{"text":"Question: What is the highest common factor of 512 and 1696?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-680)\/(-240) - 1\/(-6). Solve k*j = 2*j - 3*y, 3*j - 2*y = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jqmjjjvggvmv. Give prob of sequence vjjv.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5.15 + -9.04. Let w = v - -7.88. Let k = w + 0.01. Which is the biggest value?  (a) -1\/2  (b) 1  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1051\/5 + -211. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1c1066 (base 14) to base 12.\nAnswer: -4037aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -30*k**2 + 8*k + 300. What is l(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + -4)**2*-1 + -1*(sqrt(2) + sqrt(2) + -3)**2 - ((0 + sqrt(18))*5 + sqrt(18) + 4)**2.\nAnswer: -699 - 124*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 1151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118268*k - 3*m = 118265*k - 6*m - 156, 369 = -2*k - 7*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -117657*d + 1882494. Determine q(16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 3 = 2*i + 29, 2*v = 3*i + 36. Suppose -3*n - 2*m - 13 = -2*n, 0 = -5*n - 5*m - 45. Let l = n - i. Solve l*u + 2 + 8 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 - 12*q - 181. Determine z(16).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m + 22. Let b be n(-17). Let w = -4168 - -4169. Solve -2*z + w = -b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v + 2*v + 16 = 0. Suppose 3*u = z - 40, 4*z - 98 = v*u + 30. Suppose -3*g = 15, -3*o - 5*g = -844 - z. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**0)**(1\/13)\/(v**(-3)*v**(-6\/5))*((v**(-1\/3))**(-4\/9))**(-47) assuming v is positive.\nAnswer: v**(-373\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/(-27) - 58\/18. Let m(a) = -3*a**3 - a. Let y be m(1). Let c = 2 + y. Which is bigger: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96*n - 1129 = 946 - 721 + 1622 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 6 - 16. Let k(y) be the second derivative of -y**3\/3 + y**2\/2 - 4*y. What are the prime factors of k(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -9 + 49. Let h = 39 + z. Calculate the greatest common factor of h and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**2 - 2*n - 1. Let m(s) = -5*s**2 - 11*s - 6. Let f be (-1)\/(-2) - (-23)\/(-2). Let d(t) = f*b(t) + 2*m(t). Differentiate d(g) with respect to g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -509 + 503. What is the nearest to 0.1 in z, -1, 7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, 24, 104, -5, -6, -17 in decreasing order.\nAnswer: 104, 24, 2, -2, -5, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -971*p - 1300. List the prime factors of m(-13).\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2201, -126, 3333, 8176, 14403?\n\"Answer: 692*u**2 - u - 2892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a. Let k be i(-1). Suppose -4*q = q + k*b + 624, -3*q - 4*b - 380 = 0. Let c = q + 206. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 3 g when four letters picked without replacement from kikgggffgkkgikfgg?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1519, 1484, 1447, 1408, 1367, 1324, 1279?\nAnswer: 1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -25?  (a) -0.2  (b) 1\/4  (c) 4.697  (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 109668026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -448*f + 209*f + 200*f = 390 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -88.98 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gmqxvmmqxxqqgmmx. What is prob of picking 3 x?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 plus 23.06?\nAnswer: 23.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 38\/161991 and 107\/90.\nAnswer: 1619910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 466, 52, -1\/9 in descending order.\nAnswer: 466, 52, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17083130*b**3 - 8576*b**2 + 6*b wrt b?\nAnswer: -102498780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 4*t**3 + 107*t**2 - 7*t + 350. Calculate l(-27).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -235 + 621. What are the prime factors of d?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 5*j - 13 = 0, -2 - 1 = 3*v + 3*j. Let u be 1 + -6*(2 + 8\/v). Solve x - 3 = -u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1546 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/4*(-4 - 18). Suppose -k = -2*n + 7. Solve n = -3*h, 7 = -5*c + h - 0*h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 18 - 17. Which is the nearest to 1\/4?  (a) 0.1  (b) d  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -210, -863, -1956, -3489?\nAnswer: -5462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f**4 + 36*f**3 + 72*f**2 - 16*f - 96 = 0. Calculate f.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:08 AM and 2:03 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 11  (b) 2\/9  (c) -5  (d) -1  (e) -66\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -410*w**2 + 2970*w + 30505. Let g(y) = -5*y**2 + 36*y + 372. What is -165*g(b) + 2*u(b)?\nAnswer: 5*b**2 - 370","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -66*h**2 + 23*h**2 + 26*h**2. Let v(r) = r**2. Calculate v(o(k)).\nAnswer: 289*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/5)\/k**(-1\/2))\/((k\/((k**(-2\/15)\/k)\/k))\/k)**(5\/4) assuming k is positive.\nAnswer: k**(-59\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 96393550 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -480*h = -477*h + 27 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - (-4 - -6)) + 9 + 0 + 0 + -92.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3073744 - -43?\nAnswer: 3073787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -563.4 + 1131.6. Let j = w + -568. Which is the closest to -206?  (a) -0.2  (b) 1  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/138)\/((-75)\/50)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -2746*l + 21174. Calculate x(8).\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 7 + 431*t**3 + 1.\nAnswer: 431*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3465)\/720)\/77*176.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 4*t - 24 = 0, 2*t = -2*t + 16. Let x be j\/(-3)*-3 + 6. Suppose -5*f = -3*f - 8. Solve -3*i + 2*z + x = -2*i, f*z = -3*i + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -3*c + 4204, -c - 4*h = -395 - 995. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -2*i + 8. Give p(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -23 and -2.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 146\/(-18) + -58 + (-495)\/255*-34?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -2395542*t. Let l(v) = 9*v. Calculate q(l(u)).\nAnswer: -21559878*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, -4, -2 in descending order.\nAnswer: -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 3*c - 29, t + 4*c + 3 = 2. Suppose 0 = -2*q + 13 - t. Suppose 5*h + 106 = q*b + 4*h, 5*b - 3*h - 182 = 0. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31375 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 3 = -y + 16, 0 = 3*y + 2*w - 11. Let a = 1 + y. Suppose -2*i - 5*c - 10 = -i, 3*i - 9 = -a*c. What is the lowest common multiple of i and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 1.8, 0, -6, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13030 - 10?\nAnswer: 13020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 118*a. Let h(g) = -3*g - 66. Determine t(h(b)).\nAnswer: -354*b - 7788","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 73 divide 80957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 225578849.\nAnswer: 19, 29, 113, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the third derivative of q**5\/60 - 157*q**3\/3 - q**2 - 1359. Let p(l) = -2*l**2. What is y(p(h))?\nAnswer: 4*h**4 - 314","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, l: 1, m: 2, r: 1, a: 1, u: 1}. What is prob of sequence lamy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + a**2 - 1 + 2 - 10*a + 5 in the form i + k*a**2 + d*a and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 585 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 3) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*sqrt(324)*-1*3*-1)\/(2*-2*sqrt(12)*5*2))**2.\nAnswer: 2187\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (1*-1 + (-10)\/(-18))\/((-1764)\/(-1323))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20 + 2*h**2 - 20*h**3 + 21*h**3 - h + 2*h + 0*h**2 to the form o*h + y + p*h**3 + c*h**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/(-6)*-1)\/(12*1\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 140110 + -3102?\nAnswer: 133004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-45) - (-1 - 33\/(-27))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of 0 + 0*i**3 - 22*i - 1\/6*i**4 + 0*i**2. Let t(k) = 11*k**2. Calculate t(l(p)).\nAnswer: 44*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -601 + 601 = 7*g. What is l in -2\/3*l**2 + g - 2*l = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2  (b) -289  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 3*y + 25, 2*i - 5*i - 50 = 4*y. Let j = -191\/5 - -188\/5. What is the third biggest value in i, -2\/5, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -272*j*u**3 - 3*j*u**2 - 19*j*u - 26*j + 39*u**6 + 3*u wrt u.\nAnswer: -1632*j + 4680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 169*t**2. Let b(c) = -14*c**2. Give b(j(p)).\nAnswer: -399854*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 117\/(-260)*(8\/(-12))\/((-6)\/15)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n**5\/2 + 669*n**4\/2 - 675*n**3\/2 - 669*n**2\/2 + 336*n = 0. Calculate n.\nAnswer: -224, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 39\/(-15)*-5 + -15. Let f(j) = j**3 - 2*j**2 - 1. Let u(b) = -5*b**3 + 1 + 2*b**3 + b**2 + 2*b**3. Give d*u(l) - f(l).\nAnswer: l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1970501176 a multiple of 8186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(209) + (sqrt(209) - -1*sqrt(209)) + sqrt(209))*5 - sqrt(209))\/(sqrt(11)*-2*6).\nAnswer: -19*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31007*z - 1199*z**2 - 31007*z.\nAnswer: -1199*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -3*g**3 - 8*g**2 - 8*g + 6. Let b(m) be the second derivative of m**5\/20 + m**4\/12 + m**3\/6 - m**2\/2 - 159*m. Give 6*b(y) + w(y).\nAnswer: 3*y**3 - 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11.36 + -11.29. Which is the second biggest value?  (a) 3\/4  (b) k  (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*i - 95 = -4967. Let t be (48\/15)\/(i\/35 - -2). Let b(q) = q**3 + 6*q**2 - q - 6. Let k be b(-6). Is t >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3362 - -3360. Sort -3, i, 27, 2 in descending order.\nAnswer: 27, 2, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/55 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of 40*x**2 - 7\/8*x**4 + 0 + 0*x**3 + 0*x. Let u(z) = 10*z - 17*z + 8*z. What is u(o(c))?\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a + 2 - 2)*(3*a**2 - 5*a**2 + 0*a**2) - 305*a**3 - 4 - 10 + 14.\nAnswer: -303*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*f + 367 = r + 104, 5*r - 3*r = r + 12*f - 265 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2671203.\nAnswer: 3, 43, 20707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 2884, 16, -52 in decreasing order.\nAnswer: 2884, 16, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes after 12:08 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -4*m + 5*m + 11, 4*x = 8. Calculate the remainder when 67 is divided by 75\/5 + (m - 8\/(-4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*m*n**3 - m*n + 177*m - 39*n**3 + 42*n wrt m.\nAnswer: -2*n**3 - n + 177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.47 - 5.38. Let x = -1.910000248 - t. Round x to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1811 is divided by 531?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from esmmuxc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4358, 17440, 39246, 69776?\n\"Answer: 4362*z**2 - 4*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/(-12)*4\/24*-4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -12e - 39?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -239.4 - -282. Let j = f - 42.58. Which is the third biggest value?  (a) -1\/8  (b) j  (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and -0.145.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -2*b**2 - 3*b + 2. Let c be l(-2). Let g(i) = -i**3 - i + 449. Is g(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 15 - 2 + 8*z - 201*z**2 + 203*z**2 in the form y*z**2 + b + x*z and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 33 = -v - 82, -3*l + 2*v = -143. Let j = l + -31. What is the highest common factor of 56 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7.1326 * 111\nAnswer: 791.7186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -3745700 rounded to the nearest 100000?