y = -o*y + 1. Let d(i) = -2*i**2 + 4*i - 2. Let x be d(2). Is v greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d**(-3)*d)\/d)**(1\/15)*d*d*d\/(d**6*d*d)*d*d*(d*d**(1\/2))\/d)**3 assuming d is positive.\nAnswer: d**(-79\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1285 and 60.\nAnswer: 15420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 9:04 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1579*k**2 - 44234*k + 610. Give d(28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*a**2 - 3*a + 3*a**2 - 22*a**2)*(0*a**2 + 0*a**2 + 4*a**2).\nAnswer: -32*a**4 - 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/4)\/(-27)*1\/(-1).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 4. Let n(s) = -s**2 - s - 5. Let i(z) = z**2 - 10*z + 3. Let o be i(10). Let q = 7 + -5. Calculate o*t(b) + q*n(b).\nAnswer: b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1092\/(-210))\/((-8)\/20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5278*w + 119241 + 28259*w - 59622 - 59619 as o*w + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*c + 15*c = -528 - 174 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 25*h**2 + 233*h - 4684. Determine v(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342903?\nAnswer: 3, 11, 10391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 426204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -66, -187, -544, -1263, -2470, -4291, -6852, -10279?\n\"Answer: -21*b**3 + 8*b**2 + 2*b - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38.23 + 0.23. Let s = u - -43. Which is the third biggest value? (a) -2\/5 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9619817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23008395330 + -130?\nAnswer: -23008395460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, r: 4, d: 3, l: 1, z: 2, j: 1}. Give prob of sequence dlz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -2 (b) 0.42 (c) 0.2 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7*h**2 - 3. Let a(c) = -c**2. Let t(s) = -2*a(s) - k(s). What is the derivative of t(z) wrt z?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67400*l - 67434*l - 646 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(18) - (sqrt(18)*-2 + -2))*-4)**2.\nAnswer: -2656 - 576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/439663 and -91\/1284?\nAnswer: 5275956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -201*o**2 - 30751*o + 303. Determine f(-153).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 - (0 - 1). Let w(c) = -300*c - 1201. Let y be w(-4). What is the nearest to y in h, 45\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478135379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 l, and 1 t when three letters picked without replacement from gplgtt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6179565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3709 + (-30)\/(-6 + 1) + 6.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**2 + 71*d - 1503. What is the hundreds digit of o(-52)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s. Let w(x) = 2. Let g(l) = 2*l**2 - 80*l + 153. Let d be g(38). Determine d*w(v) + 3*z(v).\nAnswer: -3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*t - 2945 + 741 = 52*t + 832 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26649 is divided by 205.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -o + 4*m, 2*o - 5*o + m = 63. Let d = -17 - o. Solve 0 + 5 = -5*j + 3*l, 4*j = d*l - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 - 156\/(-9). Let u = 8 + x. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/64 and -23\/18?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -3*q**2\/2 - 133. Let z(r) = -54*r. What is j(z(x))?\nAnswer: 162*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6177, 10979, 15781?\nAnswer: 20583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 204971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214 - 196*s + 426 - 211.\nAnswer: -196*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5124708751.\nAnswer: 5124708751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 66. Let z(i) = -i - 44. Determine 5*g(k) + 8*z(k).\nAnswer: -8*k - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*l*w**4 - 2165*l*w**3 - 51*l*w**2 - 5*l*w + 5*l - 5*w**4 - 5*w**2 - 3 wrt w.\nAnswer: -504*l*w - 12990*l - 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4165, -8327, -12489?\nAnswer: -16651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 4*r - 37. Let i be w(5). Suppose -5*p = -4*q - 29 - 30, -3*q = p - i. Solve 10 = 5*b - b + 2*d, -3*b + p = 5*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*y**3 - 355 + 67*y**4 - 4*y - 77*y**4 - 2*y**2 + 354 as q*y**4 + w*y**3 + k*y + n + u*y**2 and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2. Let d(i) = -563122585*i**2. Calculate d(p(z)).\nAnswer: -563122585*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -5151 > -5149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -479\/5 at least as big as -97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgqgtcqggctcwcqcac. Give prob of picking 1 w and 1 a.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 4, -0.31?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59932013 to the nearest integer?\nAnswer: 7742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12760679?\nAnswer: 12760679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3))**(-3\/22))**(-21) assuming h is positive.\nAnswer: h**(21\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 8*g**3 + 3*g)*(-2*g + 2 - 2).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15331956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 10 = -3*m - 14, -c - 22 = 5*m. What are the prime factors of 218\/10 + c\/15?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 3. Calculate the least common multiple of 14 and i.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67\/(10050\/1485)*4\/((-96)\/(-20)).\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 3*a - 10, 3*p - 2*a - 3635 = 3629 - 7258 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 24. Let m be q(0). Let s(z) = 2*z**3 - 47*z**2 - 24*z + 33. What is the lowest common multiple of s(m) and 156?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2308067?\nAnswer: 971, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 180*w - 6 = 178*w, -o - 5*w = -21 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7424 and 319?\nAnswer: 81664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3264616 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1 + 2*a + 4435*a**2 - 5*a - 4421*a**2. Let p(l) = -l**2 + l - 1. Let c(n) = 4*b(n) + 4*p(n). What is the second derivative of c(o) wrt o?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooodddkcooookpodok. Give prob of sequence okck.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w**3 - 15*w**2 + 13*w + 9. Let s(z) = z**3 - 3*z - 7*z**2 - 5*z**3 + 9*z + 4. Let d = -10 - -16. What is d*q(x) - 13*s(x)?\nAnswer: -2*x**3 + x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2102201342 (base 5) to base 9.\nAnswer: -8135848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 1 - 3) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22373130 - -22373330.99831. Let b = -200.9661 + -0.0339. Let q = b + v. Round q to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -567\/1223 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3+11087\nAnswer: 11090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 159*v**2 + 226*v**2 + 65*v**2 + 118*v**2. Let u(m) = 4*m**2. Determine u(d(i)).\nAnswer: 1290496*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.4, 0.458, 33, 5\/2 in descending order.\nAnswer: 33, 5\/2, 0.458, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1337022960 - -1337023481.9999681. Let m = w - 522. What is m rounded to six dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-3\/5)*u**3*u)**30*(u**(-5)\/(u\/(u*u**(-2\/7))))\/(u*(u*u\/(u\/(u*u*u*u**(-3))))\/u*u\/(u\/u**5)) assuming u is positive.\nAnswer: u**(1055\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0. Suppose 3*b + 3*h = 15, -3*b - 5 = 4*h - 23. Let l = 0 - 1. Put b, l, k in decreasing order.\nAnswer: b, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 + (0 - (-1 + 2)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 72 = 4*b. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvwxdkk. What is prob of sequence vkb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(2*w + 2*w - 6*w) - 5*w + w + w + (-153 + 35 - 56)*(2*w - 3*w - w).\nAnswer: 343*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*q - 31, 2*f + 0*q - 1 = -3*q. Let p(z) = 3*z - 13. Calculate the lowest common multiple of p(5) and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0675092 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Suppose 9*v - 34 = -16. Calculate the remainder when v is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(250)*2).\nAnswer: sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57545, 114834, 172123, 229412?\nAnswer: 286701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**4\/2 - a**2 - a - 27. Calculate o(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 - 70*j - 38. What is x(-23)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -311048909\/6005382 - -161802\/2573. Let f be (8\/3890)\/((-202)\/7575). Let q = f - v. Find the common denominator of q and -32\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1539*m + 25810 = 75058 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3559, 3, 13 in descending order.\nAnswer: 13, 3, -2, -3559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -4393895?\nAnswer: -4393895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v + 27*v = 4*p - 82, 0 = -5*p - 10. Calculate the greatest common divisor of 144 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**5\/8 - 34*j**4 + 441*j**3\/8 + 45*j**2 - 89*j\/2 = 0.\nAnswer: -1, 0, 2\/3, 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 4*k**2 + 6*k - 1. Let w be q(4). Suppose 69 - w = s. Let o = -44 + s. Solve -4*v - g - 2*g = 16, o*g + 20 = -5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 217.9816 days?\nAnswer: 18833610240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66852 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/24)*u\/((u*u**(-28))\/u)*u*u**40*u**(-37) assuming u is positive.\nAnswer: u**(791\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14444*f + 32004?\nAnswer: 14444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l. Suppose -r - 148 = -5*g + r, 0 = 3*g + 2*r - 76. Let i(u) = g*u**2 - 56*u**2 + 0 + 0. Calculate m(i(a)).\nAnswer: -56*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2212288 and 832.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, -11, -54, -97?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 53793 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 l when three letters picked without replacement from jcqccqlqjqlrcclqqcq?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 l when three letters picked without replacement from mlmllll.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13129973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(756) + sqrt(756)*-3 + sqrt(756))*5 + sqrt(756))\/sqrt(12))**2 - ((sqrt(7) - (sqrt(21)*-2)\/sqrt(3)) + 3 + sqrt(49)\/sqrt(7)).\nAnswer: -4*sqrt(7) + 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4678809 >= -4678815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 + 2*f**2 - 2*f**2 - 14*f + 0*f**3.\nAnswer: -2*f**3 - 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000275942 rounded to 7 dps?\nAnswer: -0.0000276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 312 = -348 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85463?\nAnswer: 7, 29, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 196579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 665 - 667 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 12*d + 4*d + 2 - 12*d - 4. Suppose 0*g = -g - 26. Let h = g - -28. Determine w(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z = 3*m - 100, m - 20 = -z. What is the remainder when m is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 891849131 to the power of 1\/2, to the nearest integer?\nAnswer: 29864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 1606308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.455 - 0.055. Let y = -23.96 - -18.61. Let r = n + y. What is r rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/30*2*-4\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.59633 + 69.40467. Let u = w - 70. Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 43. What is the remainder when ((-16)\/(-6))\/((-328)\/(-10947)) is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 2)*(-2*m + 0 + 0) + (-2 - 2 + 3)*(m - 3 + 3))*(-12 - 4 - 13)*(3*m + 0*m - 16*m).\nAnswer: -1131*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*n + 9 = 0, 21 = -3*r + n + 3. Let f(c) = -2*c - 4. Let g(z) = 2*z + 3. Determine r*f(a) - 6*g(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -77*r + 150 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(3 + 14\/(-4)) - -1. Suppose -4*b + 40 = 40*u - 37*u, v = 4*b - u - 40. What is the greatest common factor of 38 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2357 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -988000542116.5 plus -0.3?\nAnswer: -988000542116.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 3042?\nAnswer: 30420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t - 3. Let r be h(-2). Suppose r*o - 9 = 1. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 7362*o**3 + 4 - 2.\nAnswer: -7362*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*p = -1725 + 4 + 5869 + 3601 for p.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 503039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174260 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p*(p**8\/p)\/p)\/p)\/((p*p**(-6))\/p))**30)**10)**(-4\/13) assuming p is positive.\nAnswer: p**(-14400\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -427, -1728, -3959, -7174, -11427, -16772?\n\"Answer: -9*a**3 - 411*a**2 - 5*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/90)\/(1\/(-129) - 0). Let y = l - -47. What is the tens digit of (60\/18)\/(y\/54)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 35 - 47*u - 35.\nAnswer: -50*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1446, -2903, -4356, -5805?\nAnswer: -7250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 0*u**2 - 1\/60*u**5 + 5\/9*u**3 - 2*u + 1\/12*u**4 + 43. Let v(l) = 0. Calculate l.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 663 + -356. Suppose k*w - 301*w - 126 = 0. Solve 24*q = w*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-9) - ((-29)\/2)\/((-621)\/(-1428438))?\nAnswer: 33353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**4 - 14*s**3 - 17*s**2 - 12*s + 8. Let b(y) = -y**3 - y**2 - y + 1. Let n(i) = -24*b(i) + 3*l(i). Determine d so that n(d) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53\/5? (a) -5 (b) -1\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 1:58 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1053?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -2, -0.2, -1\/2 in increasing order.\nAnswer: -2, -1\/2, -0.2, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h + 7. Let a(j) = j**3 - 11*j**2 + 6*j - 11. Let k be a(10). Let o = 37 + k. Let d(f) = -10*f + 34. Determine o*g(t) + 3*d(t).\nAnswer: -2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 24267.21 years?\nAnswer: 2426.721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3 = -15. Let p = 3 - 18. Let a be ((-5)\/p + 0)*-9. Is m less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) 3 (c) -17088\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20274027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-123)\/330296*38)\/(2*(-6)\/(-32)).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92 + 20. Find the common denominator of -13\/8 and 16\/m - 149\/(-18).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1151*k - 1067. Give q(1).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from wweewex?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2180588673 rounded to the nearest 1000000?\nAnswer: 2181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1507 - 1508. Is 138 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 446 divide 15584578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233621313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -0*n + 3*n. Let g = -10 + n. Which is the closest to 0.2? (a) -0.5 (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2817708885?\nAnswer: 3, 5, 31, 1289, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -128 + 129. Solve 4*u + 5*v + s = 0, -u - 3 = -0*u + 4*v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2337618989?\nAnswer: 2337618989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcrtrrtcr. What is prob of sequence tr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 0.1 (b) 1 (c) -3 (d) -1\/11 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -2e72c?\nAnswer: 2e72c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -873*s**2 - 9*s - 5. Let d(l) = 1747*l**2 + 19*l + 11. Let m(i) = -6*d(i) - 13*o(i). Let p be (-2)\/((-4)\/1)*2. Is m(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4708, -2, 5, 163\/18 in decreasing order.\nAnswer: 163\/18, 5, -0.4708, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/21 + 3865080*j\/7 + 11595246\/7.\nAnswer: -2*(j - 5797623)*(j + 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 123?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 81 - 138 + 69. Let x be 2\/(-9) - (-2)\/9. Let a be j(x). Solve 2*w + 4 - a = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (156\/(-28))\/(-3)*-7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2017291*a - 237789 wrt a?\nAnswer: 2017291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -1 + 2\/6. Let w = 3.01 + -3.09. Put w, r, -1\/7 in decreasing order.\nAnswer: w, -1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2559\/76 - 198\/19. Calculate the common denominator of a and (-231)\/(-24) + (0 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 2*g + 4*g)*(-1 + 1 - 3)*(0 + 3 - 2) to the form f*g + b and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -6. Let k = -252378 - -252377. Let r = -4 - -7. Put r, k, x in decreasing order.\nAnswer: x, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5 = 2*t + 3*t, -t - 5*y - 5 = 0. Which is the second biggest value? (a) 0.2 (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 20 + 5 - 15*z**2 + 454*z + 163 - 7*z**2. Let o(j) = -7*j**2 + 152*j + 63. Let g(c) = -8*o(c) + 3*v(c). Factor g(y).\nAnswer: -2*(y - 15)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -143 (b) -2 (c) -4 (d) 0.3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 8 (b) 171 (c) -1 (d) -10 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7 = -n, h = -n + 3*n - 4. What is the remainder when 11 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12, -41, -156, -333, -572, -873?\n\"Answer: -31*x**2 + 40*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -4. Suppose 1 = 5*o + 2*s, 4*o - 1 = -2*s + j. Is 10 a factor of o + (69*1)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5*i**3 - 2040*i**2 - 4065*i - 2030 = 0.\nAnswer: -406, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1. Let m = l + 1. What is the derivative of -7*h**2 - 3 + 10*h**2 + m wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5.458811 nanograms?\nAnswer: 0.005458811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 10. What is the common denominator of c\/9 + (-514)\/(-12) and 2 + (1250\/12000)\/(2\/6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14, 1, 11, -102.\nAnswer: -102, -14, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4931 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -261 - -1571\/6. Which is the biggest value? (a) o (b) -21 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of ((-54)\/(-4))\/(18\/96)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31574, -31576, -31580, -31586, -31594, -31604, -31616?\n\"Answer: -c**2 + c - 31574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*t - 10239410 = -448*t + 7649840. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*1*(-32)\/48. Let f(z) be the third derivative of 1\/3*z**3 + 0 + t*z**2 + 0*z + 1\/12*z**4. What is the first derivative of f(x) wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-1))\/((27\/927)\/3). Let r = -33 - i. Suppose 0 = -0*h + 5*h - 95. What is the remainder when r is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.48729 millimeters in kilometers?\nAnswer: 0.00009548729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/8 - 21\/(-56). Suppose i + 5*n = -1 + 2, -5*i + q*n - 76 = 0. Let g be -1 + 332\/14 + (-4)\/i. What is the greatest common divisor of 23 and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4348443271.\nAnswer: 4348443271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.8 + -4.09. Let c = -14.71 + m. Let h = 15.00024 + c. What is h rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d - 6. Let p(y) be the first derivative of -y**3\/3 + y**2\/2 + 5*y + 11. Let v be p(0). What is o(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-4)\/(-18)*(-120)\/520.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 88323, 88272, 88221, 88170?\n\"Answer: -51*w + 88374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 2*x - 29 = x, -35 = -4*f - f - 5*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 60.2. Let o = -6 + s. Let u = -0.5 - o. Which is the nearest to 0? (a) u (b) 2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*f*n - 33215*f - 318*n**4 - n wrt n?\nAnswer: -6*f - 1272*n**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -20*m**3 + 27*m**2 - 22*m - 17. Let v(d) = -13*d**2 + 3 + 11*d + 2 + 3 - 17*d**3 + 26*d**3. Let o(c) = -9*v(c) - 4*z(c). What is o(8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367424345 to the power of 1\/2, to the nearest integer?\nAnswer: 19168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 332\/(-5312) + 187\/(-80)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, -0.4, 2\/33, 55\/12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 150948827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2611 times 221?\nAnswer: 577031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 143771 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbobvvgzozbqbb. Give prob of picking 1 v and 2 z.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001133341496 rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 145102*y**6 + 17*y**4 - 189*y**2 + 2656?\nAnswer: 17412240*y**3 + 408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dae. Give prob of sequence aed.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4523244 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(168)\/sqrt(3)*2)\/(-5*sqrt(32)\/sqrt(4)))**2.\nAnswer: -168\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, -4\/3, 1.1, 0.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-44)\/(-27) - (5 - 1 - 2). Is -1 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 119? (a) 4 (b) -5 (c) 5 (d) 0.5 (e) 26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-26) + 1168\/13. Let v be (54\/c)\/(2\/10). Let y(n) = -v*n - 2*n + 4*n. Let k(t) = -2*t. Give y(k(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 155418431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23868 by -12.\nAnswer: 1989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**5\/7 - 8*d**4\/7 + 6*d**3\/7 + 8*d**2\/7 - 8*d\/7 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21480.2256 rounded to the nearest 100?\nAnswer: 21500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -35*z**2 + 3480915*z + 994550 = 0.\nAnswer: -2\/7, 99455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/917 or 1?\nAnswer: 2\/917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.153\nAnswer: 0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/3 and 2204\/(-14288) - 2\/(-6)?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(19) - sqrt(171)) + 5 + 5 + sqrt(114)\/sqrt(6) - (-2 + -2*sqrt(19)*3 + 4)))**2.\nAnswer: 720*sqrt(19) + 4851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 430 + 430. Let u(b) = b + 1. Let k be u(-2). Let s(l) = -3*l + 1 - 2*l + l**2 - 3*l**2. Calculate k*s(z) - 5*c(z).\nAnswer: 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n + 51. Let g be w(6). Suppose 21*y - g = -2*y. Solve i - y*i = 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {g: 3, l: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*b + 986, -12*b + 16*b = 5*f - 1626. What is the highest common factor of f and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*c**2 + 54 - 32*c**2 - 51 - 230*c**3 to the form z + l*c**3 + b*c**2 + f*c and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 34*a + 11. Let t(z) = 7*z + 2. Suppose -35*m - 20*m + 605 = 0. Determine m*t(v) - 2*q(v).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)*2*-2 + (sqrt(270) - sqrt(270)*-1*-6))\/((4*-2*sqrt(50) + sqrt(50))\/(sqrt(45)*3)) + -4.\nAnswer: -4 + 243*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62041621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(2\/29))*(j**(-15)*j)\/j)\/((j**5\/j)\/(j**(1\/11)\/j)))**(-32\/3) assuming j is positive.\nAnswer: j**(203936\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + 31 + -21 + (11 - 5) + -13.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 + 17590*i\/9 + 137900.\nAnswer: -2*(i - 8865)*(i + 70)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9, -22, -41, -66, -97, -134?\n\"Answer: -3*u**2 - 4*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/3)\/w**(-7))\/(w**(1\/4))**(-1\/30))\/((w\/(w\/(w\/(w*w\/w**(-14)))))\/((w**(-8)*w)\/w))**(-27) assuming w is positive.\nAnswer: w**(-21799\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 5, -5\/84, 2\/15?\nAnswer: -5\/84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 111*r**2 - 158*r + 1343. What is the units digit of n(-111)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**3 + 53298680*r**2 - 142037357889700*r - 568150284338000 = 0?\nAnswer: -4, 5329870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-171)\/(-76)*4\/(-3). Let v(f) = f**3 + 6*f**2 + 8*f - 2. Let p be v(c). Let m(d) = 12*d**2 - d + 1. What is m(p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25654000 rounded to the nearest 100000?\nAnswer: -25700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006112095 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/4 - 14623*a**3\/4 + 73089*a**2\/4 + 14623*a\/4 - 36545\/2 = 0. What is a?\nAnswer: -1, 1, 5, 14618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29691 and 26721.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 minus -5673171?\nAnswer: 5673171.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 - -152. Suppose -j = -w + 9. What is the remainder when w is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*t - 1. Let s(y) = -59*y + 1. List the prime factors of s(t).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -187781.1 to the nearest 1000.\nAnswer: -188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8208 + -4999. Let c = -1236 + v. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + z + 8, 26 = 5*i - 6*i - 5*z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298231 is divided by 73438.\nAnswer: 4479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -379724, -759453, -1139184, -1518917, -1898652, -2278389, -2658128?\nAnswer: -3037869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 15. What is o(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -34. Let p be 81\/l + 5 - (-204)\/10. List the prime factors of 1376\/14 - 1 - p\/70.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17723, -35273, -52821, -70367, -87911?\n\"Answer: s**2 - 17553*s - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**3 - 18*j**2 - 37*j + 21. List the prime factors of b(9).\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*-1*-5)\/((sqrt(810) - (sqrt(810) + -1*sqrt(810))) + sqrt(10)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17741 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - (10 - 28))*18\/(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6110 divided by -5?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6010 or 6012?\nAnswer: 6012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, -9, -5 in ascending order.\nAnswer: -9, -5, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7148, 14224, 21294, 28358?\nAnswer: 35416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 986.776 years?\nAnswer: 9.86776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 61?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.323 in 0.28, 0.1, 0.0175?\nAnswer: 0.0175","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 9*j = -4*z + 4, 12 = -5*z + 3*j. Suppose 4*g + 0*g - 332 = z. Let q = 138 - g. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 21 + (-5 - (3 - 1)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -365 + 368. Solve y = 6*s - 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 22 + 12 = 0, 3*m + 11 = y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12122522 + 4?\nAnswer: 12122530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 17. Let q(y) be the third derivative of -145000*y**4\/3 - y**2. Let j be q(r). Round j to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -58460\nAnswer: -3\/58460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6 + (-28)\/(-6). Sort -2, -3, -4, w.\nAnswer: -4, -3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/9 + 2*f\/3 - 16\/9.\nAnswer: (f - 2)*(f + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y - 4. Let b be x(-3). Find the third derivative of -i**2 + 2*i**2 + i**b + i**5 - 4*i**5 wrt i.\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57754 and 2546.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27e + 7ee?\nAnswer: a6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z + 7*z + 16*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -101*c. Let x(j) = -6426*j**2. Give x(t(b)).\nAnswer: -65551626*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 14.4, -0.07?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 2. Suppose 6 + 19 = 4*j + 5*x, -q*j + x - 5 = 0. Let n be j - (0 + (-2 - -7)). Is -4 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -21. Suppose -n + 6*n = i. What is the third derivative of 7*w**2 - w**2 - w**5 - 8*w**n wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -g + 20, g = t - 16. Let n be 3 - (-24 + 3 + -6). Calculate the greatest common factor of n and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (5 - (1 - (-1 + 4) - -14))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5182524 by 863754.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 107*z**3 + 3*z**2 - 5*z + 9. What is the remainder when d(2) is divided by 187?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.264*-1572018\nAnswer: 415012.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, p: 3, j: 2, k: 1, z: 2, u: 3}. What is prob of sequence unnn?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 65344.\nAnswer: 457408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 - 10*q - 8. Let k be f(-4). Calculate the greatest common factor of 40 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = y + 22. What is the units digit of 88 + 2 + -6 + y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404524 is divided by 217?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**2 + 16*v - 8. Let r be c(3). Suppose 4*w + r*t - 8 = 0, -5*w - 4*t + 25 = 20. Put 5, -2, w in descending order.\nAnswer: 5, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -29\/2*n**2 - 9 - 16*n. What is the first derivative of p(q) wrt q?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, x: 6, s: 2, e: 4}. Give prob of picking 2 s.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12130863 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144800 is divided by 12030.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*o = 189*o - 1320. What is the remainder when 114 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2124 + -0.130767\nAnswer: -2124.130767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3456)\/648)\/(13132\/147).\nAnswer: -4\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31742*q**4 - 31288*q wrt q.\nAnswer: 380904*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 92.3 + -97. Let q = n - -5. Let i = 5.8 + -6. Which is the nearest to -1? (a) 0.4 (b) q (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, c: 15}. What is prob of sequence rc?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20382c (base 14) to base 3.\nAnswer: -2001011000021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 69 (b) 16 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -16, 5*j + 9 + 51 = 2*q. Solve -9 = q*x + 51 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r + 2. Suppose 4*n - 7*n + 10 = v, v = 2*n - 5. Let o be w(v). Suppose 5*g = g - 3*x + 44, 0 = g - 3*x + o. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88118 (base 10) to base 15.\nAnswer: -1b198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260328 is divided by 95?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*l + 221*l - 4*y = 58, 3*l - 5*y = 62 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104026488 and 3336?\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l - l)*(-4 + 6 - 4) - 25175 - 25184 + 50359 + 43025*l.\nAnswer: 43023*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*w - 234*w = 237*w + 72912 for w.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6672.344 hours to milliseconds.\nAnswer: 24020438400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0296869 in -4, 6\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.5 (b) -3 (c) -278\/85 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - (1 + sqrt(1088))) + -3 + -5 + sqrt(1088) + sqrt(1088) + -1)**2 + (-3*(sqrt(1377) + 2) - (-2 + sqrt(1377) + 4)).\nAnswer: -356*sqrt(17) + 4444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 217159 to the power of 1\/2, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/7 - ((-25)\/7 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205822?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -623*w - 3837. Give y(-5).\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -58283, -116566, -174849, -233132?\n\"Answer: -58283*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -60*b - 703. Calculate the remainder when f(-35) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 2595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/235, 5, -2\/7, -1119, 2?\nAnswer: -3\/235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -1\/14, 2, -3\/5, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -3 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**5\/80 - 11*o**2. Factor p(w).\nAnswer: -3*w**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**5 + 4088*j**4 + 1391280*j**3 + 157211912*j**2 - 158607284*j = 0 for j.\nAnswer: -341, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**2*q**2 - 18*j**2*q + 4*j**2 + 18*j*q**3 wrt q.\nAnswer: -4*j**2 + 108*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, a: 3}. What is prob of picking 2 h and 2 a?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1*84407\nAnswer: -84407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -8. Suppose 0*w - 60 = -k*w. Solve w = 2*u + u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2052 by -513.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q*z**4 - 73*q*z**3 - 2*q*z**2 - 62*z**2 + 2 wrt z.\nAnswer: 48*q*z - 438*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -6 + 6 + 3 + -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 373 - 54. Suppose 60*a - 28*a = 29*a. Suppose 118*p - 119*p + x = a. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y = 4*v + 6*y - 10, 0 = -3*v - y + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3. Let z(x) = 1 + x**2 + 4 - 5 + 1. Let j(h) = y(h) - 3*z(h). Let b(c) = c. What is b(j(d))?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*m - 816 = 0, 4*w = -4*m + 1139 + 2125. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + -2 + 2 + -2. Let s be (5\/(-4))\/(2\/b). Suppose 2*j = -2 + 8. Solve 4*d + 2 = -j*c, -c - 14 = 3*d - s*c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-39)\/26)\/(12\/(-10)). Which is the third smallest value? (a) 2 (b) -2 (c) t (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 29 + 13 = 0. Calculate the highest common divisor of j and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 + 41. Suppose t*s + 29 = -2*p, -3*s + 1 + 0 = -p. Let c(l) = -l**2 - 7*l + 37. Calculate the smallest common multiple of c(p) and 17.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**4\/4 - 7633*u**3\/3 + 25*u**2\/2 - 40*u + 14793. What is the second derivative of l(j) wrt j?\nAnswer: 6*j - 15266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-250))\/((-10)\/(-600)*12)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -114 from 4747169.\nAnswer: 4747283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-14)*(h*h**16)\/h)\/(h\/(h*(h\/((h*h**(-1\/7))\/h))\/h))**(-16) assuming h is positive.\nAnswer: h**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692238921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -40*d**2 - 4*d. What is o(1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1773 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 601*o = 606*o + 40, 2*f = -5*o - 96. Let a be ((-2)\/(-6))\/(33\/(-900)). Which is greater: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 11:56 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5*i*i\/i**(-2\/9)*i)\/((i*i**(-3\/7))\/i**(-2\/9))*(i**(2\/5)*i**(-2\/3))\/((i*i*i*i**(4\/5)\/i*i*i)\/i**(-5)) assuming i is positive.\nAnswer: i**(-277\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + -20 + 2 - (14 - 23 - (9 - 2)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9522, 12829, 16126, 19407, 22666, 25897?\n\"Answer: -a**3 + a**2 + 3311*a + 6211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -26*z**3 + 2*z**2 - 8*z + 42. Let t be s(-5). Let u = 71107\/21 - t. Find the common denominator of -20\/21 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a. Let p(j) = -15*j + 7. Let l(b) = -6*b + 3. Let n(g) = -7*l(g) + 3*p(g). Give n(q(f)).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7957, 7956, 7955, 7954?\n\"Answer: -j + 7958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 0*k**4 + 0*k + 0*k**3 - 2 - 3\/2*k**2 - 1\/5*k**5. Find the second derivative of s(c) wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12181386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -2 + -1 + 47 + -43.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 439849942?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2927 + 5361*t**3 - t**4 - 5361*t**3 + (t - t + t**2)*(88*t - 6*t**2 - 88*t) - t**4 - t**4 + 0*t**4 as k*t**4 + l*t**2 + o*t**3 + h + v*t and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from {b: 3, a: 1, d: 3, s: 1, u: 2, v: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 0.3 (c) 2\/5 (d) -2 (e) -5.22 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, h: 1, p: 1, i: 5, f: 2}. Give prob of sequence iff.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1*155\/35)\/(((-106)\/(-3710))\/(1\/(-5)))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36627210 by 10.\nAnswer: -3662721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 34 - (7 + (-2 - -5 - 31))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -14.5, -2\/23, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -w + 17. Is w greater than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 50*h**2 + 1. What is the remainder when o(-1) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y = 0. Let t = 11 + -9. Suppose y = -t*d + d. Solve -5*j + 4*g + 2 = 0, d = 3*j - 4*j + g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2488, -2502, -2542, -2620, -2748, -2938, -3202?\n\"Answer: -2*g**3 - g**2 + 3*g - 2488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*o - 2*o. Let y = o + -2. Let d be (y - 21\/15)*-10. Calculate the greatest common factor of d and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b5c47 (base 16) to base 9.\nAnswer: 1354253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 - 47 - (24 - (9 - 7)) - 35?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000613074 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -7289.84 to the nearest 10.\nAnswer: -7290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4158946111*x - 11*x**2 + 4158946111*x.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549*l - 24894 + 86978 = 615*l + 247*l for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 25832 times -102\nAnswer: -2634864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -102, 4, 5, -5, 9808 in increasing order.\nAnswer: -102, -5, 0, 4, 5, 9808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*p + 8510, 2*p = 5*l - 10885 + 2375. Let s = -675 + l. What are the prime factors of s?\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(i**4*i))*i**(-9))**4 assuming i is positive.\nAnswer: i**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -467529.\nAnswer: 5\/467529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*w - 6. Suppose 14 = w*q - 5*k - 5, 2 = -q - k. Let j = 1 + q. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.55 * 1742616\nAnswer: -2701054.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1331)*-1 + sqrt(1331) + (sqrt(1331) + -1)*-4 - 1*(sqrt(1331) + sqrt(1331)*4 + -3))**2 + 1.\nAnswer: -1584*sqrt(11) + 107876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 651099101 to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 - 2 + 9*m - 22*m**2 + 9*m**2 + 13*m**2 as t*m + q*m**2 + u + x*m**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/7 - 284*o**3\/7 - 1752*o**2\/7 - 3536*o\/7 - 2368\/7.\nAnswer: 2*(o - 148)*(o + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 - 2*b - 2. Let t be s(-1). Suppose -6 = 2*h, -p + 0*p + t*h = -100. What is the remainder when p is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*k + 25, o + k + 347 - 339 = 0. Let r(t) = t**3 + 9*t**2 + 14*t - 3. Give r(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**5 - 48*c**4 + 196*c**3 - 360*c**2 + 304*c - 96 = 0. Calculate c.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 52*j**2 + 19162*j + 9560. Calculate l(-368).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 3) + (-38 + 16 - -20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 - -359625?\nAnswer: 359645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 = -0*n. Let h be 1 + 0\/n + -1. Let d be 1 + (-72)\/33 - -1. Do h and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133 + 111. Let k = 307 - p. Is 66 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*h**2 + 390*h**2 - 199*h**2.\nAnswer: 23*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**2 - z - 64. Let v(n) = -3*n - 2. What is 5*d(a) - 4*v(a)?\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -594.3 + -109.\nAnswer: -703.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**3 + 138888*q - 138888*q.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (148\/1443)\/(3\/78*12).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336*f - 1572 = -340*f. List the prime factors of f.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from nvqvlqg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/32*(-520)\/(-234). Let y(k) be the third derivative of 0 - 13\/120*k**6 + 0*k**4 + m*k**3 + 0*k**5 + 0*k - 9*k**2. Differentiate y(j) wrt j.\nAnswer: -39*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115 (base 7) to base 6\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 - (-13 - (0 - 3)) - 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*o - 61*o - 412 = -313*o + 52*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4\/11 - 6*h**3\/11 + 486*h**2\/11 + 4374*h\/11 + 8748\/11 = 0.\nAnswer: -9, -3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-185)\/(-135) + (30\/(-9) - -2). Which is greater: v or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h**2 - 4*h - 7. Let a(p) = 4*p**2 - 3*p + 3*p - 3 - 2*p - p**2. Determine -5*a(f) + 2*i(f).\nAnswer: -f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + s**2 + 3*s**2 + (-5*s - 2*s + 6*s)*(-s - s + 0*s) - 5*s**2 + 3*s**2 - 5*s + 7*s.