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -7\/6  (b) -0.1  (c) -1\/2  (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 138. Let w be ((-75)\/(-20))\/((-2)\/(-8)). Calculate the greatest common divisor of w and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = l - 2, 48*l - 46*l = 7*c + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*b + 0*b - 2*b)*(0*b - b - b) + (0*b**2 + b**2 + b**2)*(0 + 1 + 0) + (-b**2 + 4*b**2 - b**2)*(1 - 3 + 0) + b**2 - 2 + 2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -208730 divided by -5\nAnswer: 41746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6129 + 6019.68. Let c = -109 - j. Round c to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1591 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000867732 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 m when two letters picked without replacement from guumggqgggggug.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 6615\/(-35721)*1236\/(-10) + -22\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 7*g**3 + 2*g**2 - 3*g + 2. Let a be l(2). Solve 0 = d + 59 - a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -47 + -1b?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22567805?\nAnswer: 5, 13, 347197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 3, p: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 25904709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**3 + 2*z**2 + 4*z - 4. Let v be l(2). Suppose 4*c = 3*f - 55, f + 44 = -2*c - 3*f. Let i = v - c. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 50*o - 2. Is g(1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -29 - -32. Suppose -3438 = -o*j + 3021. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 17*x**2 + 1. Suppose -a = -25 + 7. Calculate the lowest common multiple of a and j(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**3 + 10*u**2 + 12*u - 8. Let c be m(11). Suppose 2*v + c = v. Sort 2, v, -2, 9.\nAnswer: v, -2, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -13 + 0 - (21 - 45 - -36)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -15526080000 to the nearest 1000000.\nAnswer: -15526000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 906 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 22 - 19. Suppose -u*z - 2 = -5. Let y be z\/(112\/36 + -3). Solve -3*c = -0 - y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 50*i + 969*i + 2374*i - 258*i in the form r*i + a and give r.\nAnswer: 3135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.066 + 0.06599903. Round j to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -u**3 - 18314*u**2 - 54935*u - 36622 = 0.\nAnswer: -18311, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1)\/m*m*m**(-2\/27))\/(m**(1\/4)*m**(-6)) assuming m is positive.\nAnswer: m**(505\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j - 9*j + 0*j**3 + 3 + j**3 + 8*j + 3*j**2 - 7*j. What is c(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the third derivative of -w**4\/24 - w**3\/6 - 8*w**2. Let i(n) = -2*n - 7. Calculate i(g) - 6*v(g).\nAnswer: 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3100.032 decades to millennia.\nAnswer: 31.00032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 15, 3*p - 2*o - o = 111. What is the common denominator of p and -89\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 796279.\nAnswer: 11, 191, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express i**2 + 104*i**3 - 17*i**3 + 1553823*i**4 + 11*i**3 - 1553821*i**4 - 2 as g*i**4 + n*i**2 + d + t*i**3 + k*i and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*s + 2*s - c + 26, 4*c = 2*s - 28. Solve -4*p + 8 = -s*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -2*h**2 + 7*h + 7. Let m(q) = q**2 - 2*q - 2. Let c(k) = -7*m(k) - 2*z(k). Let j(x) be the first derivative of -7*x**2\/2 + 5. Give c(j(d)).\nAnswer: -147*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4096326.63500495 + -4096327. Let h = 0.365 + c. Round h to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-180)\/(-35)*-5*63. Round g to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the first derivative of 1\/2*l**2 - 2\/3*l**3 + 1 + 0*l. Calculate o(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 4*g**2 - 29*g - 111. Let k(a) = 2*a**2 - 14*a - 55. Let f(x) = -3*b(x) + 5*k(x). What is the remainder when 134 is divided by f(10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1939 (base 10) to base 6.\nAnswer: 12551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -z + 8*z - 38*z + (1 + 1 - 1)*(-2*z + 3*z + 0*z) + 2*z + 2*z - z + (-5 - 24 - 1)*(2 + 2*z - 2) as s + y*z and give y.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-950)\/20*(-8)\/(-10). Let x be (-1)\/(4*-1) + c\/(-8). What are the prime factors of (x\/((-5)\/(-278)))\/2?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**2. Let h(c) = -279*c**2. Give h(q(a)).\nAnswer: -279*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -625149734.7 to the nearest one million.\nAnswer: -625000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 46, 156, 334, 580?\n\"Answer: 34*t**2 + 8*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4\/41375 + 37527157\/331000. Let n = -467\/4 + a. What is the common denominator of n and 43\/(-11)*1\/(-1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 128515182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.9381 plus -22145917?\nAnswer: -22145919.9381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (13\/(-4))\/((-2)\/16). Suppose 0 = 2*i - 5*y + j, 3*y = i + 4 + 8. Let m be ((-854)\/21)\/2 - (-3 + 0). Is m smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 16*f**2 - 15*f + 7. Suppose 4 = -3*t + 5*r + 40, 0 = 2*t + r + 2. Give z(t).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 263.2 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-8)\/(-40) - 1432*234\/(-60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5\/22?  (a) 1\/6  (b) -0.5  (c) 0  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 4, z: 6, j: 4}. Give prob of sequence zjj.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-166)\/(-14) + 12\/3024*36\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 3 = 12. Suppose -12 = -3*z - 4*a + 8, -5*z - i*a = -26. Let h = -2 + z. Solve h*x - 3*x = 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 195866431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t + 1 - 1 - t - 2*t + t - 2 + 2 - 2*t + (2 - 2 - 2*t)*(2 + 0 + 0) + t + t - 4*t + 3*t - 3*t - t + 2*t + t - 5*t)*(-17 + 18 + 5 + 6*t**2).\nAnswer: -84*t**3 - 84*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1852\/3355 - 2\/305. Let h(a) = -a**3 + 6*a**2 + 29*a - 17. Let t be h(9). Suppose -4*l + 7 = -x, -12*x + 7*x = -2*l - t. Which is smaller: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 1 + h - 89*h**2 + 44*h**2 + 42*h**2 + 4*h**3. Let g be s(2). Suppose 3*v = -5*f - 5 + g, -2*v = 5*f - 17. Solve -5*l = -v + 21 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 182 + -122 + -29 + 8 + -4\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1620903490 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b + 3. Let q be v(-3). Suppose -w + q*w = 168. Let t = -13 - w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/6*(-2)\/1*(-665613)\/(-34134)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from ppppoiippmm.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 403*w - 7043. Calculate a(17).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 2*x - 8. Let n be j(7). Find the third derivative of -13*b**n + b**6 - 35*b**2 - 7*b**6 wrt b.\nAnswer: -2280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 532, 2129, 4780, 8473, 13196, 18937, 25684?\n\"Answer: -2*q**3 + 539*q**2 - 6*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of 0*k**2 - 1\/2*k**3 + 3*k + 0 - 1\/4*k**4. Find the second derivative of c(t) wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 20, -5, 5, -1, -6828, -4, 2 in descending order.\nAnswer: 20, 5, 2, -1, -4, -5, -6828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + m = 8. Let l(f) = -5*f - 8. Let x be l(m). Suppose 3*w - 26 = -4*n, -5*w + 5*n - 3 = x. Does w = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -6*c**3 + 8*c**2 + 5*c + 13. Is b(-5) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:52 PM and 2:36 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -265262749 + 3*k**2 + 265262749.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: abbd5 (base 14) to base 9\nAnswer: 704525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 251523 is divided by 111.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + 11 - 5. Let l be 35\/(-21) - 4\/p. Which is the third smallest value?  (a) 2  (b) l  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t + 4*i - i + 5, 4*i = 4*t - 4. Let d be 0 + 1 + -2 + t. Solve 5*c = -5*m + d - 16, 16 = -5*m - 4*c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -102 + (7 - -247 - 50)\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 44057082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the first derivative of 18*j**7\/7 + 56*j**3\/3 + 4. Find the third derivative of v(d) wrt d.\nAnswer: 2160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7389389 or -7389369?\nAnswer: -7389369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -2*l - 2. Let h be d(2). Let n = -1.103 + 0.103. What is the third smallest value in h, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/2)\/(-13 + 2 + 18)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10789289 to the nearest integer?\nAnswer: 3285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 160*u - 53. Let o be 10\/12 - 310\/(-60). What are the prime factors of j(o)?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1748 equal to 1746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 (base 12) in base 2?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 255992 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times -32268?\nAnswer: 16134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -65, -9, 0, -5, 1, -16.\nAnswer: -65, -16, -9, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4545173323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 279298740 rounded to the nearest 1000000?\nAnswer: 279000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 + 15*r**2 - 14*r + 32. Suppose -3*c - 248 + 200 = 0. Let u be g(c). Which is smaller: u or 28?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -1. Let u(p) = p + 16. Suppose -5*i - 11*d - 41 = 0, 3*i - 3*d + 11 = 44. Determine i*w(f) + u(f).\nAnswer: f + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 94*r**3 - 14*r**2 - 9*r - 33. Let z be h(-13). Round z to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1223 minus -8.0609403?\nAnswer: 8.1832403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k**3 - 2650*k**2 + 5304*k = 0. What is k?\nAnswer: -2652, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the third derivative of -1691*a**5\/20 + 923*a**3 - 23*a**2 + 25*a. Differentiate p(r) with respect to r.\nAnswer: -10146*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13.2 + -10.2. Let z = -13499\/11 - -1228. Let v = z - 83\/88. What is the nearest to 0 in -0.5, h, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*i**3 - 2*i**3 - 5*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 PM and 4:03 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 90 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - (-7 + -1 + 8)) + -1 - -8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(588) + sqrt(12))\/(sqrt(4) + sqrt(24)\/(sqrt(18)\/sqrt(3))).\nAnswer: -13*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (31 + -12 + -12 + -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4033\/15 + 269. What is the fourth smallest value in -3, 4, -6, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:34 AM and 7:10 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 2)*(-7 + 7 + 7)*((4*g - 14*g + 7*g)*(-4*g**4 + 5*g**4 + 4*g**4) + 0*g**5 - 2*g**5 + 0*g**5).\nAnswer: 238*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**3 + 25*v**2 + v - 34. What is x(25)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -1, 4, -5.\nAnswer: -5, -1, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 884*d - 13260. Give q(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-14)\/(-3 - (-26)\/8). Let f = -27 - u. What is the greatest common factor of 319 and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -46, -175, -386, -679, -1054, -1511, -2050?\n\"Answer: -41*a**2 - 6*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 214 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4097 and -1?