\nAnswer: 3*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**4 - 10*z**4 - z**4 + (z**2 - 5*z**2 + z**2)*(3*z + 4*z - 4*z)*(-4 + z + 4) as u*z**2 + l + a*z**4 + c*z + g*z**3 and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27168099 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13203*t**2 - 39601*t**2 + 13199*t**2 + 479*t**3 + 13199*t**2.\nAnswer: 479*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 4b?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 3*v**2 + 6*v + 1. Give h(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 42270 to the nearest 1000.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 78930?\nAnswer: 157860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -17302*3510\/20 - -1. Round c to the nearest 100000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-970)\/(-24444))\/((-5)\/(-3)). Let x(c) be the third derivative of 0*c**3 - z*c**4 + 0*c + 1\/70*c**5 - 1\/420*c**6 + 0 - c**2. Factor x(y).\nAnswer: -2*y*(y - 2)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 416000.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22 - 22 - (-3 + 461*-3). What is the greatest common factor of k and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -39*q - 9. Let v be y(3). Let x = 308 + v. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 55 = 5*f, 0 = 2*f + f + m - 33. What is the remainder when 40 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147.262 + 0.262. Let c = 147.000174 + o. What is c rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 384\/13 and 31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 = -4*j + 2*f, -11*f - 382 = -0*j - 3*j + 213 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 31*h**4 - 2*h**3 - 2*h**2 - 178*h - 3. Let o(f) = -2*f**4 + f**3 - 2*f**2 - f - 2. Let w(c) = b(c) - o(c). Find the second derivative of w(z) wrt z.\nAnswer: 396*z**2 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205463266 to the power of 1\/3, to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 948471 and 7860.\nAnswer: 2484994020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1524*t**3 - t + 4 + 3*t**2 + 1527*t**3 + t. Let h be ((-3)\/(-2))\/(10\/20). Let p(f) = -2*f**3 - 2*f**2 - 3. Calculate h*a(r) + 4*p(r).\nAnswer: r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1417000 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 45.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 2 + (7 - 5) + -15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*g - 159 = 69, 2*a - 232 = -2*g. Calculate the smallest common multiple of 114 and a.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -1 + 21 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7207 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**3 + 20*w**2 - 241*w - 1004. Determine i(-4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 132*z - 2605. What is i(20)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 725158 to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - p + 3. Let i be b(0). Solve q = i, 5*q - 2*q - 8 = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u**5 - 185*u**4 + 225*u**3 + 125*u**2 - 260*u + 60 = 0. Calculate u.\nAnswer: -1, 2\/7, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -433 - -449. Solve t - 6 = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1357.631 - 1.369. Let o = 1338.89 + n. Let h = o - -20. Round h to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2894177899 to the nearest integer?\nAnswer: 53798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -49*w - 494. Determine z(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*c - 130, -4*c + 257 = -p - 2*p. Let q = c + -32. What is the lowest common multiple of q and (1*-4 - -2) + 20?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14623, -25353, -36081, -46807?\n\"Answer: n**2 - 10733*n - 3891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161974 + 59372 = 2207*p + 868*p + 5123*p for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*g + 22 - 4, -5*y = -4*g + 6. Solve 3*p - 4*z + 6 = -2*p, y*p - 4*z + 12 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + n**2 - 1. Let m(l) = 29*l**3 + 5*l**2 + 4. Let u(t) = 4*d(t) + m(t). Find the third derivative of u(q) wrt q.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 284*i**3 + i**2 + 4*i - 4. Let f be a(1). Differentiate f*k - 37 - 233*k - 1 with respect to k.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/1664147 and 65\/14977323.\nAnswer: 14977323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-36) - 140\/18. Let x be z\/20 - 12\/(-5). Suppose 4*w - 14 - x = 0. Solve 0 = -f - w*f - 4*u + 23, 5*f + u = 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -62 in 0, -0.07, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1375673*-6.\nAnswer: 8254038","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2. Let r(q) = 11*q**2. Suppose -146*m + 173*m = 189. Let a(s) = 22*s**2 - 14*s**2 + 25*s**2. Let g(o) = m*r(o) - 2*a(o). What is y(g(c))?\nAnswer: 242*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/42*((-6)\/(-8) - 1341\/596)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130308866 a multiple of 1701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.04705 rounded to 2 decimal places?\nAnswer: -34.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 156 = 3*f, -13277*f + 95 = -13282*f - 16*z - 187 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1584 and 539352?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -c12140 (base 16) in base 12?\nAnswer: -42a4768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1249673 rounded to two dps?\nAnswer: -3.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1, -2\/15, -84, -0.01, -0.054, -0.31?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - h = 2*k - 89, -4*h + 16 = 0. Let w = -12 - k. What is the remainder when w is divided by (-2 - -4)*(-1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86444960 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 491 = -471 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 4:34 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -23\/5, 25.777, -0.2 in descending order.\nAnswer: 25.777, -0.2, -23\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (35\/25 - (-6)\/(-15))*-55. Suppose -5*o + 36 = -o. Calculate the lowest common multiple of o and (-11)\/p - (-108)\/10.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 471*z**4 + z + 7*z**3 - 9 - 4*z**2 - 474*z**4 + 4*z**2 + 0*z**2 as g + a*z**2 + m*z**3 + t*z + r*z**4 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v - 5*f - 0, f = 0. Suppose -o + 2*k = v, -3*k = -0*o + 2*o - 8. Which is the second smallest value? (a) 0.3 (b) o (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 3 = 11*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*z = -246*z - 22 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i. Let b = 1134 + -1134. Let m(w) be the second derivative of b + 0*w**2 + 1\/12*w**4 + 0*w**3 - 4*w. Calculate m(a(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + 60. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.2 - -20. Let i = 0.8 - a. Let x = -3.1 + 3. Sort i, x, 0.2 in descending order.\nAnswer: 0.2, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62003.1 rounded to the nearest one thousand?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1400.4 - 1324. Are s and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-50)\/(-20))\/((-28)\/(-12) - (10 - 11)). Factor 15\/4*x + s*x**2 - 3\/4*x**3 + 9\/4.\nAnswer: -3*(x - 3)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, b: 6, w: 1}. Give prob of picking 2 b and 2 s.\nAnswer: 135\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59\/345 - 2\/69. What is the closest to 1\/7 in -3, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-7)\/(140\/(-8)). Let a(l) be the first derivative of 1\/6*l**6 + 1\/2*l**2 + 3\/2*l**4 - 4\/3*l**3 + 1 + 0*l - z*l**5. Let a(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 5*u**6\/2 - 43*u**2\/2 + u + 66. Find the second derivative of h(x) wrt x.\nAnswer: 300*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)*o*o**5*((o*o\/(o*o\/(o*o\/o**(2\/7))))\/o)**(5\/7))**50 assuming o is positive.\nAnswer: o**(6150\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/4)\/(663\/(-442)). Suppose 3*x - x = 24. Solve -x = -t*g - g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/15, -2879, -1, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211861037.\nAnswer: 29, 31, 235663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 214753229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f + 5f?\nAnswer: 7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/(-900))\/(((-320)\/350)\/16))\/((-2)\/8).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2303310 - 131301?\nAnswer: -3101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*k + 127 = 0, -s - 3*s = 2*k + 100. Let t = s + 31. Suppose t*o + 2*i = 26, 3*o + 2*o - 31 = -2*i. Solve 4 = q + o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 152. Let k(m) = -122*m**2. Give p(k(f)).\nAnswer: -122*f**2 - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeqiiqnxu. Give prob of sequence nu.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 24 + 6 = 0. Let c = a + 4. Let d be 0 + 2\/(-36) - (-6 - 3759\/(-378)). Which is smaller: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 711 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 17*n = -6*n + 39, -4*n - 16 + 4 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 129543827*x**2 + 1 - 129543839*x**2.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnrrnrnnn. What is prob of picking 1 r and 1 n?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*x + 20, -x - 56 = 4*u - 28. Solve 94*c - 90*c = x*s - 20, 5*s - 13 = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46316, -46318, -46320, -46322?\nAnswer: -46324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u + 0*u)*(-15251 + 425*u + 15251).\nAnswer: -1275*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 154.6239 years?\nAnswer: 1855.4868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 take away -303.00545?\nAnswer: 316.00545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2\/9 + 61316*h\/9 - 306680\/9 = 0. What is h?\nAnswer: -15334, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6957876047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1749.7289 * 1\nAnswer: 1749.7289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -11 (c) 110 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.998655kg?\nAnswer: 0.005998655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638731?\nAnswer: 37, 61, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 + u**2 - 2467*u - 2468. What is z(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 345?\nAnswer: 345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -14*g - 294. Suppose 5*b + 16 = -2*i - 1, 4*i = b - 89. Let r be t(i). Let s(m) = m**2 - m - 23. What is s(r)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -5*c - 174. Solve -8 = -d + 2*m, c*d + 0*d = -3*m - 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 b when three letters picked without replacement from bnbqqqnqb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11843556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51633.67l?\nAnswer: 51633670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*u**3 - 2*u*z**2 + 441*z**2 with respect to u.\nAnswer: -87*u**2 - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**2 + 24*j - 17. What are the prime factors of t(-27)?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 1:36 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 + 8 = 26*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**7\/42 - 5*b**3\/6 + 7*b. What is the second derivative of p(h) wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1004412 (base 5) to base 13.\nAnswer: -7508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q - 6*q + 2*q**2 + 2*q**2 + 4*q**2 - q**2 + 0*q**2 - 1 + 1 + q**2 + (0 + 2*q + 0)*(-1 + 1 + q) + 14*q**2 - 3*q**2 + 5*q**2.\nAnswer: 26*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2715810, -5431618, -8147426, -10863234, -13579042?\nAnswer: -16294850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131\/176 + -1\/176. Is 0 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 7 = 3*a, 9*l - 3*a + 232 = 253 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 1. Let s be i(4). Let c = s - 5. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 27 + 51 - 75*x in the form a + w*x and give w.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 80\/12*-5*18\/(-15).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -29 (c) -3 (d) 0.9 (e) 4 (f) -0.5 (g) -1\/6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.034135514 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1556331933.\nAnswer: 3, 13, 19, 2100313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2264 = 22*z + 196. Suppose -2*u - 21 - 109 = -3*i, 2*i - z = 5*u. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 15*s - 266. What is the remainder when 2 + -1 - (-69 + -2) is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 19*t**3 - 8*t**2 - 852*t + 3427. Give j(4).\nAnswer: 1107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/14))**(2\/25) assuming w is positive.\nAnswer: w**(-3\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 6723651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 1. Let q be u(3). Let t(f) = f**3 + 4*f**2 - 6*f - 2. What is t(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/8*1*-4 + (-30621)\/(-519). Calculate the greatest common divisor of 4186 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1670595, 1670616, 1670653, 1670706, 1670775?\n\"Answer: 8*s**2 - 3*s + 1670590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (615\/1722)\/((-68)\/7042) - -37?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.134872 rounded to one dp?\nAnswer: -192.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70903164 divided by 482.\nAnswer: -147102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 3*j + 1. What is p(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**1*l)**(2\/49)\/(l\/l**(-2\/97)*l\/(l*l**(-5\/3)*l)))**(-12\/13) assuming l is positive.\nAnswer: l**(89252\/61789)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000935764263 rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from isdbvbb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 965 - 275747\nAnswer: -274782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -11*k**3 + 27*k**3 + 1 - 2*k + k - 15*k**3. Calculate i(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1102301 - 431?\nAnswer: 1101320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -283 by 12572.\nAnswer: -283\/12572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*2 + sqrt(18) + (sqrt(98) - 2*sqrt(98)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3628 + -3628.5211. What is k rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112 - 125) + (((-234)\/27)\/13)\/(1\/12).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 6:11 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 - 3.07. Let h be 325\/957 + (-2)\/6. Let g = h - -620\/2871. Which is the third smallest value? (a) -4 (b) p (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 12:40 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8691.19 - 5.19. Which is greater: l or -1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-1) + -4)*3. Let l be 12\/t*(-18)\/4. Calculate the highest common divisor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 264 = 3*q + 193, 0 = -3*r - 5*q + 281. Calculate the greatest common factor of 414 and r.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -2ad?\nAnswer: 2ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/(-18)*1\/(-2))\/((-11)\/33)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**11\/x*x)\/x**(4\/9)*(x\/x**(-3))\/x*(((((x\/(x\/(x*x\/(x**(-18)*x))))\/x)\/x)\/x)\/x*x*x)\/x)**(8\/9) assuming x is positive.\nAnswer: x**(2272\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1.789, 11\/7?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (174\/(-203))\/((-6)\/28). Find the second derivative of 139*f + 36*f + 252*f**r - 253*f**4 - 65*f**3 wrt f.\nAnswer: -12*f**2 - 390*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -35*v**2 + 152*v + 3. Let w(t) = 11*t**2 - 51*t - 1. What is 6*c(j) + 19*w(j)?\nAnswer: -j**2 - 57*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d + 7 = 5*y, 4*y = -2*d + 28. Let u = 25 - d. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooff when four letters picked without replacement from {f: 2, q: 1, o: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*5)\/((-68)\/(-68)). Is x > -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-44092)\/(-10) - (3 - (-42)\/(-15)). Suppose -k = -3*u - 362. What are the prime factors of u?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6335 is divided by 96?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 124584 and 1536536.\nAnswer: 4609608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 746523, 746524, 746525?\nAnswer: 746526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.1 + 31.1. Let g = 1 + -0.8. Which is the second biggest value? (a) 0.1 (b) n (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 24*r + 4. Let h be n(3). Is h > 74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 (base 7) in base 15?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -26*w**2 + w - 1. Let n be h(1). Is -25 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(sqrt(30)\/sqrt(3)))\/((3*sqrt(35))\/sqrt(5)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**9\/504 + 7*v**6\/20 + 104*v**5\/15 + v**4\/12 + 134*v**2. What is the third derivative of n(h) wrt h?\nAnswer: -120*h**3 + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 25*a**4 - 25*a**3 - 25*a**2 - 35*a + 30. Let x(g) = -g**4 + g**3 + g**2 + g - 1. Let h(z) = c(z) + 30*x(z). Let h(n) = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5801?\nAnswer: 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**2 + 2*c**2 + c**2 + 6*c - 5*c**2. Let x(a) = -6*a**2 + 5*a. Let q(w) = 5*k(w) - 6*x(w). What is q(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 - 72 = 42*j. Let v(g) = -2*g - 6. Let u(l) = 3*l + 12. Let c(x) = -6*u(x) - 11*v(x). Is c(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, w: 4, h: 2}. What is prob of sequence gwh?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 - 2*s**4 + 5 + 6*s**4 + (0*s**4 + 0*s**4 - 2*s**4)*(1 + 4 - 2).\nAnswer: -5*s**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 m when four letters picked without replacement from {m: 2, w: 2, y: 2, a: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/12)\/((-30)\/(-33930)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, -480.26, -0.34 in descending order.\nAnswer: -0.17, -0.34, -480.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15, -36, -61, -84, -99, -100?\n\"Answer: z**3 - 8*z**2 - 4*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(5\/720*8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 bigger than 106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*u**3 + 44*u**3 + 35*u**3 + 39*u**3 + 43*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-50)\/20*(-1)\/(-5))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2046515 (base 7) in base 8?\nAnswer: 742661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - u - u + (-4 + 1 + 2)*(-3*u + 0*u + 4*u) + 7*u + 2*u - 4*u)*(23 - 17 + 8)*(u**4 - 2 + 2).\nAnswer: 84*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, d: 10}. What is prob of picking 1 d and 3 q?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1344159 - 697*o - 1344159 + (3 - 1 - 3)*(2*o - o - 3*o) - 2 + 2*o + 2)*(-1 + 1 + 2*o).\nAnswer: -1386*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -4. Solve -g*y - 40 = -5*w, -5*w - 5*y + 2*y = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-3))\/((-6)\/(-30)). Let g be (48\/n)\/(4\/10). Is ((-94)\/8)\/(g\/(-352)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 18 = -6*t. Let m be (-12)\/(-1) - (t + 13). Suppose m*g = 7*g + 251. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 2\/11807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 + 33 = 14*r + 42 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -19\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -90, -88, -86, -84?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*m**3 - 2*m**2 - 14*m**3 + 81*m**3.\nAnswer: 104*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479751 is divided by 3382.\nAnswer: 2889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 2:17 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9875 divided by 25?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*k + 76*k + 54 = 152*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*sqrt(1100) - sqrt(1100)) + sqrt(1100) + (sqrt(1100) - (1 + sqrt(1100) + 0)).\nAnswer: -20*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/483)\/(8\/6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34019 - -217755. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4*h - 3, -4*l + 4*h = -5*l - 5. What is the remainder when 14 is divided by (l - 9)*2\/(0 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*r - 2*r**2 + 9*r + 0*r**2 + (-r + 0 + 0)*(-r + 1 - 1).\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4)*3) + sqrt(117) + 3.\nAnswer: 3 + 10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*m + 56 = -104*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/23 or -313?\nAnswer: -313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1130 - -6690. Suppose 5*l + j - u = 0, 2*l + 0*l - 2*j = 3116. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3136*l + 3133*l + 3*r - 132 = 0, 4*l + r = -161 for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9*10\/(-210)*(-2)\/(-1)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9623 + 0.0377. Which is greater: 453 or j?\nAnswer: 453","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h = 2265 - 2141. Is -26\/7 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 2:28 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/12 - (-11180)\/1677 - 14.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s. Let r(a) = -171*a + 2. Give n(r(t)).\nAnswer: -342*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 987 and 47?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6291866?\nAnswer: 2, 7, 449419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -113*w - 1369. Determine v(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4744, 4727, 4710, 4693, 4676?\n\"Answer: -17*i + 4761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**2 + 3*p - 3. Let i(w) = -7*w**2 - 2*w + 2. Give 7*i(k) + 4*q(k).\nAnswer: -29*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**3 + 14990*b**2 - 5*b - 14990 = 0.\nAnswer: -2998, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 + 2*d + 2. Let j be 2\/(-13) + 1215\/39 + 3. Let q = j - 30. Suppose 3*c = -a - 17, -q*c = a - 5*a + 12. Determine v(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -46. Let l = 4 + d. Let s = l - 29.112. What is s rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49552641 and 246.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(4\/40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 625.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 4*b + 2*b)*(2 + 0 - 3)*(1 + 1 - 1)*((-1 + 4 - 2)*(2 - 3 - 1) + 10 - 7 + 7).\nAnswer: -56*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - 3*f + 43*f - f to the form z*f + x and give z.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367, 684, 949, 1162, 1323, 1432, 1489?\nAnswer: 1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/9)\/(1 - 6\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15320 - 17909 = 329*i for i.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 h when three letters picked without replacement from {j: 1, h: 1, r: 1, f: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -401*a + 803*a - 3 - 403*a in the form l + o*a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 - -160. Suppose -4*j + 2*q = 4*q - a, -4*q = 5*j - 282. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11802 (base 9) in base 12?\nAnswer: 4718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 226 and 69382.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**7\/840 + j**6\/36 + j**5\/12 + 11*j**4\/24 + 13*j**3\/3 + 12. Let a(k) be the third derivative of d(k). Give a(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + -0.2. Let w be (-14 - 1055\/(-75))\/(1\/(-9)). What is the nearest to -2 in w, -5, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 12 = -5*b. Let n(w) = 2*w + 10. Let t be n(b). Is 16 a factor of 49 + ((-1)\/(-1) - t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343310 (base 5) in base 14?\nAnswer: 46ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3766 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -32*k**3 + 3*k**2 + 3*k - 11. Let f(a) = 66*a**3 - 7*a**2 - 7*a + 23. Calculate -3*f(y) - 7*g(y).\nAnswer: 26*y**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (6 + -1)) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5, 1, 817 in decreasing order.\nAnswer: 817, 5, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 85 = 100. Let q(n) = 4*n**2 - 6*n + 16. Let f(w) = 5*w**2 - 6*w + 18. Let u(o) = a*f(o) + 6*q(o). What is u(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.24, -11\/5, 3\/7 in decreasing order.\nAnswer: 3\/7, 0.24, -3\/4, -11\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2 + 1. Let m = 15 + -13. Suppose -5*o - 4*j - 2 = -27, 20 = 4*o + m*j. Let r(t) = -t**2. What is o*r(z) - i(z)?\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 - 7*m + 2*m - m**3 + 2 + 5*m in the form y*m**3 + n*m**2 + o*m + x and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**2 + 5*y + 11. Let v(l) = 9*l**2 - 9*l - 21. Let q(i) = -7*b(i) - 3*v(i). What is q(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189 = -74109*a + 74154*a - 54 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (744\/12)\/((-4)\/(-138)).\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**2 + 0*c**2 + 363*c**3 - 360*c**3 - 105)*(-2 + 2 - 3*c) to the form a*c**4 + s*c + d*c**2 + v*c**3 + j and give s.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 9*g**2 - 11*g - 4. Let x be k(-10). Let q(y) = -y**2 + 5*y - 2. Give q(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -817.7 rounded to the nearest ten?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 11*k = -48. Let n(p) = -p**3 - 16*p**2 + p - 10. Let y be n(k). Let h = -16 - y. Solve h = -0*m + 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 30 + 4*c - c**2 + c**3 - 19 - 15. Let g be m(2). Solve -5*q - 2*s - 8 - 2 = g, -2*q = -s + 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10492 and 732?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/259 or -3?\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5190, -5210, -5230, -5250, -5270?\n\"Answer: -20*w - 5170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*b - 19, s + 3*b = -2*s - 12. Let x(r) = r**2 + 5*r - 9. Calculate x(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-407)\/(6\/(-15)*30\/(-12)). Let s = -131 - x. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 665628697 and 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*w - 25 = 0, -23*k + 21*k = 5*w - 53. Calculate the greatest common factor of k and 1462.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19966126 is divided by 312?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u. Let m(h) be the first derivative of -62*h**3 - 244 + 14*h**2 - 14*h**2. Calculate m(r(q)).\nAnswer: -186*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 64780077 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (59\/4)\/((-4)\/32). Let r = -41 - j. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6701010 is divided by 2233645.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 11692*m + 82040.\nAnswer: -4*(m - 2930)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2928 = -b + 2904, -4*b = 4*j - 24 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 15 + 12)*(4*l - l + 2*l)*((-4 - 2 + 4)*(-1 - 2 + 2) + 0 + 3 - 2 - 3 - 4 + 6) to the form n + g*l and give g.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -11, -20, -33, -50, -71, -96?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, 1, 3, 4, -22761 in increasing order.\nAnswer: -22761, -7, -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-4 - -6)) + (10 - 12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572114*n = r - 572117*n - 56, -5*n = -3*r + 92 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aodkakaaudod. Give prob of picking 1 a and 1 k.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5395168835?\nAnswer: 5, 7, 6779, 22739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1118)\/1872 + 8\/36)*1*4\/(-1).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65332 is divided by 4318?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 24.\nAnswer: -7\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14275\/4 + -3568. What is the nearest to -2 in -0.69, m, 2\/7?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + -34. Calculate the highest common divisor of 161 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 200324.73 months?\nAnswer: 16693.7275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.8 <= 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9579491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by -86\nAnswer: -49\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 74823683144.\nAnswer: -74823683144.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/562277 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -930 by 3.\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*u**3*x**2 + 3933281*u**3 - 3*x**2 - 3946*x + 3170 wrt u?\nAnswer: 18*u**2*x**2 + 11799843*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 2*p + 1. Let h = 12 + -8. Let s = 2 - h. Determine a(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000126415 rounded to 6 decimal places?\nAnswer: 0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148 divided by -4.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -21.246 at least as big as -225\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*r**4 + 126*r - 128*r + 5*r**2 - 7*r**4 + 13*r**4 - r**3 to the form z*r**4 + x*r**3 + l*r + q*r**2 + s and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12182.21 + 15245.531. Let s = f + -3063.12100016. Let b = 0.2 - s. Round b to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 - 6*s - 44*s**2 - 5*s**3 + s**3 - 14*s**2 - 2*s**3 to i*s**2 + y + o*s + u*s**3 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -3)\/((-9)\/3078). Calculate the highest common divisor of 38 and s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 1 + 1)*(t**3 + t - t) + 0*t**4 + t**4 + t**4 - 231*t**3 + 115*t**3 + 116*t**3 - 2261*t**4.\nAnswer: -2260*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 2*g + 129*g**2 + 30*g**2.\nAnswer: 159*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/6 and -67\/985998?\nAnswer: 985998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/5 - 1390*k**3 + 20856*k**2\/5 - 20858*k\/5 + 6953\/5 = 0. Calculate k.\nAnswer: -6953, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 7*j - 9*j)*((4 - 3 + 0)*(5 - 1 - 2) + 37 - 5 + 27).\nAnswer: -305*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/((-6)\/2) + -1. Suppose 3*p - 3*c + 10 = 4, 4*p + i*c - 6 = 0. List the prime factors of 6 - 8 - (-7 - p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/48 and 11\/90?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 4 - 4)*(0 + 1 + 0) + (-5 + 14 + 6)*(-2*k**2 + 7*k**2 + 3*k**2).\nAnswer: 119*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -73 - 93 - 141*a**4 - 31 + 596*a - 594*a wrt a?\nAnswer: -564*a**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144 + 158. Let w = 67 - 0. Calculate the remainder when w is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8334655934 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1232 and -57?\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -32, -3121, -3 in ascending order.\nAnswer: -3121, -32, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p + 1. Let j = 8 - 3. Let i(l) = -l + 4. Let g(a) = -1. Let m(c) = -4*g(c) - i(c). Let u(b) = j*m(b) - q(b). What is the derivative of u(k) wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 22, 7, -9498 in ascending order.\nAnswer: -9498, 1, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**12)**(-43)*(h**(-5\/3))**8)**(1\/11) assuming h is positive.\nAnswer: h**(-1717\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 29*l + 42 + 12. Let p = -2.2 - -1.6. Let t = p + 1.4. Which is the third biggest value? (a) l (b) -0.03 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - (-24 + 47) - 65 - (13 + (1 - 3)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -20. Which is smaller: 2\/7 or g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29103, 29238, 29493, 29928, 30603?\nAnswer: 31578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 463923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 95450, 94742, 94034, 93326, 92618, 91910?\n\"Answer: -708*n + 96158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*g + 9 = 98*g. What is the closest to 0.06 in -5, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102599.\nAnswer: 7, 14657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25134 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 497 = -2*v + 533, 5*v + 6 = -2*p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4673 + 4677. Solve -p = -b + 1, h*b - 7 - 2 = 3*p for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 2*v + 1. Let o(z) = -7*z**2 - 12*z - 6. Let w(p) = -6*d(p) - o(p). Let t(f) = 8*f. Calculate t(w(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + 8. Let r = 12 + -7. Let i = h - r. Is i a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 598437?\nAnswer: 3, 7, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -12b95f?\nAnswer: 12b95d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gffg when four letters picked without replacement from {x: 5, f: 2, g: 7, j: 3}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (43 - 94*g**3 - 43)*(5 + 5 + 11) as w*g + p*g**2 + d*g**3 + b and give d.\nAnswer: -1974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 230, 134, 30, -88, -226, -390?\n\"Answer: -v**3 + 2*v**2 - 95*v + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((368\/(-10))\/2)\/(24\/40). Which is greater: -31 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in -4, 61344, -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 9:29 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -446.6 - -446.91. Which is the nearest to 2\/11? (a) 1\/9 (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 1 - 1)*(-12*i + 54*i + 177*i)*(2 + 3 - 4) + (3*i - 2*i + 0*i)*(2*i - i - 2*i).\nAnswer: -220*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + w - 2*w)*(w**4 + w - w) + 5*w**5 - 2*w**5 - 5*w**5 + (-w**3 + 0*w**3 + 3*w**3)*(-3*w**2 - 5*w**2 + w**2) - 4*w**5 - 2*w**5 + 3*w**5.\nAnswer: -18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u**3 - 61*u**3 + 14*u**3 + 14*u**3.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60545688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1580147 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -16*w**2 - 1544*w - 764. Let n be j(-96). What is c in 2*c**2 + 0*c + 1\/2*c**5 + n*c**3 + 0 + 5\/2*c**4 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 x, and 2 j when four letters picked without replacement from {v: 2, m: 1, u: 1, x: 1, j: 2, q: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6328964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 115222.1909 rounded to the nearest ten?\nAnswer: 115220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 101 = -7*w + 3*j, 5*w - 5*j - 105 = 0. Let g = w - 37. Let v be 6\/(-10) - g\/5. Sort 2, -4, v in increasing order.\nAnswer: -4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-355 + 26)\/(3\/(0 - 3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64900 and 154.\nAnswer: 454300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, g: 2, t: 6, n: 2, b: 5, u: 1}. Give prob of picking 1 d and 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i + 32. Let w(c) = -22*c - 98. Let h(t) = 2*w(t) + 7*y(t). Let b be h(-5). Solve -3*x + b = -3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -172? (a) -1\/4 (b) -0.3 (c) 16 (d) 419\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 39571.26 litres?\nAnswer: 39571260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -d - d. Suppose 0 = -4*k - d, n - 4*n + 3 = 3*k. Suppose -52 = n*s - 4*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23421 (base 6) to base 2.\nAnswer: 110101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267*z + 81 = -276*z. Let x(h) = h**2 + 8*h - 3. Calculate x(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/14*1)\/(9*30\/945)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/30*3\/(27\/(-12))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4311882957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 15, 4, 722, 0 in increasing order.\nAnswer: -4, -2, 0, 4, 15, 722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z - 20. Suppose 17 = 3*f - y - 20, 2*f - 38 = 4*y. Solve 2*o + 3*o - 17 = r, f = o - z*r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 316*b + 514.\nAnswer: 316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**2\/2 - 6*d + 2. Let h be i(6). Let w(y) = -y**3 + 6*y**2 + 2*y - 7. Let b be w(6). Solve -20 = -h*q - 4*q, -q = b*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + n**3 + 3*n**4 + 6*n - 2*n**3 - 9*n**2.\nAnswer: 3*n*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9*y = 0. Suppose 4*b + 15 = 5*i, 0 = 2*i + i - b - 9. Solve y = p - 5*p - 4, -9 = 3*s - i*p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33501.\nAnswer: 3, 13, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 679 - 1376 + 709 - 11*i + i**2. Determine m(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20976338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10200 = -11*i - 6*i. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 8*w + 14. Calculate r(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(sqrt(272) + 1) + sqrt(272) - sqrt(272) - sqrt(272)) + (sqrt(272) - sqrt(272)*1) + 5)*3)**2.\nAnswer: 3960*sqrt(17) + 62289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**4 - 1125*r**3 + 77280*r**2 - 2145280*r + 21135360 = 0. What is r?\nAnswer: 32, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 0.1 (c) 6 (d) -3 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 5*s**3\/3 - 3*s**2\/2 - 3*s + 2. Is z(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 4:34 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6720 by -168.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 - 126*p**2 - 515*p - 1448. Give h(67).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 33*p + 3391. Give j(-102).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -19 - (-8)\/(-10)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/5 + 541512*h\/5 + 3790486\/5 = 0. What is h?\nAnswer: -270749, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**4\/4 - 4*y**3\/3 + 5*y**2\/2 + 4*y + 3. Let a be u(-5). Which is bigger: 5 or a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**5 + 16*j**4 - 8*j**3 - 48*j**2 + 36*j = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s - 7. Let j(d) = d + 9. Let g(a) = 4. Let x(o) = 2*g(o) - j(o). Calculate -4*x(k) + y(k).\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 - -84. Let u = -38 + f. Let m = -30 - -22. Which is the nearest to u? (a) m (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10 = -h. Suppose 0 = 3*m + h*z + 25, -m + 2*z - 5*z = 15. Suppose m = 3*x - 6. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2745 is divided by 392.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10125 and 7778835.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174618 and 90252.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -807155*x**4 - x**2 - 16974*x + 16?\nAnswer: -9685860*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 10. Let b = h - 15.07. What is b rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -693*u + 93. Let h be m(17). What is the tens digit of 3 + (-2 + -1 - h\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -39, -0.3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24736060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**5 + 6*l**4 + 36*l**3 + 42*l**2 + 15*l = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 11) to base 15\nAnswer: -11e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 626161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 138*m**2 + 2420 - 2420 + (-8 - 2*m + 8)*(-4*m - 4*m + 4*m)*(3 - 3 - 1) to the form t*m + b*m**2 + f and give b.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -324.734 + -0.266. Let n = j - -325. Is -230 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 165*y + 311 - 2170 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -34. Let s = 17 - d. Solve s*t - 4*t = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334618?\nAnswer: 2, 167309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8839 - -8835. Which is greater: u or -25?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11119469 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 + 68. Suppose 4*i - 4*l = -24 - b, 5*l - 97 = 2*i. Calculate the remainder when 258\/8 - (-45)\/i is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4, 5*f - 4*f + 5*q = -4. Suppose 5*p + 7 = -2*t, -31 + f = -4*t + 3*p. Let y(x) = -11*x + 3. Let k(d) = 5*d - 2. What is t*y(b) + 9*k(b)?\nAnswer: b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 86*p**2\/9 + 496*p\/3 - 120.\nAnswer: 2*(p + 18)*(43*p - 30)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 6*d - 40. Let g(m) = -m**3 - m**2 + m + 37. Let u be g(0). Suppose 5*o = -2*k + d, -3*k - 4*o = 2*k - u. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -508*v - 8. Let t(p) = -12*p - 5. Give b(t(g)).\nAnswer: 6096*g + 2532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 6 = z - 3*u, 0 = z + 4*u + 8. Suppose z = 5*c + r - 7 - 10, -4*r + 8 = 0. Sort 6\/11, 4, c in increasing order.\nAnswer: 6\/11, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 1. Let l be (3\/((-24)\/1))\/(32\/(-256)). Let j(c) = 2*c - 12. Give l*j(o) - 4*x(o).\nAnswer: -2*o - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-85)\/(-15) + 3\/9. What is the third derivative of -d*z**5 - 9*z**5 - 3*z**2 + 11*z**2 + 4*z**5 wrt z?\nAnswer: -660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 4*l + 3*l)*(1 - 1 - 3)*(4*l - 45*l**4 - 4*l).\nAnswer: -405*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = j - 12 + 10 + 10, 4*j + 2 = -14*i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 343, 292, 225, 136, 19, -132, -323?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 1, 7\/9, -4, 10\/41?\nAnswer: 10\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12 + 9)*1*-7. Suppose 2*p - c = d, p - 5*d = 6*p - 45. Let z(h) = -4*h + 9. What is z(p)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1243, 1651, 2047, 2425, 2779, 3103, 3391, 3637?\n\"Answer: -y**3 + 415*y + 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 25. Let d = p - -23. Suppose -4*o + 0*o = -4. Which is the third smallest value? (a) o (b) d (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/2550*(-36)\/(-8))\/((63\/10)\/7).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-144)\/(-10))\/18)\/((-6)\/145)*108\/72?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.019, -3\/5, -0.21?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttttt. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 6:10 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 22 + 37*c - 3\/2*c**2. What is the tens digit of y(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-1770855\nAnswer: 3541710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.15.\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from oroooooooororroroo?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236655\/(-6)*(-64)\/160?\nAnswer: 3, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-10\/13)*u\/u**(1\/24) assuming u is positive.\nAnswer: u**(371\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -45.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/5 - 6*m**4 + 22*m**3 - 32*m**2 - 7*m + 2. Factor r(v).