\nAnswer: 4097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 742085 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 39293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -654 + 189. Let y = 876 + g. List the prime factors of y.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - ((4 - 0) + -4 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ybfz when four letters picked without replacement from {f: 2, z: 3, d: 1, y: 1, b: 3, v: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 46052, -49, 5, 0 in ascending order.\nAnswer: -49, 0, 2, 5, 46052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 479, 1921, 4325, 7691, 12019?\n\"Answer: 481*n**2 - n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hn when two letters picked without replacement from {h: 6, n: 2, e: 1, g: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -100.4 and -0.01.\nAnswer: 1.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.53 + -4.99. Let s = q + 0.26. Let r = s - -1.2. Is r < -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5044195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 61730 - 61691. Let i(y) = -58*y. What is the remainder when i(-1) is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18.238 - -18.4. Let y = j + -0.16199929. What is y rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1134 + 3379\/3. Is v bigger than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 14224 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*u**2 + 430*u + 9245.\nAnswer: 5*(u + 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -70 + 58*g**3 - 117 + 98*g**3 + 28 + 38*g**3 wrt g.\nAnswer: 582*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-19))**(-42) assuming n is positive.\nAnswer: n**798","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1 - ((-7 - (-2 + 2)) + -29 + 31)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -8*i + 2. Let v be h(0). Solve -2 + v = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5852\/21*3900\/(-12350)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7000044 (base 9) in base 16?\nAnswer: 38c3bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 145392\nAnswer: 29078.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 13\/4 of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -131122 - 102237 = -5334*f + 931*f for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0874312 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 + n - 5. List the prime factors of p(4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -m - 2*y, -3*m + 13 = 5*y - 8. Suppose -4524 - 2174 = -m*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of -w**5\/60 + w**2 + 151*w. Let h(q) = 22*q + 94. Determine o(h(k)).\nAnswer: -484*k**2 - 4136*k - 8836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**2 + 2*c + 24. Let a(j) = j**3 - 2*j**2 - j - 6. Let d be a(3). Does 7 divide z(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/24 of a week?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = 9*x - 2*q, x + 5*q - 88661 + 88641 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 438 divided by 3.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 1. Let u(h) = -1. Let a(i) = -o(i) - 2*u(i). Let l(q) = 5*q**3 + 3. Let b(m) = 2*a(m) - l(m). Differentiate b(t) wrt t.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*n = -18*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dvvdvvyvd. Give prob of picking 4 v.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 + (-20)\/(-5) - (-2019)\/1. Suppose 0 = 2*x + x - f. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2, 65, 236, 569, 1118, 1937, 3080?\nAnswer: 4601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x**2 + 16*x - 12. Let w be f(7). Put w, 0, 0.3, 5\/3 in decreasing order.\nAnswer: w, 5\/3, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 187877.43 rounded to the nearest one hundred?\nAnswer: 187900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1174*s**3 - 48*s + 8.\nAnswer: 7044*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - sqrt(14)\/(sqrt(21)\/sqrt(3) + sqrt(7))) + (sqrt(60)\/sqrt(6))\/sqrt(5) - (sqrt(72) - -1*sqrt(72))\/((sqrt(28)*-1)\/sqrt(7)).\nAnswer: 15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - -7 - (2 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 220 and 0.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b + 2*k - 1487 - 7493, 0 = 4*k + 4. Suppose -4894 - b = -17*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5620 + 21.1438.\nAnswer: -5598.8562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 3*a = -1, -4*p - 5*a + 2 = 15. Calculate the common denominator of p + 3 + (-94)\/36 and -101\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 161, 124, 3 in decreasing order.\nAnswer: 161, 124, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -11*q**2 + 33*q + 4. Let r(c) = -7*c**2 + 22*c + 3. Let f(k) = -8*r(k) + 5*v(k). What are the prime factors of f(16)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 9, g: 10}. Give prob of sequence dgdd.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7648070, 0.5, -14 in descending order.\nAnswer: 7648070, 0.5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 133481?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.5  (b) 2\/7  (c) -0.1  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -42  (b) 1\/13  (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 5*l. Let s(t) = t. Let j(a) = a**2 - 13*a - 27. Let v be j(16). Let m(x) = v*s(x) - 3*k(x). Calculate m(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the second derivative of m**4\/6 - 2*m. Let n(r) be the third derivative of -1\/24*r**4 + 3*r**2 + 0*r**3 + 0 + 0*r. Give u(n(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/98  (b) 520  (c) 0  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -131, -831, -1989, -3599, -5655, -8151, -11081, -14439?\n\"Answer: f**3 - 235*f**2 - 2*f + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 534435 is divided by 3088?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7387279?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14107167 to the nearest integer?\nAnswer: 3756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/1047912 and 25\/12.\nAnswer: 1047912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1287 is divided by 171.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 - 47. Let x = 36.999958 + n. What is x rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89*q = -24*q - 18135. What is the smallest common multiple of 108 and q?\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (7 - (-5 + 10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1366*s**3 - 6*s**2 + 521*s + 1 wrt s.\nAnswer: 8196*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -4*f - 14. Let a be w(7). Let g be (-1)\/3 - (-28)\/a. Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*g + 2*g - 3*g)*(-g + 3 - 3)*(-4 + 2 + 1)*(-4 + 1 + 10) to the form q*g**2 + c*g + r and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1837, 4347, 7519, 11353, 15849, 21007?\nAnswer: 26827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) -15580  (c) -2\/7  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.53 smaller than -315923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13721174 (base 8) to base 9.\nAnswer: -5777253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, c: 2}. Give prob of sequence css.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 4*t**2 + 8*t + 6. Let n be w(-4). Solve 3*r = -41 + n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 16*p**5 - 3052428*p**4 + 8394092*p**3 - 6867868*p**2 + 763092*p + 763096 = 0. Calculate p.\nAnswer: -1\/4, 1, 190774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*u + 1. Let l(j) = -1294*j + 1295. Let o be l(1). Which is the closest to o?  (a) u  (b) 1\/3  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.05 - 19.95. Let k = o - -17. Let h = -146 + 440\/3. Which is the closest to -2?  (a) h  (b) k  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5780569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d + 1. Let n(v) = -v**2 - 12*v + 4. Let k(l) = 6*g(l) - n(l). What is k(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + -1001111?\nAnswer: -1010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4709.9 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kqbkkqqkkkykzybkki. Give prob of sequence ky.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 m when two letters picked without replacement from {r: 3, m: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00557108 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 0 + (1 + 1 - 1)*(3 - 1 + 0))*(-45*w - 22*w + 16*w).\nAnswer: 51*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-558)\/12*(6\/4 - 13\/9) and 1*(-46)\/(-66) - -1.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 PM and 7:12 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 3, l: 1, i: 6, o: 3}. What is prob of sequence illl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(9)\/(sqrt(3) - sqrt(18)\/(-2*sqrt(6))).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 490.1216km in centimeters?\nAnswer: 49012160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 2 - 5*g + 2 + g. Let b be s(2). Let n = 9 + b. What is the lowest common multiple of n and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29e7e0 (base 15) to base 12.\nAnswer: 816b56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 + (30 - 71) - (-2 - 1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((-2 + (sqrt(176) - (-5 + (sqrt(176) - (sqrt(176) + 0)))))*5 - -3*(3*(2*sqrt(176) + sqrt(176)) + 1 + (2*sqrt(176) - sqrt(176)))))**2.\nAnswer: 181440*sqrt(11) + 7773264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 AM and 7:44 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 294484742?\nAnswer: 2, 331, 444841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 261*m = 3*q + 226*m - 205, -2*q - 2*m + 10 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/12)\/((-4)\/(-180)). Suppose -4*m + q = -9. Let l be (3\/(-1))\/((-6)\/4). Is m less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 246 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/4 + (-3)\/(-6) - -7. Suppose 0 = -13*v + d*v. Suppose 6*f - f - 3*t = -21, 7 = -3*f - t. Sort v, f, -1 in ascending order.\nAnswer: f, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*t + 79 + 20*t**4 - 56 + 3*t wrt t.\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30.912 minus 28?\nAnswer: -58.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from coicu. Give prob of sequence uo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the second derivative of -170*d**5 + 2807*d**2 + 10*d + 248. What is the derivative of w(o) wrt o?\nAnswer: -10200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-352)\/89496*-226*(-9)\/(-34)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 0 + 0)*(0*j + 3*j + 4*j)*(5*j - 3*j + 0*j) + (-3 + 3 + 2*j)*(-4*j + 5*j - 3*j) in the form n*j + f*j**2 + c and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -36260.9529 to the nearest ten.\nAnswer: -36260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2438576*u**2\/13 + 17070038*u\/13 - 42\/13 = 0. What is u?\nAnswer: 3\/1219288, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 350*x - 33594 = 29056. Which is smaller: 209 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u**2 - 35*u + 112. Calculate h(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + ((sqrt(11)*1 - sqrt(11)) + 5)**2)*-4.\nAnswer: -100 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.58734428158 and -8?\nAnswer: 7.41265571842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - v - 14, 3*q = -6*v + 2*v + 28. Let w = q + -2. What is the remainder when w\/5 + 15 + 0 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2\/11 - 5118*h\/11 - 5116\/11.\nAnswer: -2*(h + 1)*(h + 2558)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -41.2 + 65. Let k = j - 23.5. What is the closest to -0.1 in 0, -2\/3, 1, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5)\/2*(-2)\/20. Suppose 0*n - 8 = 2*n. Which is the smallest value?  (a) n  (b) -3\/7  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*6178858\nAnswer: 18536574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/7 + 425*v**2\/7 + 44512*v\/7 - 137388\/7.\nAnswer: (v - 3)*(v + 214)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 66*b**3 + 5929178*b**2 + 133163543456*b + 4035253448.\nAnswer: 2*(b + 44918)**2*(33*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*s + 3)*(-s + s - 2*s**2) + 32224*s**3 + 324969404*s**2 - 2 - 324969404*s**2.\nAnswer: 32220*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1624 at most 3354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*o = -0*o + 48 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 + 4. Let c(f) = -97*f. Give w(c(k)).\nAnswer: 9409*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 3*g - 3 - 4 = 0, 0 = -a - 5*g - 19. Let q be (-1)\/(-2 + 1)*(10 + 9). Let p = q - 15. Sort a, 3, p in decreasing order.