\nAnswer: 4*(v - 16)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(2 - 3 + 2)*(-2 - 2 + 2)*(3972 + 18*d - 3991 + 35*d).\nAnswer: 106*d - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -8 + 308\/35 - (-2841)\/5?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 29\/(-1) + (2 - 3). Let d = r - -49. Let b = -8 + 43. What is the remainder when b is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-20)\/18*3. Let o be -1 - 2\/(8\/4). Let k be o\/11 - (-40)\/(-385). Which is the second smallest value? (a) 0 (b) k (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 + (14040\/728 - 93).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q - 319*q**4 + 328*q**4 + 7*q + (2*q**2 - 2*q**2 - q**2)*(-6*q**2 + 4*q**2 + 0*q**2).\nAnswer: 11*q**4 + 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 2 - 8*x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v - 77*v + 2064210 = 143940. Is v a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k + 33*k = -3*f + 57, -2*k + 30 = 4*f. Which is greater: k or 13\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -189283857 at most -189283857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z - 76. Let m be q(-24). Solve 0 = 5*s + 2*i - m, -2*s = i - 0 - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12456*i**5*v**2 + 87*i**5*v - 2*i*v**2 - 2*i*v + 273*i - 53*v**2 + v wrt i.\nAnswer: 249120*i**3*v**2 + 1740*i**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 820028982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7590 and 164450.\nAnswer: 493350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 11*f**2 + 11*f + 14. Let b be z(12). Solve 3*l + l - b*x = 2, 3*l - 7 = -4*x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61504*m**4 - 15203174752*m**3 + 245212484*m**2 - 988760*m = 0. Calculate m.\nAnswer: 0, 1\/124, 247190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -439*m + 415*m + 168 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 40*h + 177. Let f be t(-35). Suppose 2*p = -5*y + 749, -15*y + 11*y = -f*p + 776. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-6 - -15) + -5 - -8 - 31?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or -113.32?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 10. Suppose 5*s = z*f - 5, -2*s - 23 = -5*f - 0*f. Is 2\/9 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) + 5 + -4 + (sqrt(704))**2.\nAnswer: 9*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s + 2. Let t(h) = 9*h + 74. Determine 6*m(x) + t(x).\nAnswer: -3*x + 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3147481.\nAnswer: 23, 281, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 6:57 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 18. Let a be u(11). Let f(v) = 4*v**2 - 4*v + 4. Let y(s) = -13761 - 8*s**2 + 6874 + 7*s + 6880. Give a*f(x) - 4*y(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 12:04 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16+-2325\nAnswer: -2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -1)*(-2 + -1). Let x = 2 - y. Suppose -i + 13 = x*n, 0 = -i - 1 - 1. Solve -3*c = 3, -n*c + 5*c = o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a = -10. Let p(y) = -2*y**2 - y - y + a*y. Let w(o) = -o**2 + 3*o**2 - o**2. Give w(p(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0 (c) 3 (d) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 34\/547 (b) 1\/108 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1972 and 119\/290.\nAnswer: 9860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7700 - 7699.82274. Round z to two decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210\/(-5)*(-4)\/(-28)*-2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3557\/5001475 + -2\/5407. What is the common denominator of -149\/30 and b?\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -7*q**2 + 4*q + 5. Let d(y) = 4*y**2 - 2*y - 3. Calculate -5*d(i) - 3*v(i).\nAnswer: i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (366\/610)\/((-2)\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a microgram in nanograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - 8?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1770 + 1773. Let o(s) = s - 2. Let a be o(6). Solve -2*l = w*m - a*l + 9, 3 = -m + l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, 41, -9, -4 in increasing order.\nAnswer: -105, -9, -4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -1\/2, -5, 0.4, 0.2 in descending order.\nAnswer: 20, 0.4, 0.2, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 1027 - 521 - 506 + 7*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8567 or -21\/5?\nAnswer: -8567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.664796 to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 28781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**5 + 564*r**4 + 14028*r**3 + 94080*r**2.\nAnswer: 3*r**2*(r + 14)**2*(r + 160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*(u*u**(-2\/101)*u)\/u)\/u)**(7\/5))**(2\/51))**(-1\/4) assuming u is positive.\nAnswer: u**(-231\/17170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-28))\/((-810)\/(-51030)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + ((-3)\/(6\/16))\/(-2). Let b be (-1)\/2 - (-5)\/2. Which is smaller: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 8*r - 107. Let d be t(-8). Let m = -81 + d. Solve -3*g = -3*o + 21, m*o - 3*g + 2*g = 22 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2686852?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0.04, -2\/9, 1, -2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 8, 6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-2*v + 0 + 0)*(8 + 8 - 6).\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 735453 and 81.\nAnswer: 2206359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from soooooooooooo.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -586, -1228, -2290, -3766, -5650, -7936?\nAnswer: -10618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*r*w + 2663278*r - 54746*w**2 wrt w?\nAnswer: 4*r - 109492*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) -4 (c) -160.9 (d) -0.3 (e) 1\/5 (f) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -21*z - 47 - 368*z**2 - 16*z + 369*z**2 + 24*z. Determine y(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28026165*z**4 + 47548055*z**2 wrt z?\nAnswer: -672627960*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8458.5804 rounded to the nearest one hundred?\nAnswer: -8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 38*l**3 - 2348*l**2 - 493*l - 171. Give y(62).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 1. Let d be s(25). Let y = d + -24. Suppose -y*k - 2 + 8 = 3*o, o - 3*k - 2 = 0. Solve 4*w - o*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -97. What is the third derivative of 2*h**4 - q*h**5 - 4*h**2 - 2*h**4 + 0*h**2 wrt h?\nAnswer: -1800*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from {p: 3, t: 8, q: 1, s: 2, a: 1, v: 2}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79061598 by 908754.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -21. Let t(k) = -k**3 - 7*k**2 - 7*k - 1. Give t(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.3, 9, -2\/9, -5 in descending order.\nAnswer: 9, 0.3, -2\/9, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 7 - (-164 + 173)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5\/8 - 19*l**4\/4 - l**3\/2 + 579*l**2\/4 - 2331*l\/8 = 0.\nAnswer: -37, -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 3*n - 3. Let q(c) = -3*c**3 - 8*c + 8. Give -3*q(u) - 8*v(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7) + 4\/(-14). Let y(i) = -i**3 - i + 15. Let s be y(g). Solve -2*u - 3*u = -s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - (sqrt(475) + (sqrt(475) - (sqrt(475) + (0 + sqrt(475) - sqrt(475)))))**2) + (sqrt(19) - sqrt(684)*-2).\nAnswer: -475 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 6. Let d be 3 - (-2 + (13 - 2)). Let z be v(d). Suppose z = 8*p - 3*p - 20. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byb when three letters picked without replacement from bbbbbyybb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240789682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*n - n. Let d(u) = -n*u**2 + 190 + 5*u**2 - 186. Let q(g) = 2*g**2 + 5. Determine -5*d(z) + 4*q(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 25*y + 2. Let u(z) = -550*z - 45. What is 45*g(m) + 2*u(m)?\nAnswer: 25*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2 - 5*n**2 + 7*n - 5 - 10*n. Let f(b) = 4*b**2 + 2*b + 2. Give 3*f(k) + 2*l(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11575402*c**2*t**2 + c**2 - 4*c*t**2 + 470*c*t - 156*t**2 - 2*t + 2 wrt c?\nAnswer: -23150804*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -94, -70, -36, 8, 62, 126?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12 and 32630.\nAnswer: 32642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9640\/3 + -3210. Let t = -3.9 + 4.2. What is the third smallest value in t, 12, p?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (4 + -3 + (-13 - -4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -185785 divided by 2545\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 248315, 1.31, 1\/5, 2\/11 in decreasing order.\nAnswer: 248315, 1.31, 1\/5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000584 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/14697 and -5\/11.\nAnswer: 161667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -32. Let s = x + -23.4. What is the second biggest value in 0.3, -17, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 608\/89?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2 - 120933186*f - 1060728861 wrt f.\nAnswer: -4*f - 120933186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 73 + 4 + 0. Calculate the greatest common factor of h and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - c - 3)*(-2*c**4 + c - c) + 5*c**5 - 4*c**5 - 6*c**5.\nAnswer: -3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 6*d + 6. Let p be r(6). Let j(g) = -4*g + 8. Let i be j(p). Let o be (-15)\/(-10)*i\/(-6). Solve y = 5*w + 9, -o*w + 8*w - 2*y + 12 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**5\/60 + 7*c**3\/6 - 2*c**2. Determine i(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42321 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (234\/(-27) - -8)*15\/(-1). Let r(q) = 12*q + 4*q - 10*q + d*q. Let m(g) = -g. What is r(m(s))?\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + 46. Let t = -28550 + 28653. Let u = t - g. Which is the fourth biggest value? (a) 1\/3 (b) 1 (c) 5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -731180*l + 48709 wrt l?\nAnswer: -731180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3739 + 558 - 170 = -125*h - 4123 for h.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.2 + 9. Let a = 5.8 + -0.8. Let f be 0*((-2)\/(-2) + 0). What is the closest to f in a, -0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 491\/2, 2\/13, 3, 711 in increasing order.\nAnswer: 0, 2\/13, 2, 3, 491\/2, 711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*u*z + 59829*u - 2434669*z + 2 wrt u?\nAnswer: -3*z + 59829","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 256049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 - 15078*l + 18945507 = 0. What is l?\nAnswer: 2513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 14 = -5*q - 53, 7*x + 5*q + 14 = 28*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-5)\/(-12) - 2\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*x - 3*x - 4*x)*(53 - 29*x**2 - 53) - 59*x + 13*x**3 + 59*x to the form j*x**3 + o*x + p + w*x**2 and give j.\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/18 + 95\/30. Suppose -l = -s*c + 7, 0*c + 2*l = -c + 14. Suppose 3*i = c*i - j - 7, -j = 2. What is the remainder when 9 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2632 - 9c53?\nAnswer: -c485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-7 + (15 - 14)*-8*(-3)\/2).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/884 and 29\/1547?\nAnswer: 6188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10250 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**3\/3 + 5*x**2\/2 + 2*x. Let s = -48 + 73. Suppose -20*k + s*k + 15 = 0. Let g(t) = t - 2. Determine k*c(q) - 7*g(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - 20. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-eight fifths of a microgram?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: 7\/(-147)*(-18)\/(-30)*5\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 6:18 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -164, -491, -1108, -2111?\nAnswer: -3596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 220787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 69*q**3 - q**2 - q + 2. Let y be t(1). What is the units digit of y\/5 + (-28)\/35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2158 - 2122. What is the greatest common divisor of p and 534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 34*g**2 - 2457*g + 648. What is v(72)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + c**3)*(-c + 2*c + c)*(-9 + 4 - 1)*(-5 + 1 + 5).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(104) + 6*(-3*sqrt(104) + sqrt(104) + sqrt(104) + sqrt(104)))\/(sqrt(200)*-3)*-4)**2.\nAnswer: 208\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 55 + (-20)\/((-80)\/(-76))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 l when three letters picked without replacement from {l: 2, c: 1, q: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1946628.3 months?\nAnswer: 16221.9025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -41 * -10\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2175398 plus -15.2?\nAnswer: 2175382.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) 3 (b) 0.4 (c) -0.16 (d) -85 (e) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000078392387 to 6 dps.\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - -4. Let h be (-4)\/2 + (5 - -2). Suppose -l = -h*v + v. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54725357 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 995375*g - 995380*g - 19 + 7.\nAnswer: -5*g - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*((sqrt(4752)*2)\/(sqrt(44)\/sqrt(4)*1) - (0 + (5*(sqrt(3) + 1) + sqrt(3) - (sqrt(48) + 1 - sqrt(3)))))**2.\nAnswer: -336*sqrt(3) + 2678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3373728 take away -240219?\nAnswer: 240218.6626272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 + -1)*(2 + -3). Let h = g + -4. Solve 3*v = -w - 2*v + 27, h*v - 9 = 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 156, 379, 690, 1089?\nAnswer: 1576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 313834 = 12*o - 156240. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111\/20 + 24\/5. Let m(a) = a**2 + 8*a + 5. Let i be m(-5). Find the common denominator of b and (4\/i)\/(8\/(-1390)*3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3484857.\nAnswer: 3, 1161619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 80*b**2 - 3181 + 209*b**3 - 568 + 174*b**3 + 176 - 79*b**2 wrt b?\nAnswer: 1149*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrbb when four letters picked without replacement from bbbrbbbbbjbjbbbbb.\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(180)*1*-3 + sqrt(180) + (-1*(sqrt(180) + 0) - sqrt(180)) + 4 + 0 + sqrt(180) + -3*sqrt(180) + 2)*6)**2.\nAnswer: -388800*sqrt(5) + 5864400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + 0.2. Let h = 0.7 - 1. Let x = p - h. Round x to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111110000001111000 (base 2) to base 7.\nAnswer: 16205035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*s = -39*s - 574 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -0.6. Let p = -0.3 + s. Which is the nearest to 2? (a) 0.3 (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2582654976 rounded to four decimal places?\nAnswer: -0.2583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-370)\/18648)\/((-395)\/(-711))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l + 310 = -l. Suppose 178 = 2*u - 62. Suppose 2*o - l*o = -u. Calculate the smallest common multiple of 18 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-152)\/(-10))\/(-2 + (-12)\/(-5)). Calculate the greatest common divisor of o and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55*-60\nAnswer: 3300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m + 2264 = 7295. Calculate the highest common factor of 129 and m.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 16708.86 months?\nAnswer: 1392.405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11676186, 11676244, 11676304, 11676366, 11676430, 11676496?\nAnswer: 11676564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3223*w**2 + 3166*w**2 - 6398*w**2.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k - 179 - 73 - k + 252.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(3) - (sqrt(3) + -1))*1 + (sqrt(96)\/sqrt(2) + sqrt(3))*-1.\nAnswer: -5*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12121222 + 122?\nAnswer: -12121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 j, 1 s, and 1 v when four letters picked without replacement from lpsvrrj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -22*s - 25. Suppose 4*u - n - 8 + 31 = 0, 3*n - 14 = u. Is y(u) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 4*f. Suppose -51 = f*b + 41. Let m = -30 - b. Calculate the highest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8555 - -8554.9. Which is the closest to -3? (a) -0.8 (b) g (c) 0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -11. Let u = -2\/355 + 1209\/355. Let q = 21\/5 - u. What is the second smallest value in 1, q, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 = 5*f - 26, -4*d = 5*f - 33. Solve -3*c - d = 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -9158*j**2. Let m(u) = 274*u**2. Determine m(o(b)).\nAnswer: 22980096136*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/27 - 194\/(-18) - -1. Let z(j) = 2*j - 24. Let n be z(t). Suppose n = -2*x - 4*x + 276. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35489.4 rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.83 rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (23 - 9) - (3 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 256769540 equal to 256769540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109788\/1423 or 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.29425mg in grams?\nAnswer: 0.00529425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -46. Suppose 0 = -5*b + 10 + 5. Suppose b*f = 2*f + 37. Calculate the remainder when f is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5 - 5*j + 12 + 13*j - 7. Let s(k) = 7*k - 1. Give s(z(b)).\nAnswer: 56*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -746, 23, 1, -1, 3\/2?\nAnswer: -746","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160397*q**3 + 92723*q**2 + 2?\nAnswer: 962382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -90*f + 2. Let l be t(-1). Let y = 463\/5 - l. Factor -3\/5*o**3 - 6\/5*o**2 - y*o + 0.\nAnswer: -3*o*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 bigger than -26550\/791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/6 - 2\/(-6))\/(149\/((-280120)\/141))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 1)*(0 + 0 - 2*d)*(4*d**2 + 2*d**3 - 4*d**2) to s*d**3 + q*d**4 + b + h*d**2 + v*d and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7 (b) -20 (c) 5\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 190\/57 - 2\/(-3). Suppose f*y - 2236 = -3*g + 6*y, 2*y = 4*g - 2982. What are the prime factors of g?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1622635 and 2331?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -17*v**2\/2 + 7. Let w(b) = 7*b. What is p(w(j))?\nAnswer: -119*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*c + 4*s + 3, 4*s = -4. Let b = -1 + -2. Let x = 3 + b. What is the closest to c in -4, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 + 9*q**2 - 5*q - 3. Let s(a) = a**3 + a**2 - a - 1. Let r(p) = s(p) + v(p). What is the tens digit of r(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -18. What is the biggest value in -1, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288268428 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 12\/233?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -761\/14, 1\/2, -0.743 in descending order.\nAnswer: 2, 1\/2, -0.743, -761\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 49*z**2 - 10*z - 60. Let q(s) = 73*s**2 - 14*s - 90. What is 5*q(t) - 7*u(t)?\nAnswer: 22*t**2 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2 - 16*h + 370. Calculate k(-16).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 o when three letters picked without replacement from {l: 2, k: 1, r: 1, m: 2, o: 1, y: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/8, 5, 0.3, 6\/7, 2\/371 in descending order.\nAnswer: 5, 1, 6\/7, 0.3, 2\/371, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -2, 2597 in decreasing order.\nAnswer: 2597, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**4\/2 + 2*j**3 - 23. Let l(u) = 8*u**3 + 25*u**2 - u. Suppose -b = b - 18. Let x(f) = b*d(f) - 2*l(f). Factor x(i).\nAnswer: 2*i*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 12, 4, -10?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -8 - (1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 12:57 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(d + d + 0*d)*(75 - 145 + 43)*(-d**2 - 12 + 12 + 2*d).\nAnswer: -108*d**3 + 216*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 - 3*y + 10. Let o(i) = -4*i**2 + 2*i - 10. Let r(t) = 4*o(t) + 5*u(t). Let p = 30786 - 30794. Calculate r(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v + 7. Suppose 2*q - 9 + 34 = 5*x, -25 = -q - 5*x. Suppose 4*y - 24 + 4 = q. Calculate o(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24 + -1 + -2 + 0. Let n = 32 - k. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**6\/r)\/r)\/r)\/r*r*r**(-4)*r*r**5*((r**5*r*r)\/r*r)\/r*(r\/(r**(2\/3)*r))**(-5\/6)*r*r*r**0*r*r**(-8)\/r assuming r is positive.