\nAnswer: p, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -453*p**4 - 409*p wrt p.\nAnswer: -5436*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*3*(-433)\/(-3). Suppose 41*z = 2 + 128 + 75. Suppose -2*c = z*o - 547, 5*o - o - 3*c = m. What are the prime factors of o?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1021010 (base 3) to base 15\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -278.10643437 plus 46?\nAnswer: -232.10643437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36279751?\nAnswer: 17, 283, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4197302 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: Let i = 64 - 59. Suppose 0 = -c + 4*c - 3*y - 18, 2*c = i*y - 3. Calculate the remainder when 51 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 - 2*l**2 - l + 2. Let p be t(-2). Suppose -4*i - 2*a - 30 = 0, -15 = 5*i - a - a. What are the prime factors of (i + p - -40) + 2?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 1\/213?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-54)\/(-14) - 3)*-1. Suppose -5*o - 10 + 0 = 0. Is h <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -1\/406?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 + 6*k**2 - 1. Let d be n(-6). Put d, 1\/2, 4 in descending order.\nAnswer: 4, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (92\/16)\/(1*-7*33\/1848)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-14)\/(-35)*(6 + -1). Solve -w*n + 5*n = -3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from tete.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:08 AM and 5:20 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6962500 divided by 1740625.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1216)\/960 + -1 + 10\/6.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the first derivative of -4*k**3\/3 + 7*k**2\/22 + 1395. Suppose n(r) = 0. What is r?\nAnswer: 0, 7\/44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 - 3*a + 20. Let m be j(-6). Suppose -m*n = o + 3*n - 10, -6 = -3*n. Solve o = 3*l + l + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 878 + 586 = 122*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4\/7, -10, -0.02, 5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**2 - 6*f + 4. Let i be w(4). Let m = i - -2. What is the least common multiple of m + (21*1)\/3 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -2*t**3 - 102*t**2 + 2093*t + 106818. What is i(-51)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 192 - 2*x**2 - 93 - 99 - 347*x.\nAnswer: -2*x**2 - 347*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -2*l - 2. What is the remainder when 2*17 + 1 - 0 is divided by r(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-880)\/(-48))\/(-11))\/(2\/6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -23701, -189756, -640485, -1518226, -2965317, -5124096, -8136901?\n\"Answer: -23723*m**3 + m**2 + 3*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*x + 12*x + 24. Let h = 7 + -8. Sort h, 3, x in decreasing order.\nAnswer: x, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in fourty-five quarters of a meter?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4\/3, 3\/7, 0.4, -7.4, -3\/8, 1\/14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 143 a factor of 2687971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10320 + 141*s**3 + 5159 + 5161.\nAnswer: 141*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2150576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9296\/(-80) + 2\/10. Let p = 120 + f. Suppose l + 0 - 6 = 0. Solve w - p + l = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -1 - ((-6 - -22) + -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -77*s**3 + 2*s - 1. Let j be a(1). Suppose 3*y - 3*n + n = 351, -4*n - 587 = -5*y. Let v = y - j. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 998430.\nAnswer: 2, 3, 5, 23, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -4*z + 338, 0 = 4*z - z - 4*k - 247. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 107131972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -3*h - 7. Determine m(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 4 + -3 - -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -34*p - 24. Let w be u(-6). What is the highest common factor of 20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1d (base 14) in base 8?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 53373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-37455)\/(-2497)*(-126)\/(-135).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-4 - -6)*(-41)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -5*y**3 + y**2. Let c be s(-2). Let t = 7 + -13. Let j = c + t. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4f29 (base 16) to base 6\nAnswer: -233453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -38*w + 3703 - 3817 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2123, -4209, -6295, -8381, -10467, -12553?\nAnswer: -14639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 320 = u + u. Suppose -5*w + 0 + u = 0. Let x = 59 - w. 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: What is the closest to -1492 in 1\/19, 1.2, 2, 0.5?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 - -20 - (5 - 7 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -4, 11 = -3*m + 3*o + 2*o. Suppose -5*x = -4*l - 2, 9 = 5*l + m*x - 7. What is the remainder when 5 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1111 (base 2) to base 9.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 938397225.\nAnswer: 3, 5, 29, 431447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (-34)\/(-8) + (-1)\/4 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3\/5 + 1. Is -2 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 2*p**2 - 9*p. What is q(-7)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 110099 is divided by 62?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3db77 + 4?\nAnswer: -3db73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 42*k + 41. Let q(r) = 7*r + 4. Let m be q(2). Is x(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**3\/5 + 1982*m**2\/5.\nAnswer: -2*m**2*(m - 991)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5024, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 18\/(-4)*(0 - -2). What is the units digit of (w\/3)\/((-6)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.45 in 2, -1\/90, -0.15, 0?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4648326 is divided by 1436.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -4*d**3 - 7*d**2 + 10*d + 87. What is the remainder when 1003 is divided by l(-5)?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32598, -65165, -97732, -130299, -162866?\nAnswer: -195433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*j - 5 - 21 = 2*j. Which is the second smallest value?  (a) -2\/9  (b) 0.5  (c) -5  (d) 17  (e) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1191 - 547. Let f = q - 640. Solve 3*d - f = -4*n, 0 = 4*n - 4*d - 1 - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20.55 - 0.2\nAnswer: 20.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4.08 - 4.2629. Let t = -0.5402 - b. Let o = t - -0.36. Round o to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j - 4. Let s(t) = t**2 + 12*t - 6. Let v be s(-12). Let k be w(v). Solve 6*i = k*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -5*r - 33. Let k be t(-7). Suppose -3*x + 16 = -n, k*x - 16 - 23 = -5*n. Let w(d) = -d**2 + 6*d. Calculate w(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (15*-1 - 0) + -3. Let x = -3 - i. Solve -5*v = 3*f - 22, 0 = -5*f - 0*f - 4*v + x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 - 14*t**2 - 16*t - 26. Let h be 1\/(2\/7 - (-462)\/(-1274)). Calculate the remainder when 127 is divided by l(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 4*y + 1022 = 0, 10 = -y + 3. Calculate the greatest common divisor of j and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*t - 18. Suppose -5*y + 25 = 5. Calculate the lowest common multiple of y and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320) - (sqrt(320) + (sqrt(320) + 1 + sqrt(320) - sqrt(320))))*6*5*-3*6.\nAnswer: 540 + 4320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3015.267178 rounded to the nearest 10?\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-92)\/(-138)*9\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t**2 + 6*t**2 - 2*t**2)*(0 - 2 + 4)*(0 - 3 + 1).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1893 + 9463\/5. What is the closest to -1\/2 in -10, f, -3, 10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4866942*c**3*f**4 - 19165*c**3 + 14*c**2*f**4 + c**2*f**2 + 10*c**2 - 60*f wrt f?\nAnswer: -116806608*c**3*f + 336*c**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -18.483  (c) -3\/4  (d) 1  (e) 0  (f) -245\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 503.32 + -502.92. Suppose -t - 30 = 2*t. Let k be ((-1)\/t)\/(3\/(-6)). What is the third smallest value in k, -1\/8, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 0. Suppose t + 4*t = 10. Suppose -t*x + z = -2*m + 19, 2 = 2*m + x. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -51030000 rounded to the nearest one million?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.09?  (a) -6  (b) -0.2  (c) 1  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 2*z - 2. Let m be j(3). Which is the nearest to -1\/7?  (a) 0.5  (b) 1  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -62795881.9 rounded to the nearest 1000000?\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 4*((1 + (2 + 1 + sqrt(684) + sqrt(684) - -6*(-1 + sqrt(684)))*5)*1)**2.\nAnswer: -26880*sqrt(19) + 4378387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 36 and 1035.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*g**2 + 24369 + 56*g - 24369 to h*g**2 + y*g + q and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b**4 - b**3 + b**3 + (-3 + 3 + 2*b)*(-3*b**3 + b**3 + b**3) - 7*b**2 + 4*b**2 - 4*b**4 + 5*b**2.\nAnswer: -8*b**4 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -3*t**2 - t - 54. Let a(l) = l + 1. Give -3*a(q) - z(q).\nAnswer: 3*q**2 - 2*q + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 719*n - 714*n = -2*x + 47, 6*x + 24 = 0 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 43912971 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -72 + 69.1. What is j rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 436 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 37535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o + 2*p = 27, 4429*p - 87 = -o + 4415*p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.37 + 0.449. Round s to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 150 (base 14) to base 5\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 4910 = -5*v - 0*x, 0 = 4*v - 3*x - 3939. What is the remainder when v is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25 - -22. Suppose 4*t - 11 = 3*a - z, 5*t = a - 23. What is the greatest common factor of 16 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81718 = -6*l - 81730 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 72 = -37*m + 33*m, -4*m + 18 = d. What is the greatest common divisor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 + -193 + 2 + (8 - 3) + -32?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 54*s - 58*s - 146480. Round s to the nearest one thousand.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 15912  (b) -4\/7  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 24*c**2 - 20*c + 803. Is j(-31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 2*o = -4 + 19, 20 = -5*w - o. Let x be (-18865)\/(-3780) + -1*w\/(-1). Is x less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2859 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*y**5 + 3*y**3 - 265*y**2 wrt y?\nAnswer: 240*y**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (58 + -59)\/(0 - 6). Let o(r) be the first derivative of -1\/2*r - 6 + 1\/16*r**4 + h*r**3 - 1\/8*r**2. Factor o(q).\nAnswer: (q - 1)*(q + 1)*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 980 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 567 + -6923\/12. What is the common denominator of 55\/4 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 162 and 405.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from itarsstfi.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 4, e: 7}. Give prob of sequence euee.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/24*(-2)\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 6) in base 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ujcluj. What is prob of picking 1 c and 1 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -648.8878 + 649. What is w rounded to three dps?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60147 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00509506689 to six dps.\nAnswer: 0.005095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w - 72*w**3 + 70*w**2 - 9 + 1 + 8*w + 4.\nAnswer: -2*(w - 1)*(4*w + 1)*(9*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b + 2*b - 18. Suppose -5*j = 5*g, 0 = -2*g - g + 2*j + 10. Differentiate -b + g - i**3 + 7 wrt i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/10242 and -7\/471?\nAnswer: 1607994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 105*i = -31*i - 834 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171) - -2*-1*sqrt(171))\/(sqrt(72)\/sqrt(200)))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1870616254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of 2*p**3\/21 - 17*p**2\/7 + 12*p + 321. Determine y, given that z(y) = 0.\nAnswer: 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14 - -19. Suppose 0 = -i*p - 4*p - 9. Let k be (-34)\/(-60) + 1*p\/2. Which is the third smallest value?  (a) 0.1  (b) -5  (c) k  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 62 + -66 - (6 + (-30 - -1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5866 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2294627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s**4 - 6573*s**3 - 4036329*s**2 - 744931335*s + 6221153400 = 0. Calculate s.\nAnswer: -1309, -445, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -6.9  (b) 3\/224  (c) -4\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*q**2 + 8*q**2 - 19*q**2 + 56*q**2.\nAnswer: 59*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 - -7. Let j be (-6)\/(-21) + 4\/(-14). Suppose z + z + 4*s = j, t*s - 15 = -4*z. Calculate the remainder when 11 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14770 - 14959. Which is the nearest to 0.2?  (a) x  (b) -1  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -22*j*w**3*y**3 - 17*j*w**3 + 8829*j*w**2*y**3 wrt w.\nAnswer: -132*j*y**3 - 102*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(128) + (sqrt(128) - (sqrt(128) - (-5 + -3 + sqrt(128)))**2) - -5*sqrt(128)*2) + -4.\nAnswer: -68 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -2*s**3 + 46*s**2 + 3*s - 53. Calculate j(23).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.13716 - 6.14246. Let b = m + 0.0053. Suppose 4*u = -11 + 3. What is the second biggest value in u, 3, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 183*m - 189*m + 438. Suppose -2*u = u - s - m, 4*u = -5*s + 91. Let d = 9 + -5. Solve -d*c - u = -2*j, 4*j = -4*c + j - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 5*x + 15 = 6*x, -12 + 9 = 3*x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 2*u + 3*u, 0 = -4*a + 4*u - 12. Suppose 0 = 3*h - 5*h + 30. Suppose -24 = -19*k + h*k. Solve a = -4*o + k - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-19))\/p*p**4 assuming p is positive.\nAnswer: p**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -30, 0.5, -1\/6, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 224*i**3 - 4 + 14 - 3 + 3*i**3 - 8 to x*i**3 + c + l*i + h*i**2 and give x.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 144684529 divided by 120671.\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 5*f = -2783, -23*f - 2079 = -3*y - 22*f. What are the prime factors of y?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 4.68332 milligrams?\nAnswer: 0.00000468332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qgquuqtgumguu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 97, -3 in ascending order.\nAnswer: -3, 9, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 113, 130, 147, 164?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y and 1 u when four letters picked without replacement from {p: 1, q: 3, o: 2, y: 3, u: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26 and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 308\/(-66) - 5\/(-3). Let x be (4 + q)\/(5 - 6). Let k(f) = -2*f**2 - 2. Let b(s) = -1. What is x*k(h) + 2*b(h)?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 2800698 = -4*a, a + r - 55506 = 644673. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 401*a**2 + 80*a - 564. Is w(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2190, 43.7, 0.2, -5\/2, 6 in increasing order.\nAnswer: -5\/2, 0.2, 6, 43.7, 2190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {l: 1, y: 1, d: 2, s: 1, x: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/6)\/(10\/(-25))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, -387, 0.4, 5, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1786 in 0.4, 0.02, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -54220078\/7 and -7745726 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -110021221021010 - -100?\nAnswer: -110021221020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 4*p + 25 = 0. Let s be ((-62)\/p)\/((-6)\/(-197)). Let f = -407 + s. Which is the third biggest value?  (a) -5  (b) f  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7274302?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1*10\/2 - 64. Let k = s - -49. Let c be (6*(-4)\/k)\/((-1)\/(-60)). What is the highest common factor of 96 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 13, 6, 2.067, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-3\/8))**(-43)*((l*l**(-2\/3))\/l*l)**(4\/7))**(1\/2) assuming l is positive.\nAnswer: l**(2741\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1)\/(-1) - 25)*(-12)\/(-24). Let k = s - -387. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + -4. Let y = u + 6.5. Which is the biggest value?  (a) 3\/5  (b) 4  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24 and 17086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76*u**3 + 19*u**3 - 18*u**3.\nAnswer: 77*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 3*w**2 - 333*w - 2. What is i(111)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (a + 3*a + 6 - 6*a)*(-1 - 4*a + 2*a + 5) to j*a**2 + k*a + h and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1 and -579810359654.\nAnswer: -579810359654.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(112)*-3*6 + -3 + (sqrt(112) - (sqrt(112) + -3 + sqrt(112))*-5))**2.\nAnswer: 1176*sqrt(7) + 5929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*a - 18*a - 7*a = 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by -206.\nAnswer: 4\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1122  (b) -2  (c) 0.1  (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 200*c + 208*c - 419*c)*(-c**2 + 0*c**2 + 0*c**2) - c**3 + 6*c**3 + 0*c**3.\nAnswer: 16*c**3 - 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 3 s when four letters picked without replacement from scyycqcyycyysssssy.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**4 + 88*u**3 - 612*u**2 + 1296*u.\nAnswer: -4*u*(u - 9)**2*(u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.054 + -0.046. Let t = p - -0.9. Put 0.1, 7\/5, t in decreasing order.\nAnswer: 7\/5, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 185 a factor of 1013158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:36 PM and 4:01 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/5)\/(22\/5*1).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -36*-0.224\nAnswer: 8.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -3*i**3 - 15*i**2 + 20*i + 2. Let q(g) = -2*g**3 - 7*g**2 + 10*g + 1. Let l(m) = -5*q(m) + 3*y(m). Is l(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1.65349  (b) 0.2  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11536419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-16)\/260*-13)\/(2\/15). Let v(l) be the third derivative of -l**4\/24 + 7*l**3\/6 + 48*l**2. What is v(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/18*(-3)\/5*14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7230 - 7315. Is -6 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -343 + -46?\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 129.999937 + -130. What is s rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5a7bcc - 78?\nAnswer: -5a7c77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 + 1. Let j = m - -7. Let o be (j\/30)\/((-9)\/(-15)). What is the closest to 1 in o, -5, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1507754 and 64558.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 5075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -2059, -0.4, 2\/5, 314 in descending order.\nAnswer: 314, 2\/5, -0.4, -16, -2059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) -13  (b) -0.06  (c) -6.1  (d) -5\/31  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 + 6*w**2 + w + 6. Let t(k) = k**2 - 9*k + 6. Let p be t(9). Calculate m(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -783*z**3 + 3135*z**2 - 3144*z + 12.\nAnswer: -3*(z - 2)**2*(261*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -30 - -18. Let i(y) = 53*y**2 - 5*y - 6*y + 4*y - 34 + 18. Let a be i(l). Round a to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -2. Let w(a) = 6 - 2*a + 3*a**2 + 5*a - a**y - a**2. Let i be w(-4). Calculate the greatest common factor of 30 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23.155 - 0.155. Let a = -18.1 - 5.4. Let q = a + r. Sort 0.6, q, -3\/7.\nAnswer: q, -3\/7, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*b - 2*b - 8. Let t = 13 - b. What are the prime factors of (t + -7)\/((-1)\/(-6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 127944 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 + -7.2. Let o = -0.3 + -0.7. Let l = o - a. Which is smaller: l or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2936743 and 174?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1160 + 0.199487784\nAnswer: -1159.800512216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 2*k - 3*r, 0 = 2*k + 5*r. Suppose k = -5*x - 0*x + 60. Calculate the highest common divisor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3743295 by 5.\nAnswer: 748659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 + (-3)\/15 + 4\/(-5). Let v(r) = -r**2 - 9*r - 20. Let s be v(-6). Put -8, 1, s, b in descending order.\nAnswer: 1, b, s, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 * -29299.45\nAnswer: -87898.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 33184 and 488.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1068 - -2348. 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: Let o = 1 - 4. Let y = 3 - o. Let t = -31 - -41. Calculate the smallest common multiple of y and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000001277988 to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/52 and 49\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 3313075147 + -2974\nAnswer: 3313072173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide (-436)\/(855\/(-117) + 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4 - 5)*1*-2. Let o be (2\/4)\/(r\/540). Calculate the greatest common factor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 20\/121243?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.1, 1\/30, -1261, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 65762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.07331 rounded to two dps?\nAnswer: -10.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 829 + -829.0000009725. Round y to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 - 21*u**2 - 241*u - 5772. Determine v(-22).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 265442 is divided by 1500?\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - j - m - 1 = 0, -150*m = -146*m - 56 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 146 and 4307?\nAnswer: 8614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 564593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -186127?\nAnswer: -5\/186127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 85, 273, 777, 1759, 3381?\nAnswer: 5805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cvt. Give prob of sequence vt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*m**3 - 388 - 807*m + 619 + 834 - m**3 + 102 wrt m?\nAnswer: 6*m**2 - 807","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -508 + 511. What is the remainder when 111 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -10 + (3 - -9 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*o + 4 = 33*o, 1 = -3*l + 4*o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144794*g = 144817*g. Sort g, 107, 0.19 in increasing order.\nAnswer: g, 0.19, 107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-1\/3)*n**3*(n*n**(-2\/9))\/((((n*n**(-8))\/n)\/n)\/n) assuming n is positive.\nAnswer: n**(121\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.3174190069 and -5.02.\nAnswer: -5.3374190069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 87898, 85595, 83294, 80995, 78698, 76403?\nAnswer: 74110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -l - 130829, -3*s = 4*l - 10998 - 67527. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15 + 0. Let f = y + 0. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17497014571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -4*s - 5*s + 11*s - 27*s**3 - 2*s. Let q = -34 + 35. Calculate i(q).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19859.29 + 4.78?\nAnswer: 19864.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d = 11*d. Suppose d = 3*u - 3*l - 192, u = -3*u + 2*l + 256. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(-660)*11*(-3)\/1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -15873.\nAnswer: 1\/5291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**3 + 4*s**2 + 8*s + 21. What is v(8)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.3  (b) 1\/3  (c) -4  (d) -0.09396  (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.96 + -2. Let q = 3.06 - 3. Let s = q - n. Which is the closest to 1\/3?  (a) -3\/5  (b) -5  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12\/(-15) - (-48)\/10. Let a be (1 + 264012)\/(5 - k). Suppose -a = 4*p - 69613. What is p rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*o + 17 = -11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 808.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 961752877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -7011 - 151?\nAnswer: -7162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*h**4 - 6*h**4 + 5*h + 5*h**4 - h**2 as a*h**2 + f*h**3 + o + x*h**4 + g*h and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 15 = 4*u, -29*i + 4*u - 9*u = 44 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zznvzzdznpzzpdz. What is prob of picking 3 z and 1 d?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 285827?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 + 11403320114?\nAnswer: 11403320121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**2 + c - 1. Suppose 3*o - 54 = 42. Let q be 4\/(-6) - o\/(-12). Let y(b) = q*b - 1 - b + 3*b - 3*b - b**2. Calculate -5*p(g) + 6*y(g).\nAnswer: -g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 + 5*h**2 - 9*h - 36. Let r be c(-5). Let f(y) = 252*y - 65. Is f(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29.3002683 rounded to 1 dp?\nAnswer: -29.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6.64656 and 4?\nAnswer: 26.58624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 12 - (-9 + 17 - (-9 - -10 - 6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -31 times -1475\nAnswer: 45725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3037 is divided by 750.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 9 - (4 + 4 + 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.02  (b) -1.06  (c) -3  (d) -169  (e) 0.1  (f) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 162713*p - 304. Determine d(0).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25 - 25.7. Let b = -2.7 - d. Sort -0.3, b, 1\/5, -2\/5.\nAnswer: b, -2\/5, -0.3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -4*g + 778, 0 = -5*v + 3*g - 248 + 1012. Let m be 92 - ((-4 + 5)*-2 + 0). Let w = -80 + m. What is the greatest common factor of w and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 2*j + 43, -4*j + j + 9 = 3*x. Suppose -m = -0*m - x*m. Let d = -0.06 + 0.36. What is the closest to m in -1\/3, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15779 at least 15780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3260 - -8487. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -290960*l**2*n**3 - 227*l**2*n**2 - 259*l**2 + n wrt n.\nAnswer: -1745760*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/842?  (a) -5  (b) -7  (c) 849  (d) 1  (e) -0.5  (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -2\/13, 8370\/13, -2\/7, -24, -2, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-3*(-2 + (sqrt(833) + 4 - sqrt(833))) - (4*sqrt(833)*-1 - sqrt(833))*6*5)**2.\nAnswer: -75600*sqrt(17) + 18743796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1278*z = -1290*z + 348. Solve z*f + 22 = 40*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -5*r + 31. Let a(z) = z. Let w be a(r). Let f be (7\/(-7))\/(2\/w). Sort f, 4, 0.2 in ascending order.\nAnswer: f, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/93673 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2013 + -797. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -48672 - 43?\nAnswer: -486b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 + w**2 + 4*w + 80. What is g(0)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16.1 + -0.1. Let u = x + -15. What is the third smallest value in u, 3, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 PM and 2:49 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 355672 + 3?\nAnswer: 355675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21738 is divided by 2439?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/15  (b) -5260  (c) -0.48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-48)\/(-21) + 4\/(-14). Suppose 0 = -4*f - 6*m + 3*m + 8, 3*m = 4*f - 32. Solve 4*t - 9 = -f*x, b*x - 4 + 3 = t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 982321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of m**3\/3 + 5*m. Let n(x) be the first derivative of -4*x**3 - 354. What is t(n(u))?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8171*s - 98*s**3 - 14*s**2 - 8685*s + 3 + 18046*s wrt s.\nAnswer: -588*s - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.3 - 48.7. What is the second smallest value in 2, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u - 8*u + 12 + u**2 - u - 1. Let b be s(7). What is the units digit of (b\/(-6))\/(-2)*51?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15158610 divided by -1010574.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add -47215407044 and 285.\nAnswer: -47215406759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -211*v + 481190 - 497226 = 0 for v.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9398 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 11*r**2 + 3*r + 11. Is y(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -8*y**2 - 71*y + 12. Let v be m(-9). Let u(i) = i**2 - 4. Calculate u(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1025\/1204 + 1\/172. Let 6\/7*d**2 - 2\/7*d**3 - y*d + 2\/7 = 0. Calculate d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the second derivative of r**4\/12 - r**3\/3 - r**2\/2 - 6*r. Determine u(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6 times 467882?\nAnswer: -280729.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3)\/(134651\/606051 + (1220\/180 - 7)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 + (-14 - -19) + 4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + 1a0db30?\nAnswer: 1a0db2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 41 + -36. Suppose 4 = 2*h - 2*j, 2*j = k*h + 6*j + 26. Let x(f) = f**3 + 4*f**2 + 3*f - 1. Let d be x(h). Let q(y) = 11*y**2 - 2*y + 1. What is q(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of 1\/12*t**3 + 0 + 6*t + 0*t**4 + 1\/8*t**2 - 1\/40*t**5 - 1\/120*t**6. Suppose z(q) = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 890418.\nAnswer: 2, 3, 148403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -28*(-1)\/(-4)*(-8)\/((-40)\/5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -41 and -0.254.\nAnswer: -41.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37.95436933 - -0.6.\nAnswer: -37.35436933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1120 (base 11) to base 8\nAnswer: -2702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 722 = 2*b. Let a be ((1 - 4) + b)*-1. Suppose 5*t - 259 = -3*i, -5*i = -i + 2*t - a. What is the remainder when i is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-27) - (0 + 408\/378).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 23*a + 19. Let o be y(0). Solve -4*d - o = -b, -2*d + 4*b = -3*d + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -1) + -4 + 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 111 and 8664.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 16 times 10\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 221 a factor of 5304023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -866*q - 271 wrt q.\nAnswer: -866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l**2 + 4*l**3 + l**2)*(-220*l + 1 - 192*l + 390*l).\nAnswer: -88*l**4 + 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 11548 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*1*sqrt(1008))**2 + (-2*(-2*sqrt(112) + sqrt(7)))**2.\nAnswer: 10444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51345204.\nAnswer: 2, 3, 97, 44111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1457117681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -494\/101 or -2?\nAnswer: -494\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -4*z - 2. Let s be u(-2). Which is the closest to 0?  (a) 1  (b) 2\/11  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22641 is divided by 208?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/20)\/((-45)\/30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 5*x - 10 + 31 = 0, 37*x = 25*v - 28*v - 102 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*u + 12*r - 13*r - 21, u - 2*r = -7 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from {g: 8, n: 1, z: 6, q: 1, r: 3}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 5:23 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 56\/16*(-516)\/(-11438)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00631686 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 62\/951 and 64\/513.\nAnswer: 162621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 37745748 to the power of 1\/3, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -34*o - 16. Let v(c) = 12*c + 6. Let r(k) = 8*v(k) + 3*w(k). Let a(y) = -44*y + 19*y + 24*y. Give a(r(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 476, 283, 52, -217, -524, -869?\n\"Answer: -19*h**2 - 136*h + 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 3*p**2 + 3*p + 3. Suppose 12 - 28 = 4*f. Let y be 696\/40 + 4\/(-10). Let w(x) = 7 - x + 9 - x**2 - y. What is f*c(v) - 11*w(v)?\nAnswer: -v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2*h - 3)*(27 - 13 - 31)*(4*h**2 + h**2 + 0*h**2 + (2*h - 1 + 1)*(2*h - 4 + 4)).\nAnswer: -306*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of -o**4\/12 + 77*o**3\/6 - 93*o**2\/2 + 190*o. Differentiate n(u) with respect to u.\nAnswer: -2*u + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from vwwwwoowoow.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 4*r + 4*c - 376, 2*c - 8 = 0. What is the remainder when r is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:38 AM and 11:48 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - 25759622?\nAnswer: -25759624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 5494500.9 seconds?\nAnswer: 1526.25025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41 + 22 - 2*r + 4 - 4.\nAnswer: -2*r + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -4473*t**2. Let f(j) = 41755*j**2 + 2. Determine f(w(a)).\nAnswer: 835422724395*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/10 + (-54)\/(-10). Let z = 9 - s. Suppose -y + z*y + 2 = 4*a, -y = 3*a - 9. Solve -a*d - r = 2*r, 0 = -5*d - 4*r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 217.21 - -4.79. Let l = 221.577 - p. Let f = 0.023 + l. Sort f, -3\/4, 2, 3\/7 in increasing order.\nAnswer: -3\/4, f, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1337 smaller than -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - (-3 + -5 + -16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b. Let d(k) be the third derivative of -7*k**5\/40 - k**4\/24 - 4*k**3\/3 - 13*k**2. Let c(m) be the first derivative of d(m). Determine a(c(p)).\nAnswer: -21*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -2 - 4. Suppose m = -0*m + 7. Let v = m - 8. Sort x, v, 0 in descending order.\nAnswer: x, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22635221 and 13146.\nAnswer: 2191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((9 + 5 + 37)*(2*w + 9 - 9) + (-2 + 2 - 3)*(w - 3*w + w))*(0 + 4 - 3).\nAnswer: 105*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1a435b11 + -3?\nAnswer: -1a435b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -4*g**3 + 2*g**2 + 6*g + 4. Let j(l) = -3*l**3 + 2*l**2 + 5*l + 3. Suppose -3*w + 5*w = 4, 32 = 5*z + w. Give z*j(q) - 5*a(q).\nAnswer: 2*q**3 + 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 843402\/377 or 2236?\nAnswer: 2236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the third derivative of 0*c + 0 + 1\/240*c**5 + 1\/24*c**4 - 72*c**2 + 0*c**3. Factor z(o).\nAnswer: o*(o + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3338, 15070, 35200, 63728?\n\"Answer: 4199*u**2 - 865*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + t = 20, z + 4*t + 14 = -11. Let q(m) = -4*m + 1. Let n be 4\/(-10) - 12\/(-5). Let y(d) = -8*d + 32 - d - 29. Give n*y(f) + z*q(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 + 2*m - 19. Calculate l(4).