\nAnswer: r**(50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(16)\/(sqrt(392) + sqrt(8) + sqrt(8)) + 2*sqrt(162) + sqrt(162).\nAnswer: 253*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318 - d**2 - 318.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*(-6*((2*(sqrt(11) - (1 + sqrt(11))))**2*-4 + -4) + -2)*1.\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21555 and 309.\nAnswer: 2220165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 552 - 383. Calculate the remainder when h is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1819 + 28*b - 1819)*(2 + 6 + 2)*(-9*b + 2*b + 3*b).\nAnswer: -1120*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 669, 1360, 2055, 2754, 3457, 4164?\nAnswer: 4875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*l*w**2 + 3*l*w + 15*l - 7*w**2 + 47*w - 3 wrt l?\nAnswer: 31*w**2 + 3*w + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1047 + -1?\nAnswer: -1048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/27892 and 83\/532?\nAnswer: 195244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - x - 11 = 0, 5*x + 22 - 11 = -2*t. Suppose -4*p - 31 = 61. Let m be p\/(-7) - (-4)\/(-14). What is the third biggest value in t, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*f = 62 - 258 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(51) + sqrt(255)\/sqrt(5))*1 - (1*sqrt(153))\/sqrt(3))*6)\/(-1*3*sqrt(3) + -3*sqrt(243)).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5874 + 5754 = -684*d for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7541 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -633518, -7, 1.\nAnswer: -633518, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 32 + 9)*(s**5 - 4*s**5 + 5*s**5) + (s**2 - 2*s**3 - s**2)*(2*s + s - 2*s)*(124 + 20*s - 124).\nAnswer: -98*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -644, -1232, -1832, -2444, -3068, -3704, -4352?\n\"Answer: -6*k**2 - 570*k - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 694?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*m - 29*m + 308 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.003*-0.3.\nAnswer: -0.3009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152617946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/950207 in 16, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4a - 0?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**5\/15 + 4*s**3 - 24*s**2. Let a be w(-7). What is the highest common divisor of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 4*i - 15. Let d(v) = v**3 + v**2 - v - 7. Let h be d(0). What are the prime factors of a(h)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2739761 or 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -266, -546, -934?\nAnswer: -1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q. Let k(t) = -4*t + 3. Let c(s) = s - 2. Let f be c(4). Let g be f*((-12)\/8)\/3. What is g*k(v) + 6*w(v)?\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64605 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2. Let u(r) be the first derivative of -3*r**2\/2 - 6. Determine u(s(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 - 5*r**3 - r**3 + 5*r - 3*r - 3 + 7*r**3 - r to the form h*r**4 + a*r**2 + g*r + s*r**3 + v and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k + 17 = -43 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -0.4 (c) 2\/3777 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32.06 and -38.\nAnswer: -1218.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*n + 186 = 6*d, -3*d + 5*n + 1959 = 1923 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 291, -1\/218, -5?\nAnswer: -1\/218","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-219)\/(-45))\/((-38)\/(-23645)). Let s = j - 9254\/3. Let r = s + 113\/2. Which is bigger: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 811*k + 406.\nAnswer: -(k + 406)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8795 - 4134603.\nAnswer: -4125808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 375, -460, -2.\nAnswer: -460, -2, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -1.44\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + m - 1. Let k(s) = 7*s**2 - 2*s + 4. What is k(u) + 4*o(u)?\nAnswer: 3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 606554, 606469, 606382, 606293?\n\"Answer: -k**2 - 82*k + 606637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 323902539?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 252\/(-1680)*(-13)\/9 and -31\/126.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2313 + 2312.98. What is the closest to -0.18 in -5, c, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 5*z - 4. Let t be i(6). Suppose -283 + 61 = t*x. Let n = x + 551\/5. Which is the second smallest value? (a) n (b) 1\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 172\/593413 or -1?\nAnswer: 172\/593413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 37*o**2 - 37*o - 18. Suppose -34 - 52 = -k - 3*u, 5*u = 2*k - 139. Calculate the remainder when k is divided by a(38).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/289574 and 95\/315506.\nAnswer: 21138902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -16*a**3 + 5*a**2 - 3*a + 11. Determine q(-3).\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 8:44 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5212648 litres to millilitres.\nAnswer: 521.2648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -846*p**3 - 460*p**3 + 318*p**3 - 358*p**3 + 26*p**3.\nAnswer: -1320*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2831 - -2751. Let d = 1 - 3. Sort u, 3\/4, 0, d in ascending order.\nAnswer: u, d, 0, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 432*o**5 - 1316952*o**4 - 5936076*o**3 + 3187510*o**2 - 543444*o + 30530 = 0?\nAnswer: -5, 1\/6, 3053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210644 is divided by 795?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 164311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 6\/2)\/(-5). Suppose f + 2*f + 12 = 0, 2*s - 3*f - 16 = b. Suppose 1314 = 4*o + s*y, o + 988 = 4*o + y. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-738))\/(90\/135).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1188 + -1185. Solve z - t - o = 0, z + 4*t + 23 = 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/15 - 7\/(-3). Suppose y*p - h - 126 = 0, 4*p - 208 = -p + h. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7034128 to the nearest integer?\nAnswer: 2652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1000000110?\nAnswer: 1000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-30))\/((-8)\/(-10)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**5\/20 + 11*h**4\/12 + 3*h**3\/2 + h**2\/2 - 5*h. Let r be s(-10). Suppose -93 = -r*o + 8*o. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211.31121 + 783520.\nAnswer: 783731.31121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d - 2d?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1660, -3320, -4980, -6640?\n\"Answer: -1660*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106.57 + -0.43. Let x = r - -110. Put 2\/5, x, -0.2, -0.5 in ascending order.\nAnswer: -0.5, -0.2, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2 + 9*k + 48. Give n(7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, p: 5, s: 3, t: 1}. Give prob of sequence pt.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(1539) + -1 + sqrt(1539))**2.\nAnswer: -27704 + 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-149)\/(-1490))\/(2\/(-8))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2283845.\nAnswer: 5, 456769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(560) + 2*sqrt(560))\/(sqrt(40)\/(sqrt(16)\/sqrt(2))).\nAnswer: -72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - g**2 - g. Let o(j) = -3*j**3 - 4*j**2 - 2*j. Let c be (4\/(-6))\/(10\/(-30)). Suppose -c*k + 6 = -k. Let a = -5 + k. Calculate a*o(w) - 2*p(w).\nAnswer: -w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262*b + 29 + 269 = -1274. Solve u + 21 = -5*t, 2*u - b = 4*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 9:20 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4*9\/18*1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 4 - 1)*(4 - 4 + 2*l) + (-3*l + 0*l - l)*(-287 - 618 + 1323) as k*l + s and give k.\nAnswer: -1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -813 + 1205. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -3*m**7\/280 - m**6\/30 - m**5\/40 - 11*m**3\/3 - 4. Let n(i) be the third derivative of v(i). Factor n(r).\nAnswer: -3*r*(r + 1)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-117))\/((-12)\/9). Let a = 21\/130 + x. What is the common denominator of (14\/(-20))\/(2\/(-35)) and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 71445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-243*q - 62 + 491*q - 251*q)*(10*q**2 - q**3 - 10*q**2) to the form h*q**4 + i*q**3 + j*q + k + m*q**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/7 + 716*d**2\/7 + 7670*d\/7 + 12492\/7 = 0. Calculate d.\nAnswer: -347, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 546 - 374. Let m be y\/36 - 2\/(-9). Find the second derivative of -6*c**m - 10 - 3*c + 8*c + 10 wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522422?\nAnswer: 2, 23, 41, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122140738 is divided by 63?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmmvmqqrrrrmvmrmvmrr. What is prob of sequence qmrr?\nAnswer: 49\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 h when four letters picked without replacement from iiihhhhiiiiihhiwiii.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 21*j**3 - 11*j**2 - 11*j + 31. Let w(m) = 7*m**3 - 4*m**2 - 4*m + 11. Calculate 4*k(b) - 11*w(b).\nAnswer: 7*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 divided by 3681408?\nAnswer: -43\/920352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -298 by -4.\nAnswer: 149\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.14 - 0.2. Let v = 0.01 + k. Let i = v - -0.05. What is the closest to -2 in -2\/7, i, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/56)\/(2\/14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03703640184 and -0.7?\nAnswer: 0.66296359816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 112*x + 1962*x + 770*x - 427*x + 438*x in the form y*x + f and give y.\nAnswer: 2855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 15, -4 + 25 = 3*m - 2*i. Suppose -m*q + 3*j + 54 = 0, 0*j = j - 2. What is the least common multiple of q and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6 = 2*r. Let y be r*-3 + -2 + 111\/15. Which is bigger: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219617 to the power of 1\/2, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(16\/5)\/g**(-11)*(g\/(g*g*g*g**(-1\/4)))**22 assuming g is positive.\nAnswer: g**(-243\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-28) - -1) + ((-7)\/4 - 333889\/6524).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1073120171\/1826 + -587689. What is the common denominator of -143\/996 and m?\nAnswer: 10956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 114*u - 85*u - 290 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 9 = -s, -8*s + 6*s = -3*r + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70228 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7490956.2 rounded to the nearest 10000?\nAnswer: -7490000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Convert 200434022 (base 5) to base 7.\nAnswer: 6524046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from osavravr. Give prob of picking 1 o, 1 s, and 2 r.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -219948436 by 219948436.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 6. Let k be 8\/2 - ((-3740)\/(-198))\/17. Do k and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8903, -9156, -9573, -10148, -10875, -11748, -12761?\nAnswer: -13908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -342 + 3760\/11. Sort -5, -1\/11, 5, k in decreasing order.\nAnswer: 5, -1\/11, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 2)*(-3*q + 0*q + q) + 0*q + q - 2*q - 3*q + 0*q + q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14365*r**2 - 14343*r**2 + 28725*r**2.\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1361.789 - -1361. Let y = n - 0.071. Let x = y + -0.14. Put 4, x, -0.3 in descending order.\nAnswer: 4, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63282 + 63128 = 11*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 0)*(-1 - 1 + 1) - 1 + 0 + 5)*(-2*c**2 + 3*c**2 - 10*c**2).\nAnswer: -45*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 751507\/2 bigger than 375753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 440550495 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5544 (base 11) to base 8.\nAnswer: -16214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 + 0.1. Let n = -82960\/39 - -27610\/13. What is the second smallest value in n, c, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 4072308 = -91*n - 25*n. What are the prime factors of n?\nAnswer: 2, 3, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x - 3. Let s(i) = -i + 1. Suppose -4*j + 5*n = 33, -2*n + 18 = -2*j - 2*j. Let g(y) = j*z(y) - 9*s(y). Find the first derivative of g(q) wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q - 4. Let z(g) = -11*g + 9. Let c(h) = -9*v(h) - 4*z(h). Let y(f) = -f - 1. Let u be (-3)\/(-2)*(3 - 1). Let r = u - 5. Give r*c(l) + y(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - o - o - 2*o**4 - 3*o**2 + 4 - 5*o**2 as g*o**4 + l + t*o**2 + k*o**3 + i*o and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -j + 2. Let n be 0*j\/2 + 4. Suppose -290 = -n*u - 2*f, 2*u + 2*u = 3*f + 285. Calculate the greatest common divisor of u and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 11*k - 4 + 2*k - 9 + 12*k. List the prime factors of p(4).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204413?\nAnswer: 11, 18583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*sqrt(288) + sqrt(288))**2 + sqrt(288) - sqrt(288)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 12012?\nAnswer: -12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-3562)\/104) + (-2 - (-9)\/12).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (8343\/45 + 8)*5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 3*k + 2, -48*i = -53*i - k - 21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**5\/5 - 12488*b**4\/5 - 112266*b**3\/5 - 224396*b**2\/5 + 399232*b\/5 + 239424 = 0.\nAnswer: -6235, -4, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 701483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**8\/20160 + y**7\/720 + y**5\/30 - 2*y**2. Let m(l) be the third derivative of o(l). Calculate m(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 200\/31 (c) 38 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 90.52421 micrograms?\nAnswer: 0.00000009052421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1498 = -146. What are the prime factors of b\/9 + (-4)\/12?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -12 (b) -37 (c) -5 (d) -2\/7 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 21*l**2 - l + 1. Let x be y(-7). Let p = -4201\/4 + x. Calculate the common denominator of 93\/(-15)*15\/36 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 7) + (7 - 4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*z**4 + z**2 - 1588*z + 22798 wrt z.\nAnswer: -12*z**3 + 2*z - 1588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -54510103.\nAnswer: -3\/54510103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (90\/(-2))\/5 - (0 - 10). Which is greater: c or 3\/3043?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 + -0.39. Let h be ((-6)\/(-18) - 14\/33) + (-67)\/(-737). Which is the third smallest value? (a) h (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5541087 is divided by 278.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5398 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n + 19*n**2 - 6*n**2 - 16*n + 10*n**2.\nAnswer: 23*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13847?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155936?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) -0.2 (c) 5 (d) -4.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v - 10. Let r be a(-6). Let h be 2*-29*4\/r. Let u = 35 + h. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111518 is divided by 27879.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1342*z - 1346*z + 44 = 0. What is the remainder when z is divided by 5 - ((-4 - -1) + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a - 12196?\nAnswer: -12148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 12*l - 887. What is p(73)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -401 - -399. Let y(o) be the third derivative of -7*o**4\/12 - o**3\/3 + o**2. Is 26 a factor of y(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + -58 + -9 + 3 + 77?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75264 divided by -784.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m + 2*w = -6, 16 = 5*m - 4*w. Suppose -2*b + b = 0, m*b = -g + 324. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*m**(-2\/45)))**32\/((m\/m**10)\/(m*m*m**(1\/7)\/m*m*m)) assuming m is positive.\nAnswer: m**(-5807\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1595*p**2 + 1224*p?\nAnswer: -3190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (-64 - -60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4850 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 20, 0 = 2*w - 4*w + 5*k + 30. Let z(l) = 2. Let d(o) = -o + 1. Let g = -9 - -8. Let f(q) = g*z(q) + 2*d(q). What is f(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875192677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18300769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24720, 24503, 24286, 24069, 23852?\nAnswer: 23635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3143426?\nAnswer: 2, 11, 13, 29, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t - 3*w - 3 = 0, -5*w = -t + 1. Let y be (8\/t)\/((-10)\/(-15)). Suppose 5*m - 3*k - 44 = -2*k, y*k = -m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) -2\/17 (c) 104 (d) -0.05 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t\/(t*t*t**11*t))\/t)*t\/t**11*(t\/(t\/(t*t\/(t**0\/t))*t))**(-3\/2) assuming t is positive.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*sqrt(15)\/sqrt(5))**2.\nAnswer: -36*sqrt(3) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 34506368*f + 66638. Let r(y) = 3107*y + 6. What is -6*q(v) + 66638*r(v)?\nAnswer: 6058*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -427 - 61365?\nAnswer: -61803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5090273?\nAnswer: 41, 124153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i = -r + 21, 2*r - 9 = -i. Let h be 1\/2 - (i - (-2015)\/(-190)). Put 5\/6, h, 0.3 in increasing order.\nAnswer: h, 0.3, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 182\/19 (b) 0.072 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**8*f)\/((f*f\/((((f\/(f*f*f*f**(-2\/9)*f*f))\/f*f)\/f)\/f)*f)\/f))\/((f\/f**(3\/10))\/f*f*f**(-2)\/f))**(1\/18))**12 assuming f is positive.\nAnswer: f**(317\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -4 + -3 + -4 + 13 + 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((5\/(-10))\/1)\/(2\/20). Which is smaller: c or 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c68 (base 16) to base 9.\nAnswer: -16531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3025.7 + -3026. Which is the third smallest value? (a) y (b) 0 (c) 62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i - 226. Let t(d) = 2*d - 101. Let v(l) = 4*n(l) - 9*t(l). Let o(x) = -10*x. Give o(v(r)).\nAnswer: -60*r - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 304993345?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45701487?\nAnswer: 3, 13, 30047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -142374\/37 - -3848. Suppose 2 = -3*d + 8. Which is the smallest value? (a) 3 (b) d (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/14 + 14\/98. Solve h = -4*i + 5*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40344621?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, r: 1}. Give prob of sequence ri.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*n**3 - 59*n**3 - 3*n**5 + (1 - n - 1)*(6 - n**4 - 6).\nAnswer: -2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 56120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 - 0) + -1 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 w when three letters picked without replacement from sahgghagwhwswww.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1598, 1633, 1676, 1733, 1810, 1913, 2048?\n\"Answer: w**3 - 2*w**2 + 34*w + 1565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 167345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 112, 228, 346, 466, 588, 712, 838?\n\"Answer: h**2 + 113*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 6*o**3 - o**3)*(-2*o**2 + o**2 + 3*o**2 + (o - 5 + 5)*(6*o - 5*o + o) + 4*o**2 - o**2 - o**2 + 4*o**2 - 4*o**2 + o**2).\nAnswer: -35*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -297, -600, -903?\n\"Answer: -303*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*p**3 + p**2 - 1\/3*p**4 - 2\/3 - 1\/3*p.\nAnswer: -(p - 2)*(p - 1)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(0 + 6 - 4)*(-2*w**2 - 13*w**2 - 5*w**2).\nAnswer: 80*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**4 + 2841*d**3 - 671178*d**2 - 679716*d + 1348056 = 0. What is d?\nAnswer: -2, 1, 474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 275, -8, -19, 1, 5 in decreasing order.\nAnswer: 275, 5, 1, -1, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*a**3 - 43*a - 2 wrt a?\nAnswer: -258*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5659, 5661, 5663, 5665, 5667?\nAnswer: 5669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Let m(v) = -v**3 - 6*v**2 - 3*v - 16. Let r be m(-6). Suppose r*d - 7 = d. Solve k*c - 10 = -2*x, -4*x - x + d = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3877607*f + 1938700*f + 1938748*f.