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2893.\nAnswer: 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -97*y**2 - 2*y + 2. Let d be r(1). Let c = d - -205. What is the greatest common factor of 27 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes after 5:52 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76*p = -121*p - 270. Let w(a) = -a**3 + 4*a**2 - 3*a + 3. Let h be w(3). Let i(t) = -3*t**3 + 5*t**h + 6*t**2 - t**3 + 6. Give i(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f = f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 16578134?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*a + 135501 = -138591. What are the prime factors of a?\nAnswer: 2, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.362 + 0.138. Let w = 15.1 + -14.1. Sort 0.6, j, w.\nAnswer: j, 0.6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -4\/11  (b) -0.15  (c) 0.04117  (d) -0.09  (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2428490?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6 - 129?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*c - 6*c + 2*c + (-18 - 5 - 2)*(-123*c - 148*c - 581*c) - 2*c + 3*c - 3*c.\nAnswer: 21297*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*s = -17 - 127. What is the remainder when 64 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1184 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5534760 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 523927\/(-57) - (-3 + 0 + 0). Let q(c) = -1150*c**3 - 4*c**2 - 5*c - 6. Let z be q(-2). Let w = z + k. Calculate the common denominator of 109\/10 and w.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**2 - 11*l. Let j be s(-11). Let v(q) = -q + 22. Let c be v(j). Calculate the greatest common factor of c and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 20*x**3 + 112852*x**2 - 2651504*x + 1042544 = 0.\nAnswer: -5666, 2\/5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 319 is divided by 65?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -179*x**3 + 74*x**2 + 6*x + 29. List the prime factors of w(-5).\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(64\/(-12)) + (-86)\/16. Let u = -0.5 + 0.8. Let h = 0.5 - -2.5. Which is the smallest value?  (a) j  (b) h  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.64487 rounded to one dp?\nAnswer: 10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-850)\/(-350) + 4\/7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -12*c**2 - 4*c + 17. Calculate f(5).\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8745206, -17490417, -26235636, -34980869, -43726122?\nAnswer: -52471401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 900*s**2 - 1 - 4 + 5.\nAnswer: 900*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 2*b**3 - b**2 + 9*b - 10. Let r(v) = -5*v**3 + 4*v**2 - 27*v + 30. Let g(w) = -3*r(w) - 8*z(w). Let o be g(-7). Round o to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8477.\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1647987 + 6508036 = w. Let i = 6920049 - w. Round i to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*c + 4877351*c**2 - 4877430*c**2 + 13*c.\nAnswer: -79*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 10, -25, 0, -56, -2 in descending order.\nAnswer: 10, 7, 0, -2, -25, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -44*c - 10. Let w be a(-2). Calculate the highest common factor of 52 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 190 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -42878\nAnswer: 5\/42878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 8 = -279*x + 276*x, 12 = 4*x + 2*w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -420*l**4*r**2 + l**3*r + 2*l**2 - 21*r**2 wrt l.\nAnswer: -10080*l*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30 and 24610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 7*l**2 - 14*l. Let j(u) = -2*u**2 - u. Let g(x) = -6*j(x) - k(x). Factor g(z).\nAnswer: 5*z*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, d: 3, q: 2, n: 2}. What is prob of sequence qq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.4 - 1.6. Let w = -0.1 + s. Is w < -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 70*u**3 + 69*u**3 - 148*u**3 - 4*u - 2 + 1 - 5*u**4 in the form c*u**2 + y + b*u**4 + n*u**3 + m*u and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the second derivative of h**6\/1620 + h**5\/540 + h**3\/3 + h. Let s(r) be the second derivative of f(r). Determine m, given that s(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lfthleltlee. Give prob of sequence eth.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 6*b**3 + 63*b**2 - 7*b + 265. What is k(-11)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9 or 3\/40400?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1*8448\/51788 + 4\/(-66)*6\/(-2)\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21596 and 6219648.\nAnswer: 6219648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 275*(-72)\/(-33264) + 2\/(-4). Determine o, given that -h*o**2 + 44\/21 - 6\/7*o = 0.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 4*l**3 - 7*l**2 - 7. Let q(j) = 4*j**3 - 6*j**2 - 6. Let v(f) = -f - 9. Let a be v(-8). Let w be (-1 - (-3 - a)) + -8. Give w*q(y) + 6*k(y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*z**3 + 0 + 0)*(-2 + 3 + 1) + (-z - 2 + 2)*(112867*z + 111*z**2 - 112867*z) in the form y*z + v*z**2 + i + k*z**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23 - 23.0004. Round x to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 347\/5336?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**2\/7 + 1660076*b\/7 - 4980264\/7.\nAnswer: 4*(b - 3)*(b + 415022)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -90*a - 1977. Let s be r(-22). Solve -45*w = -42*w - s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1087 and 0.02.\nAnswer: 1087.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -762 + 174. Let x = 610 + t. Solve 0*c - 5*c = -5*k - 15, 4*k + x = -c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(-7)\/(-56)*-2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + -333a7?\nAnswer: -333a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 1)*(1 - 8 - 1)*(-13 + 0 + 0*p + 3 + 15*p).\nAnswer: 120*p - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -424 + 624. Suppose -3*q - 2*j + 26 = 0, 2*q - 13*j - 17 = -14*j. What is the greatest common divisor of q and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, 0, 11, 5, -47 in decreasing order.\nAnswer: 11, 5, 3, 0, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 + -2. Suppose q = 2 - m. Sort -4, -3, q.\nAnswer: -4, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28604 and 95229867?\nAnswer: 380919468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of -o**4\/66 - o**3\/11 - 2*o**2\/11 - 74*o + 1. Suppose f(n) = 0. What is n?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times -0.8033356\nAnswer: 0.24100068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (126\/210)\/(-2*46\/(-440)).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 433725 (base 8) to base 10\nAnswer: 145365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*m**2 + 1 - 1 - m + (-1 + 0 - 1)*(4*m - 4*m + m**2) + 3 + 4*m**2 - 3*m**2 - 1 - 1200*m + 1200*m - 247*m**2 in the form p + y*m + n*m**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000423194 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 1 - 3)*(1988 - 898 - x**4 + 2*x**4 + 901 - 9*x**3) as c*x**3 + z + a*x**2 + m*x**4 + j*x and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*k - 3*k + 21*k**3 + 4*k + 32 - 3*k.\nAnswer: 21*k**3 + k + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*o**3*z**3 + 14*o**3*z**2 - 570610*o**2*z**3 - 14047*o*z**2 - 3*o*z - 2*z**2 wrt z.\nAnswer: -18*o**3 - 3423660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together 18 and -11069079.\nAnswer: -11069061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**4\/9 - 285*c**3 - 2567*c**2\/3 - 7703*c\/9 - 856\/3.\nAnswer: (c - 2568)*(c + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*j**2 + 9*j**2 - 9*j**2 to the form q + l*j**2 + t*j and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8624\/3 - 2875. What is the biggest value in -3\/13, 2\/21, k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1\/4)\/(8\/264736). Suppose 0 = 12*o + 2465 - c. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - ((3 - 2) + (96 - 94))) + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000178609 rounded to seven dps?\nAnswer: -0.0000179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -r**2 - 1068575*r + 73736436 = 0.\nAnswer: -1068644, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -18*q + 7. Calculate w(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yrrb when four letters picked without replacement from rbbbrdrrrrbdrrdbrrry?\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of -n**5\/270 + 4*n**4\/27 - 16*n**3\/9 + 454*n**2. Factor r(a).\nAnswer: -2*(a - 12)*(a - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-1*(4 + (sqrt(7) - sqrt(42)\/(-2*sqrt(6)))).\nAnswer: 3*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/19?  (a) -2\/9  (b) -1\/7  (c) -10.4  (d) 2  (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -2*s + 3*s + 1122 - 1122. Let x(a) = -2*a. Let d(j) = -3*f(j) - x(j). What is d(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g*g**8)*g*g*g**(-1\/10))**(-35\/2) assuming g is positive.\nAnswer: g**(497\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 334\/627 + 28\/209. Let -2\/9*v**2 + 0 - w*v = 0. Calculate v.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.059 and 19.861.\nAnswer: 1.171799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 349 = 38*h + 83 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -i + 29. Let j = i - 26. Let n be (-1)\/j - ((-6)\/(-3) - 2). Which is the biggest value?  (a) -1\/7  (b) 0  (c) n  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 513 - 548. Let j = 35.00000319 + x. What is j rounded to 7 dps?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 - 208*i - 812. Let a be h(-4). Sort 109, a, -0.01.\nAnswer: -0.01, a, 109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes after 9:13 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*d = 17*d - 780. Does 26 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4927 or -4928?\nAnswer: -4927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 418, 323, 244, 193, 182, 223?\n\"Answer: 2*n**3 - 4*n**2 - 97*n + 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3692801 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from qcqjcguqbbccgq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*s**3 - 4*s**3 + 2*s**3)*(3 - 5 + 5) + (s**2 + s**2 - 8*s**2)*(-11*s + 17 - 17) to i + y*s**3 + o*s + z*s**2 and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 4486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.6421 to 2 decimal places.\nAnswer: 2.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 30802*x - 30774*x)*(3*x**2 - 3*x**2 - 3*x**3).\nAnswer: -84*x**4 - 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.232 + 0.932. Let j = -0.2 + 0. Let v = j + s. Sort v, -1\/7, -3 in decreasing order.\nAnswer: v, -1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 11) to base 9.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1839526*y + 1839533*y - 3679066*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -8*((-64)\/104 + 2256\/3328)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a - 4*a + 4*g = 154, 4*a - 253 = 3*g. What are the prime factors of a?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -52*t**2 - 2. Let h be f(-3). Let p = -259 - h. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-43 - -44) + -4 + 14 + 19?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -6*s**2\/5 + 138*s\/5 = 0. What is s?\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**2 + 1496*x + 119140.\nAnswer: 4*(x + 115)*(x + 259)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/(-2)*48\/(-72). Find the common denominator of -97\/72 and q\/(-4) - (-3317)\/(-1736).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 11*d - 9. Let p(r) be the second derivative of 0 - 1\/2*r**3 - 6*r + r**2. Determine 9*p(v) + 2*y(v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 4*b - 9. Let u be y(4). Let m(w) = w**2 - 12*w + 6. Let o be m(u). Do -29 and o have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 74 and 4551?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qzet when four letters picked without replacement from tzeqterxzxzqeqtqz?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 less than -1.885821?\nAnswer: -5.885821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together -375263 and -1.\nAnswer: -375264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12233*p**3 - 2*p**2*z**2 - 33975*p*z**2 - 2*p wrt p?\nAnswer: 73398*p - 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -6998.