\nAnswer: -159*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 15*l**3 + 3*l**2 - 2*l. Let v be p(1). Find the second derivative of 0*y**3 + 40*y + 19*y**4 + v*y + 0*y**3 + 2*y**2 wrt y.\nAnswer: 228*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.87 - -0.07. Let c = -1.80000009 - q. What is c rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/6 + 4058*i**2 + 808425*i\/2 + 5758900\/3.\nAnswer: (i + 5)*(i + 95)*(i + 24248)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3228 and 247127610?\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*f**3 + 21*f**2 - 154*f**3 - 3*f**2 - 156*f**3 wrt f?\nAnswer: -2076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 219*g**2 + 13*g + 7. Let h(d) = -438*d**2 - 26*d - 11. Let x(i) = 2*h(i) + 5*r(i). What is the units digit of x(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znznzzzfn. Give prob of sequence nnf.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 16) to base 9.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1516*y = 1521*y - c + 47, 8*y + 2*c = -68 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/8 and 13\/2002215908?\nAnswer: 4004431816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -29. Let p(s) = 0*s**2 + 8*s - t + 2*s**2 + 13 + 5. Is p(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-18))\/((-18)\/(-21)*203\/261)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7185 + 13581 = 246*l for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 400, 1322, 3112, 6058, 10448, 16570?\nAnswer: 24712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 0. Let c be (-1)\/2*n\/(-4). Solve 16 = 2*l + c*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1902 + -1345. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133161 is divided by 162?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/353 + 345\/1412. Which is the closest to 0? (a) -0.5 (b) d (c) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 869 + 776 + 268 - 334 - 578*l wrt l.\nAnswer: -578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3620375 by -55.\nAnswer: 65825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41122212 (base 5) in base 4?\nAnswer: 1101100013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 7*o + 5*o - 19 = -12 - 47, -4*h - o + 29 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0303 plus -40722?\nAnswer: -40722.0303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3506907862.\nAnswer: 2, 19, 92287049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10*f + 24. Give m(8).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 6:12 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 12 + 9)*(-3 - 3 + 1)*(3*p + 2*p - p) to the form v*p + s and give v.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 19163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071062093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*c - 3*m - m, 10 = 2*c + 4*m. Let b = 5 - c. Suppose -b*o + 3 + 3 = 5*x, -o = 2*x. Is 0 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -108536971*i**3 - 257354?\nAnswer: -325610913*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64.99999398 - 65. What is v rounded to 7 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -25, 0.7, 0 in descending order.\nAnswer: 1, 0.7, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -390*z + 381. List the prime factors of q(-5).\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 17, 10, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.379266 + -551.\nAnswer: -551.379266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-27)*(u*u**0)\/(u**(2\/3)*u)*((u*u**(-3\/4)\/u)\/(u*u\/(u*u**(-4)*u)))**(-48) assuming u is positive.\nAnswer: u**(682\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 10. Let a be j(-5). Calculate the common denominator of -43\/38 and a*(-8)\/(-20)*97\/20.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21497148358 - -68.7.\nAnswer: -21497148289.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -233 in increasing order.\nAnswer: -233, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-273)\/9 - (-20)\/(-12))*-32 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -5*w + 32. Suppose -2*a + 0*a - w = 0. Let m = 45 - a. What is the remainder when m is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = k - 24. What are the prime factors of ((-6)\/(-8))\/(k\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from {j: 6, z: 9, c: 2}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1175*q - 6. Let v be m(25). Suppose -v = -16*u - 174969. Round u to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 212 + -209. Let p = 4 - 22. Let o be y\/p - 15\/18. Is -1\/4 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5*o - 7 = 0, 307*n + 17*o = 302*n + 16*o + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*p - 7*p - 9*p + 7*p + 266*p.\nAnswer: 343*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*y**5\/8 + 5*y**4 + 9*y**3 + 23*y**2\/4 + y\/8 - 3\/4.\nAnswer: (y + 1)**3*(y + 3)*(7*y - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*n + 9 = -38, 3*u - 2 = 5*n. Suppose -5*l = -2*l + u. Which is bigger: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163489230 less than or equal to 163489229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 - 65. Let l(k) = -k**3 - k + 3. Let d be l(r). Suppose -g + 2*w = 4, -d*g - 7 = -2*w - 3*w. What is the least common multiple of g and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3116?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**2 + 47510*u - 379760 = 0.\nAnswer: 8, 9494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 981 <= 1\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 5525208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a - 5. Suppose 3*g - x = -5*x - 35, -4*g + 3*x - 5 = 0. Is t(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44391051 - 1332126907\/30. Let v = s - -13174. What is the common denominator of 47\/6 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q - 20. Let p be b(6). Suppose 0 = 5*y + 3*y - p. Suppose -o - 18 = -5*c, y*c + 0*o - 2*o = 12. Solve -5*v + 2 + c = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/3 + 1243*u\/3.\nAnswer: -u*(u - 1243)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b - b - 19683. Let h = b - -80. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108232*u**3 + 404975*u**3 + 245831*u**3.\nAnswer: 759038*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 34 + 9 = 0. Suppose x + 3*h = y*x - 44, -x - 4 = 3*h. What is the tens digit of 42\/(-8)*x\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 50, 129, 210, 299, 402, 525, 674?\n\"Answer: t**3 - 5*t**2 + 87*t - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2404537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -214 + 191 + -7 + 4 + -44?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 431060381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*x + 301*x + 1188 - 1240 - 76*x + 290*x.\nAnswer: 399*x - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + (-16 - -8) - (-27 + 13)) + 60.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 418 - 134. List the prime factors of m.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 127186 and 6650.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(768)*2 - sqrt(768)).\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 22 = 8*s - 26*s - q, 18 = -s + 5*q for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78701*d**4 - 5*d**3 - d**2 - 24*d + 6382 wrt d?\nAnswer: 944412*d**2 - 30*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71136 and 1729.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 5*t - 2*w, -6 = t - 5*w + 3. Let l = 17 + t. Let x(c) = -4*c**2 + 2 + l*c**2 + 94*c - 92*c. Give x(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15603 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, -2, 0.146, -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 165.07?\nAnswer: -495.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24000619?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/24 and 115\/1686.\nAnswer: 6744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11581692*c**3*o*q**3 + 16*c**3 + c**2*q**3 + 91400*c*q**2 with respect to o.\nAnswer: 11581692*c**3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**8\/13440 - f**7\/5040 - f**4\/12 - f. Let a(g) be the third derivative of w(g). Factor a(s).\nAnswer: -s**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68625 or 68610?\nAnswer: 68625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 435837505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.132 + 23.032. What is r rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*m**2 - 11*m**2 - 9*m**2)*(-2*m + m - m) + 3*m**3 - m**3 - m**3 to v*m**2 + s + d*m + o*m**3 and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**5 - i**3 + 2312*i**2 + 55085*i?\nAnswer: 60*i**3 - 6*i + 4624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1780 and 12780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-48)*99\/6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -62325078?\nAnswer: -62325084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163*s**5 + 19*s**2 wrt s.\nAnswer: -9780*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 73.721, 2\/5, -5, -0.3, 1\/7 in descending order.\nAnswer: 73.721, 2\/5, 1\/7, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/8 and -21\/139.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78992526012 - -115.\nAnswer: -78992525897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -995.4 + 995.19924. Let i = p + 0.2. Round i to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - -19. Let c = -33.062 + m. Let g = 0.06200079 + c. What is g rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 16 = 4*v, 1 = 2*v + 4*g - 33. Let c be 8 + 1\/((-3)\/v). Solve 0 = 5*w - c*o, -3*w - o + 7 = 3*o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + 10*f**2 + 2*f**2 - 6*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116170 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -10*f. Let o(l) = -7212*l. Determine h(o(b)).\nAnswer: 72120*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-16)*-4 + 24 - 0. Let r be (-2)\/10 + 530\/a - 1. Let v(h) = -h**3 + 20*h**2 + 2. Let b be v(r). Solve 4*s = 4*g + 12, -3*g = b*s - 3 - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 4*d + 44, 3*d - 11 = -2*z + 1. Sort 5, 4, z, -5.\nAnswer: -5, 4, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - b - 17353, 3*j - b = 2*j - 5783. Round j to the nearest 100.\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 16 - 3*p**2 - p - 17 to the form d + i*p + v*p**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/39*80379\/(-4122)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-8)\/(-48)*1*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from llfllllllllfflflllll.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10*(204\/30 + -6). Let x be -1 + 0\/2 + -1. Let i be ((-3)\/x)\/((-6)\/(-256)). What is the highest common factor of i and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70594 smaller than -70594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 5:53 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 459 and 471 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -a979 (base 11) to base 2\nAnswer: -11100010010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -752\/19 - -3605\/57. Calculate the common denominator of n and 11\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*f + 228*f = 12338 - 3476. Suppose 28 = -s + 5*s. What is the greatest common factor of f and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/1299 and -101\/84.\nAnswer: 36372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4 - 11 = 0. Let q(m) = -m**o + 3*m**3 - 6*m**3 + m**3 + 2*m - 2*m**2. Let t = 422 - 425. Let l(g) = g**3 + g**2 - g. Calculate t*q(b) - 6*l(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42874731?\nAnswer: 3, 17, 29, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 2755 = -6*z. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 564 = -5*t. Suppose -2*f - f = -6, -3*y - t = -4*f. Let w = -40 - y. Solve 5*j - j = w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(6\/5)\/h**(2\/15))\/(h**(-5\/2)*h\/h**(-1\/20)) assuming h is positive.\nAnswer: h**(151\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7732 - -7730. What is the closest to c in -2\/11, -2\/7, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 5*o**2 - 5. Let q be (243\/(-45) + 6)\/(3\/45). Let y be (2 - 15\/10) + q\/2. Calculate h(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/2877, 3, 10, -2\/5?\nAnswer: 2\/2877","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2 = -22, -5*g + 2 = -2*d. Let i(h) = -4*h**2 - 3*h + 2. Let q(v) = -21*v**2 - 15*v + 9. Determine d*i(n) + 2*q(n).\nAnswer: 2*n**2 + 3*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43450 = -371*g - 498*g for g.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 18. Let c = 16 - a. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -156576*z + 113068.\nAnswer: -156576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 + -1.13. Let b = -7.9 + n. Let j = -8 - b. Which is greater: -2\/9 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c001 (base 14) in base 8?\nAnswer: 441321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11983\/5542 at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2882 times 28?\nAnswer: 80696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11857846841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -601*s**5\/12 + 705*s**2. Let g(h) = h. Determine q(g(a)).\nAnswer: -3005*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -120432310631 less than -2.423?\nAnswer: 120432310628.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0283 to two decimal places.\nAnswer: 2.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28044*d - 14672*d + 1 - 1 - 14881*d + (-3 - 2 + 6)*(-d - d + 0*d).\nAnswer: -57599*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -107)\/(6\/(-40)*(-12)\/(-121140)). Round w to the nearest 10000.\nAnswer: -7340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from {d: 3, x: 1, z: 1, m: 7}?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.23 - 0.77. What is the closest to a in -0.06, 4\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6796*w**4 - 42*w**2 + 3*w - 2?\nAnswer: 163104*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/80)\/((-6)\/(-4)). Let o = -2\/5 + x. What is the closest to -0.1 in 2\/7, 3\/8, o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**2 + 4*o + 13*o**2 - 14*o**2 + 18 + 8 - 2.\nAnswer: -7*o**2 + 4*o + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-286))\/((-684)\/60762).\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 7*s**6\/30 - 3*s**3\/2 + 22*s**2. Find the first derivative of o(c) wrt c.\nAnswer: 84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/551500 and -1\/110300?\nAnswer: 551500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 146196769 - 36?\nAnswer: 146196733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/192 and 143\/144.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(70)*-1*2)\/sqrt(10).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*n**5 + 151*n**4 - 151*n**4 - 61*n**5 + (2 - 2 - n**2)*(-2*n**3 + 0*n**3 + n**3) + 3*n**5 - n**3 + n**3.\nAnswer: -21*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1672 and 644556?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12056324597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**5 + 2*t**4*v**2 + t**4 + t**2*v**2 + 43*t**2 - 1 wrt t?\nAnswer: -60*t**2 + 48*t*v**2 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 821846\/17017 + -24\/2431. Let r = n - 6683\/140. What is the common denominator of r and 372\/(-80) + (0 - 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/1535 and -31\/7910?\nAnswer: 2428370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*a - 4, 3 = -a + 2*m + 1. Suppose a*k + k + 2 = -i, 2*k - 2*i + 8 = 0. Let h = -54 - -58. Sort h, 3, k.\nAnswer: k, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -67133, -67185, -67243, -67307, -67377, -67453?\n\"Answer: -3*w**2 - 43*w - 67087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (252\/(-108))\/(1\/3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1980)\/sqrt(5) + sqrt(11) + sqrt(704)*3)**2.\nAnswer: 10571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 306156 and 496.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 - 113*t**2 - 55*t + 86. Let g be i(57). What is the highest common divisor of 3975 and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from cvvccccvcccccv.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5103) - (4*sqrt(5103)*6 - sqrt(5103)) - sqrt(5103))\/(-4*(sqrt(1296)*4 - sqrt(1296))).\nAnswer: 23*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -231\/3168196 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -106 and 0.0228.\nAnswer: -105.9772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -11\/769519?\nAnswer: -11\/769519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 281*j - 43250. Give l(154).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6408)\/(-810) + -8)\/((-6)\/27). Which is the closest to -0.1? (a) 0.5 (b) f (c) 12 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 8 = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -1\/4157012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**4\/4 + 11*w**3\/3 + w**2 - 22*w - 50. Let r be s(11). Solve -3*c + 12 = -3*o, c = -3*o - r*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -25) + -41 + 23 + -30\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - g**2 - g**3 + 22 + 3*g**2 as t + a*g**2 + l*g**3 + c*g and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.329600555 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -162 + 172. Let c(v) be the third derivative of v**5\/60 - 3*v**4\/8 - 11*v**3\/6 + 3*v**2. What is c(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155222 (base 7) to base 3.\nAnswer: 1120000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (32 - -3) - -9.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10558 = r - 1946. Let x(n) = -n**3 + 16*n**2 + 2*n - 13. Let g be x(16). Suppose 7*o - g*o = -r. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*q - 4*q - 26*q + 74*q + 7*q + 9*q**2 + 7 to the form p*q**2 + u*q + x and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262, -266, -270, -274, -278, -282?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-81) + 4\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265448 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2 - 2816520*d - 1983196227600 = 0. Calculate d.\nAnswer: -1408260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(2\/15)*p*p))**(-42)*(p*p*p**(6\/7)*p*p)\/p**(-3\/11))**(-20) assuming p is positive.\nAnswer: p**(-128636\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -6 - -5) + -7 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 374534006 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2\/9, -26.5, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + g - 2. Let l(t) = -2*t + 4. Let x(r) = -4*h(r) - 2*l(r). Let k(j) be the second derivative of -j**5\/20 + j**4\/12 - 2*j. Give -4*k(c) + x(c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aavavvvaaaa. What is prob of sequence av?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, n: 2, v: 2, l: 1, i: 5, f: 1}. Give prob of picking 1 l and 1 n.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g - 1. Let v be w(6). Suppose -c - 20 = s - 2*s, 0 = -2*s - 4*c + 28. Let y = v + s. Calculate the greatest common factor of y and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 8. Let h = 18 - 11. Suppose n + 2 = h. Solve k*f = n*a - 30, 3*f - 2*a + 26 = 3*a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*r - 2*r - 1583, -r = 2*c - 814. Suppose -813 + r = -9*p. Which is bigger: p or 1\/46?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 2. Let h be t(5). Let n(i) = i**3 - 3*i**2 + 6*i - 6. What are the prime factors of n(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 623*z**2 - 24*z + 50. Is t(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26164990*u**2*x**3 - 6663*u*x**3 - 2*u*x**2 + 2*x**3 - 90*x**2 - 2*x wrt u.\nAnswer: 52329980*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61597*r**5 - 869*r**2 + 9*r wrt r.\nAnswer: 3695820*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (2 - (8 - 2)) + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/8)\/(10\/(-8)). Let k(w) = w**2 + 6*w - 2. Suppose 0*u + 2*u + 14 = 0. Let j be k(u). Sort s, j, 2\/9 in decreasing order.\nAnswer: j, s, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58866920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 430*g**5 - 1055*g**5 - 1129*g**5 - 222*g**5 - 5 - 1200*g**5 - 53*g**2 wrt g.\nAnswer: -190560*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2374*x + 288*x + 436*x - 1102*x.\nAnswer: -2752*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, -38, 0.11385 in ascending order.\nAnswer: -38, 0.11385, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -97, -87, -63, -19, 51?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 + (-13 - (-61 + 18)) + 77.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -2268?\nAnswer: -2269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 135881030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -5. Suppose -6*y + y = 2*z - i, 0 = 4*z. Let l(w) = 2*w**2. Let s(h) = -9*h**3 + 11*h**3 + 12*h**2 - 15*h**2 - 3*h**3. Give y*s(j) + 3*l(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.55, 5, -8, 0.26, -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 11 - 9*w + 5*w + w**2 + 2*w**2. Let z be v(6). Let y = 189 - z. Round y to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 - -5) + 9 + -3. Suppose -x*j - 122 = -2*g + 42, -4*g + 5*j = -323. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -472, -1078, -1926, -3016, -4348, -5922?\nAnswer: -7738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61716951887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 17*v**2 - 10*v**2 - 3*v**2 - v**2 + 0*v**2. Let x(w) be the third derivative of -2*w**4\/3 - 2*w**2. Calculate c(x(j)).\nAnswer: 768*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -803?\nAnswer: 160.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.17 - -21.6. Let y = 2.57 + t. What is the nearest to -3\/10 in 3\/5, 1, y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.7 times 4?\nAnswer: -146.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -138832 or 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -12. Let x(u) = -u**3 + 5*u**2 + u - 1. Let t be x(5). Solve t*q + z = 0, -q + 1 + 2 = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.6, -2\/11, 0, -3\/25, 1\/2, -13\/49?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (2*-1 - -4). Let q = 0 + r. Do q and 2\/25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - x + 1. Suppose -48*p = -44*p + 40. Let c(k) = 3*k**2 + 7*k - 5. Let h(d) = p*g(d) - 2*c(d). Let r(u) = 2*u**2. Calculate r(h(l)).\nAnswer: 32*l**4 - 64*l**3 + 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwwwwxwwwxwwwxwwxwx.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-8 + 29)) + 0 + (3 - 2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*i = -3*g + 187*i + 15, 45 = 9*g - 3*i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-16)\/20 + 597\/(-412). Let h = f - 1\/1030. Which is the closest to h? (a) 1 (b) -5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**3\/3 + 7*j**2\/2 - 5*j - 6. Let p be a(5). Solve -d + r = -3, -1 = p*d - 3*r - 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, -11, -18, -25, -32?\n\"Answer: -7*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*u + 363*u = 35 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 133059 (base 10) to base 15\nAnswer: 29659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*i + 688*i - 1628 = 1323*i for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17228298 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: Does 16 divide 9313536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 + 182*f**2 - 177*f - 190. Determine x(90).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 29171604705\nAnswer: -29171604706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1148 plus -93?\nAnswer: -1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62857, 58025, 44911, 19375, -22723, -85523, -173165?\nAnswer: -289789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n + 24 = 0. Let m = -2 + n. Solve 2*b = 4*a + 20, m*a + 0*b = -3*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 4*g - 28, -3*r = 5*g + 7 + 6. Let b(z) = z**3 + 13*z**2 - 9*z - 20. What is the units digit of b(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 3*h. Let j be m(-4). Let k(v) = v**3 + 66*v**2 + 411*v - 11. Let a be k(-7). Solve q = j*s - a, -q - 3*s + 8 = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 4312929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 114678354 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1275, -1292, -1315, -1344, -1379?\n\"Answer: -3*m**2 - 8*m - 1264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/9894 and 71\/582.\nAnswer: 9894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - m**2 + 21*m + 90. What is l(-8)?\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -15. Solve -5*m = -z*m - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, r: 2, i: 1, y: 7, s: 1}. Give prob of picking 2 r.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 7997002?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1372*k**2\/15 + 272062*k\/5 - 91872.\nAnswer: 2*(7*k + 4176)*(98*k - 165)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 66046.42 to the nearest 1000.\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 861*o + 805*o - 1594*o.\nAnswer: 72*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*j + 2. Let f be 90\/10 - (-10)\/2. Let k(v) = -3*v + 4*v**3 + 7 - 6*v + f*v - 3*v. Let m(c) = c**3 + 1. What is j*k(g) - 6*m(g)?\nAnswer: -2*g**3 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 856707199 to the nearest integer?\nAnswer: 29270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/252*6)\/(2\/1092*18). Which is the nearest to 0.1? (a) 3\/4 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.184 and 0.14?\nAnswer: -0.02576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -26*v - 312. Let j(n) = 2. Give -156*j(l) - u(l).\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.5 - -2. Let k = 1678 - 1674. Which is the closest to -1? (a) k (b) x (c) 0.06 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91397 plus 0?\nAnswer: -91397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2 - 0.8. Let c = j - -7. Let o = c - 4. Is -0.03 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 - 88. What is the highest common divisor of 11 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 15 = 1. Suppose 61 = 3*b - s. Suppose b = -3*h + 104. Calculate the highest common divisor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 0*s - 1\/2*s**3 + 7*s**2 - 1\/30*s**5 + 0 - 1\/12*s**4. Let a = -158 - -156. Calculate l(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*p = -301, 3*p = 1 + 2. Let n(v) = -v**2 - 22*v - 36. Let z be n(-20). Suppose z*f - t = 214. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55636 = -3302*i + 1179*i - 5825*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -13, -31, -49, -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1259999.\nAnswer: 13, 103, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 20. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12560000 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 20 = 7*o. Which is the nearest to 0.1? (a) o (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1335 by 267.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-114)\/(-30) - 4) + 44\/(-80). What is the nearest to -0.18 in g, 0.5, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179.52081943 + 188.5208189. Let h = f - 9. What is h rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -35.3. Let q = j + -0.3. Put q, -2\/13, -1 in decreasing order.\nAnswer: q, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/19)\/a**(2\/3))\/(a**(-2\/23)*a**(7\/5)) assuming a is positive.\nAnswer: a**(-13322\/6555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3508 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 94. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -57, -118, -185, -258, -337, -422, -513?\n\"Answer: -3*i**2 - 52*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 12. Let n = t - -12. Suppose -5*o + g = -0*g - 58, 0 = 4*o + 5*g - 29. What is the remainder when o is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z - 2 + 13 + 2 as s*z + n and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i = 7*i + 2*v + 24, -3*i + 24 = -3*v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60208623 and 411?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u + 1. Let j be h(1). Let m be (4 - (-3)\/1) + j. Let v = 12 - m. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 44 - 29 = -5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1189922 or -1189971?\nAnswer: -1189971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 109 = 3*f - 6*r, -52*f - 10*r = 31*f - 12*r + 45 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30413557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 8:59 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d = 5. Suppose -o - i = -17, -d*i - 44 = -4*o - i. Calculate the least common multiple of o and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 439753206 + -11.\nAnswer: 439753195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -19. Let v = 61 - 62. Let w = v + 3. Which is the nearest to 0? (a) g (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**5\/20 - c**4 + 13*c**3\/6 - 8*c**2 + 2*c - 20. Give o(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7bc2d + 4?\nAnswer: -7bc29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 313*m - 200*m**3 - 3*m**5 + 335*m + 150*m wrt m?\nAnswer: -60*m**3 - 1200*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*(f*f**(3\/4))\/f*f*f*f*f**(-3))**(1\/10) assuming f is positive.\nAnswer: f**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -8 in ascending order.\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**4*o**2 + 2*g**4 + 15*g*o + 4222*o**2 wrt g?\nAnswer: -8*g**3*o**2 + 8*g**3 + 15*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144, -5, -382, -1095, -2252, -3961?\nAnswer: -6330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2124*6192\nAnswer: -1315.1808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 8:01 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 1, 0.01, 5, -2, 2 in descending order.\nAnswer: 5, 2, 6\/5, 1, 0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(17)))**2 - (sqrt(85)*-1)\/sqrt(5) - (sqrt(1088) - ((sqrt(1088) - (sqrt(1088) + sqrt(1088)*-3))*5)**2)*2.\nAnswer: -87*sqrt(17) + 490248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -3\/8 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 6 = 4*k - 31, 5*k = -2*u + 26. Suppose 0 = 3*c + 5*i - 10, 2*c + u*i = 5*i - 4. Is -1 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 15*j + 5. Let n(h) = -h**2 - 5*h - 7. Let v be n(-5). Let s(i) = -14*i - 4. Let g(q) = v*s(q) - 6*d(q). Differentiate g(w) with respect to w.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.17 - -31.17. Let b = 0 - 0. Let o = 0.995 + 0.005. What is the nearest to b in o, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/6*12\/8. Let l be 1\/4 - 1\/f. Suppose l*v - 6 = -2*v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1570 - -1736.75. Let s = -167 + j. Do s and -9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -136 (b) 12\/217 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 3*f**2 + 1. Let t be z(-3). Let r be t*((-10)\/(-12) - 1). Is r at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25042 is divided by 49?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**3 - 269*q**2 - 577*q - 34173. Calculate r(-67).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1003836, -1003776, -1003716, -1003656, -1003596?\n\"Answer: 60*h - 1003896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -197 in 2\/5, 2, 15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.78 take away -42.18?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 10, -3*i + 3*s - 5*s + 5 = 0. Solve -3*p = -i*q - 0*q - 3, 16 = 2*q + 4*p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.4 + -4. Let k = x - 0.3. Let u = 29 + -29.2. What is the smallest value in -0.4, u, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -10. Let w = s - 3. Suppose 60 = -w*r + 7*r. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -10*g - 6. Let c(s) = 10*s + 4. Give -3*c(o) - 4*t(o).\nAnswer: 10*o + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.8 - -2. Let f = k - 0.7. Let g = 23259.7 + -23259.3. Which is the closest to -2\/9? (a) f (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 158.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 5*b**4\/4 - 2*b**3\/3 + b**2 - b - 11. Let k be w(1). Suppose 2*f = -4*z - 1 - 7, 0 = k*f + 3*z - 4. Is 16\/3 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**4 - 2 + 171*d + 7405*d**2 - 7417*d**2 + 1 to the form p*d + b*d**3 + n + v*d**4 + q*d**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 14*g**2 + 43*g + 10. Let c be t(9). Let i be ((-4)\/c)\/(-1 - 18\/(-16)). Solve -7*h + 6 = -i*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 9:36 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s. Let l(j) be the first derivative of -1\/3*j**3 + 27 + 0*j**2 + 0*j. Give g(l(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1455025 is divided by 634?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = -4*q + 29. Suppose -3*g + g = -q. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/(-70))\/(-1 + 12\/10). What is k in -4 - 6*k**n - 5*k**2 + 6*k**2 + 4*k + 4*k**2 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.01 (b) -1\/9 (c) -23\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4))**42\/(i**4\/i*i*i\/i**1)*(i**(-2\/9)*i**(-3\/8))\/(i\/i**(-2\/7))**(-36) assuming i is positive.\nAnswer: i**(15719\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -38634846, -38634844, -38634842?\n\"Answer: 2*r - 38634848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 18*w. List the prime factors of j(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((1*sqrt(1300) - sqrt(1300))*-6 + sqrt(1300) + sqrt(1300)*4*1))**2.\nAnswer: 292500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/5, -8, 11, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from {n: 2, l: 1, h: 5, s: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 141*s - 2. Let a(u) = 93*u. What is d(a(g))?\nAnswer: 13113*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94887198 and 10?\nAnswer: 474435990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1.8441558 hours?\nAnswer: 0.076839825","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -748 + 1293. List the prime factors of s.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19735.2, -0.2, 0.5, -4\/3.\nAnswer: -19735.2, -4\/3, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -183*i**3 - i**2 - 2. Let a(u) = -547*u**3 - 2*u**2 - 7. Calculate 2*a(j) - 7*y(j).\nAnswer: 187*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1392 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**2 + 256164*p = 0. Calculate p.\nAnswer: 0, 64041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(2 - 1 - 3\/6). Sort -4, -5, z, 5.\nAnswer: -5, -4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1106\/5 - -6661\/30. Sort 0, s, -2, 4.\nAnswer: -2, 0, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-30) - ((-6)\/(-4))\/((-3150)\/(-3920))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.6*1290.595.\nAnswer: 5936.737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/6 + (-4)\/6. Let x = 2 + -1. Which is the nearest to q? (a) x (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 56, 104, 190, 326, 524, 796?\nAnswer: 1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/11 + 1960560*g**3\/11 - 11763432*g**2\/11 + 64*g\/11 + 62738304\/11 = 0.\nAnswer: -980286, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1182.2 + 295.349?\nAnswer: -886.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2163533 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 56*t**2 - 8*t - 56. What are the prime factors of d(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 1. Suppose -29 = -y*k + 1. Suppose -k*u = -5*z - 35, -3*u + 0*z - 2*z = -6. Solve 2*o = 0, -2*i = -u*o + 4 + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 661 divide 5287339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 8 = -2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2327, 2329, 2345, 2381, 2443?\nAnswer: 2537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -63\/4. Is -1 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Suppose 0 = -w*d + d + 4*g - 19, 2*d - 32 = -5*g. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2. Let c(s) = s**2 + 11*s + 11. Let u(h) = h + 1. Let k(t) = 2*c(t) - 22*u(t). Calculate k(l(q)).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, r: 1, j: 3, y: 2, z: 7, e: 5}. What is prob of picking 3 e?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5114, 510, 0 in decreasing order.\nAnswer: 5114, 510, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j*(j*j**4)\/j*j)*j*j**(-15)\/j assuming j is positive.\nAnswer: j**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(4 - (24\/9 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/20*25\/10. Solve -a + 4 = g*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 7 = -2*c, -11*c - 3 = r - 12*c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 746523263 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.07, -0.3, 149\/2, 0.5, 2\/5, 414?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 166948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8, 3, -6, -19, -36, -57?\n\"Answer: -2*c**2 + c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owrzrrrgworwgzrotr. What is prob of picking 2 w and 2 r?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -18*o - 17. Let r(d) = -16*d - 15. Let b(t) = -7*i(t) + 8*r(t). Suppose -6*g = -2*g - 3*n - 30, -20 = -4*g - 2*n. Calculate b(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(14)\/sqrt(7) + -3)*-2 + sqrt(14)\/(sqrt(567) - sqrt(7) - sqrt(7)) + sqrt(2) + sqrt(2)*2 + -4)**2.\nAnswer: -48*sqrt(2)\/7 + 569\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 104 = -2*o, -47204*q - 4*o - 223 = -47203*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 2*o**2 + 3*o + 8. Give q(4).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4 - 0 - (-78)\/18). Suppose -w*l + 480 = l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*t - 12*t - 204. Let y(o) = -t*o + 216 - 110 - 106. Let m(n) = 1 - 1 - 2*n**2. Calculate m(y(p)).\nAnswer: -288*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, m: 5, u: 1, y: 1, r: 1}. Give prob of sequence hymu.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 29. Let v = -16 - t. What is the second biggest value in v, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -167 (c) 87 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3 = -7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.7573 rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssbssssssssbss. Give prob of picking 1 b and 1 s.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 10\/9 (b) 1\/9 (c) 414 (d) 106 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -77398 times -380\nAnswer: 29411240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 429 - 0?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*b - 8*b + 9*b + 2 + b - 2 - 2*b + 2*b + 2*b + (-1 + 2 - 2)*(-5*b - 2*b + 5*b) - 4*b + 0*b + 3*b - 3 + 3 + b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12257.3 and -4.\nAnswer: 12253.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/(-130)*5\/8\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/42 and -97\/162.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {h: 2, q: 9, x: 8, m: 1}?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 3, 1.4, -0.02?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.84 + -0.16. Let c = u - -3. What is the biggest value in c, 0.05, -5\/4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -622*g**2 + 54*g**2 - 3121*g**2.\nAnswer: -3689*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*x**2 - 11*x**2 + 18*x**2)*((0 + 0 + x)*(1 - 1 - 2*x) - 243*x + 103*x**2 + 243*x) to s + k*x**3 + d*x**4 + c*x + u*x**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1412, -1408, -1394, -1364, -1312?\n\"Answer: i**3 - i**2 - 1412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21537*c - 1944 = -21555*c. Solve 5*u + c = 118 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31635702 (base 8) to base 11\nAnswer: 3901030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1001 divided by 17\nAnswer: 1001\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.18 + -0.4. Let b = -4.58 + k. Round b to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2, 1, -2\/9, 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 + 2*p - 3. Let l(i) = i**3 - 11*i**2 + 8*i + 29. Let t be (1 - 44\/32) + 249\/24. What is the remainder when k(2) is divided by l(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -188, -739, -1658, -2945, -4600, -6623?\n\"Answer: -184*b**2 + b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**2\/9 + 270260*l\/3 + 18260116900 = 0?\nAnswer: -405390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r = 3*o - 89, o = -2. Suppose -2*c = -r + 17. Suppose 9*i - 4*i - 100 = 0. What is the remainder when c is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l - l - 4*l)*(-9*l**2 - 2*l + 0*l**2 - 5*l**2) + (l - 2 + 2)*(0*l**2 + l**2 - 4*l**2) to the form a*l**3 + z*l + c*l**2 + v and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**5\/t**(-4)*t\/(t*(t*t\/(t\/t**4*t)*t)\/t)*t*(t**1*t*t)\/t assuming t is positive.\nAnswer: t**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 4*b - 16 = 0, 20 = -30*b + 25*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - g - 4. Determine x(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120011 (base 3) in base 4?\nAnswer: 101302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 11. Let z(g) = -21*g**2 + 88*g - 11. Let q be z(4). Give h(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 131371*n - 4729372. Give w(36).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1875, 1880, 1885?\nAnswer: 1890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6*-2 + 2. Let c be (g*2)\/((-7)\/(-14)). Find the common denominator of (-5)\/(-9) - 2\/c and 49\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2289 and 10943772?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-8)*-4*175\/75.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-20))\/(4\/(40*1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 p when three letters picked without replacement from phplppplpplpphpppp.\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 10 + 5 = 0. Let w(y) = -3*y**2 + y**2 + 10*y - 2 - 11*y. Let o(z) = -z**3 + 5*z**2 + 2*z + 5. Calculate c*w(u) + 2*o(u).\nAnswer: -2*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94*g**3 - 1587*g**2 + 1583*g**2 + 27*g**3 + 21*g**3 + 6*g wrt g.\nAnswer: 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 697138.6 micrograms to milligrams.\nAnswer: 697.1386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 91 - 47 = 2*f, -5*f = 15. What is the remainder when b is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - -7) + -3 - -493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*4 - 0. Let m(h) = h**3 - 7*h**2 + h + 16. Let u be m(4). Let i be ((-220)\/88)\/(2\/u). Solve 30 = v*w - 4*c, 2*c + i = -2*w + 7*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -584 - -708. Suppose -24*v + 264 = -2*v. What is the highest common divisor of v and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 21*d**3 - 12*d**2 - 12. Let b(o) = -o**3 + o**2 + 1. Calculate -12*b(t) - f(t).\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -0.11\nAnswer: 0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 38*h**2 + 37*h + 75. Let b be c(39). Sort 14, 1, -1, b, 5 in descending order.\nAnswer: 14, 5, 1, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3512.8052 rounded to the nearest ten?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}