\nAnswer: -5\/6998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ypt when three letters picked without replacement from eyyytctttcrp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w. Let u be i(-1). Suppose 8 = -4*f, 3*f + u = -z - 2*f. What is the least common multiple of z and 13?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -640 = -5*q - g + 214, 0 = 5*q - 4*g - 859. Suppose 0 = -q*s + 174*s + 18840000. Round s to the nearest 100000.\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/9 + 154*o\/3 + 461\/9.\nAnswer: (o + 1)*(o + 461)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -98 in -3, 0.03, 1, -2\/5, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7\/((-49)\/(-3878)) - -5.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -549\/16192 - -1749991\/12095424. Let q = b + 1\/2988. Factor 13\/9*k + 7\/9*k**2 - 1\/9*k**3 + 2\/3 - q*k**4.\nAnswer: -(k - 3)*(k + 1)**2*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20560 - -20678. Suppose 1 = 4*a - 7. What is the highest common divisor of i and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -20088434 by 10044217.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-1\/5)*i)\/i**(-4))\/(i\/(i*i*i\/(i\/(i\/(i\/i**(-2))))*i*i*i)*i**(-5)) assuming i is positive.\nAnswer: i**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 93 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-113) + (-126654)\/850212.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - j + 9 = 0, 0*f = 5*f + j - 65. Calculate the common denominator of -45\/4 and (26\/(-6))\/(f\/63).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*r**3 + 38*r**3 + 6542 - 57*r**3 - 6542.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - 19 - 16. Let t be (9*(-12)\/(-42))\/(1\/z). List the prime factors of (-3)\/t - (2 - 806\/12).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.4  (b) -0.4  (c) 0.27  (d) -37333\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 4*s**3 + 5*s**2 + 4*s - 2. Let f(z) = 0*z + 7*z + 19*z**3 - 35*z**3 - 2*z + 20*z**3 - 2 + 6*z**2. Calculate 5*f(d) - 6*x(d).\nAnswer: -4*d**3 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62644358.\nAnswer: 2, 7, 1873, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**3 - 69*m**2 + 1593*m - 488. What is h(18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 609 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 71\/2 + 3\/6. Suppose -i = 3*b + m, 5*b - 47 = 5*i + 53. What is the common denominator of -83\/12 and (-35)\/i*6\/4?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1485433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -761*v + 8930*v - 222*v as r*v + z and give r.\nAnswer: 7947","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 11, v: 5}. What is prob of sequence nvvv?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.3873*-0.46257\nAnswer: -0.179153361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 1.940947 millennia?\nAnswer: 19.40947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**2 - 2*x**3 - x**2)*(66 - x - 66)*(31 - 28 + 9*x - 16).\nAnswer: 18*x**5 - 26*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 386879268?\nAnswer: 2, 3, 17, 73, 83, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3108.993 centimeters in kilometers?\nAnswer: 0.03108993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 3*n = 2491 + 1120, -2*n = 6. What is the common denominator of -4 + t\/(-192)*2 + -4 and -17\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (30 - 31)\/((-4)\/(-52))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7972*f**2 + 33437 wrt f?\nAnswer: 15944*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 2*x + 42 = 0, 5*g - 3*g + 3*x - 17 = 0. Suppose -g*o = 2*o - 450. Solve 4*j + 4 = 2*f, 8 = 5*f - j + o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -198*r + 1066 + 914 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - 3 - (-3780)\/900.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 657.4 - 657. Which is the closest to 0.02?  (a) -1\/5  (b) x  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34 + -28 + -27 + (-16 - 10)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 78416352 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16329116, 16329121, 16329128, 16329137?\nAnswer: 16329148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 49994 + 0.07?\nAnswer: 49994.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (31*r**3 + 15*r**3 - 18*r**3)*(-1 + 2 + 0).\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 27 - (-10 + (21 - -1) + -38)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 20653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-6)\/(-9) + 38\/(-12))*24354122\/(-65) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 + -12. Let u(n) = -4*n + 89. Let b be u(21). Let k be 1 + 5\/b - x. Solve -k*q = -5*q + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -191 + 194. Let i(g) = 9*g + 2. Let z(h) = 11*h + 3. Let v(m) = o*i(m) - 2*z(m). Let k(u) = -u. Give k(v(w)).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.8  (b) 1.671  (c) -1\/8  (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 <= -7652\/1389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2021\/11 - -183. Let m = u + -1\/44. Let n = -4 - -6. What is the nearest to 2 in m, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(28)\/sqrt(4))**2*-5 - (sqrt(4032))**2.\nAnswer: -4067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1124, -23, 0.4, -3 in descending order.\nAnswer: 1124, 0.4, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -2*z**3 - 3*z**2 - 14*z + 2. Let k(s) = -2*s**3 - 2*s**2 - 15*s + 1. Calculate -3*h(x) + 4*k(x).\nAnswer: -2*x**3 + x**2 - 18*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*u + 40 + 32 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) + sqrt(114)\/sqrt(6) + -5)*2 - (sqrt(19) - (-5 + sqrt(19) + (sqrt(76)\/sqrt(4) - sqrt(19))) - -1*sqrt(684)))**2.\nAnswer: 60*sqrt(19) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 245186387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 120680 is divided by 1588?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62 = -6*f - 74. Which is the nearest to f?  (a) 0.2  (b) 0.1  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2163 - 2166. What is the closest to -0.33 in 3, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 0.5, -3\/8, -3 in decreasing order.\nAnswer: 0.5, -3\/8, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 48 and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 189 * -49306\nAnswer: -9318834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of 16*h**5\/5 - h**4\/6 - 465*h**3\/2 + 3467*h**2. What is the derivative of n(m) wrt m?\nAnswer: 384*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nowki. Give prob of sequence kn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 84 and 12607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -359\/6 - -103\/12. Let p = -52 - i. Which is greater: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18012 divided by 3002\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 429*q - 343*q - 2666 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 14*a*m*v + 71420*a*m - 7*a*v + 390*a + 7*m*v + 3*v + 163 with respect to m.\nAnswer: 14*a*v + 71420*a + 7*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -57*n + 23*n + 15*n + 20*n. Let h(z) = -5*z - 3*z**2 + 5*z. Calculate b(h(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*t - 4*t - 3*t)*(0*t**3 - t**3 + 0*t**3) + (-2*t + 1 - 1)*(-t**3 + t - t).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 3*l = 5*l - 2, 3*m - 4 = -4*l. Let n be (m - 0)\/(-5 - -3). Suppose 5*s + 0*s - 5 = 0. Put s, n, 5 in descending order.\nAnswer: 5, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -32 + 35. Solve 2*u = -x - m - 4, -x + 4*u = -11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 2778*i + 64. Let m be u(12). What is m rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 288 and 0.06?\nAnswer: 287.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:18 AM and 10:33 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -9761120.75 rounded to the nearest one thousand?\nAnswer: -9761000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the second derivative of 4*x**7\/21 + 2*x**6\/3 - 3*x**5\/2 - 65*x**4\/12 - 35*x**3\/6 - 3*x**2 - 2*x + 50. Suppose v(c) = 0. Calculate c.\nAnswer: -3, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 942, 1021, 1100, 1179?\n\"Answer: 79*w + 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = 3*i + i. Let c(f) = f**3 + 6*f**2 - f + 3. What is the remainder when c(-4) is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1777 = -5*y - s, 48*y - 43*y + 3*s - 1771 = 0. What is the greatest common factor of y and 2225?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -635*d**2*f**2 - 109*d**2*f - 14*d**2 - 73*d - 59 wrt f.\nAnswer: -1270*d**2*f - 109*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2*h**2 - 2*h - 4. Let g be i(5). Suppose g = -y + 4*y. Suppose -4 = 4*f, 3*f = -4*w + w - y. Sort 1, -1, w in descending order.\nAnswer: 1, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 26 + -4. Calculate the remainder when 83 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*m + m + 3*m)*(0 + 0 + 2*m) - 41*m - 170*m + 2*m**2 + 27*m - 1 as x*m + o + q*m**2 and give x.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.051 + -90.051. Let w = -11 - k. Let s = -79.33 + w. Round s to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l - 1. Suppose 2*u = -o - 2*o, 2*o - 3*u - 13 = 0. Let q be c(o). Let p = -72 - -77. Sort p, 2, q in ascending order.\nAnswer: q, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -5359, -5353, -5333, -5293, -5227, -5129, -4993?\n\"Answer: v**3 + v**2 - 4*v - 5357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/13)*c**(-20))\/(c**(-3)*c*(c\/c**(-2\/47))\/c) assuming c is positive.\nAnswer: c**(-11071\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 0, 3*i + 26 = -a + 158. Calculate the lowest common multiple of 16 and i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1746.63 + 1728. Let z = o + 19. Let l = z - 0.3699943. Round l to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -45*f**2 + 25*f + 935. Suppose 128*l - 140 = 124*l. Let o(w) = 5*w**2 - 3*w - 104. Let v(h) = l*o(h) + 4*s(h). Determine b, given that v(b) = 0.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 359 - 358. Solve -4*u + 4*x - l + 13 = 0, -3*x = -5*u + 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28638 and 1661004?\nAnswer: 1661004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.3*0.11465.\nAnswer: -0.492995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of -556*v**3\/3 + v**2 + 10*v - 74. Let x be w(-5). Round x to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 5*m**3 - 1334*m**2 + 7*m + 11. Let l(z) = 3*z**3 - 664*z**2 + 4*z + 6. Determine -11*l(y) + 6*p(y).\nAnswer: -3*y**3 - 700*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 17 - 44 = 0. Let f be 66\/g*(-9)\/6. Sort f, 4, 3 in decreasing order.\nAnswer: 4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -105475.\nAnswer: -1\/21095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -39 divided by 671\nAnswer: -39\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 13163\/6 - -2*(-3)\/(-36). Let h = o - -843. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 172.086154 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = 2*h - 8*h. Solve -h*g + 10*g - f = -2, -f - 6 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 - 4*u**2 - u - 3. Let t(c) = -c**2 - 4*c + 10. Let j be t(-5). Suppose a - 7 = -a - h, -j*h - 5 = 2*a. Does 10 divide g(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that t**2\/5 + 1533*t\/5 - 1534\/5 = 0.\nAnswer: -1534, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -200 = 2*u - 754. Suppose -3864 = -23*j + 943. Suppose 0 = -3*i - f - 3*f + j, u = 4*i + 5*f. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 66.03576 millilitres?\nAnswer: 0.06603576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, 62, 100, 140, 182?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -194*c - 56 = -191*c - 4*a, -4*c = -2*a + 68. Let p(i) = 4*i + 2. Let x(o) = 12*o + 6. Give c*p(t) + 5*x(t).\nAnswer: -4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1203114.\nAnswer: 2, 3, 11, 18229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 + -4. Suppose -p*m + 0*m + 48 = 0. Suppose 3*b + g - 181 = 0, -4*g + 1 = -3. What is the highest common divisor of b and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14333*0.005\nAnswer: 71.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10725*q**2 - 3070*q**2 - 3091*q**2 - 4521*q**2.\nAnswer: 43*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3381, 26892, 90709, 214986, 419877, 725536, 1152117?\nAnswer: 1719774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.02 + -4.36.\nAnswer: -4.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -2*c**4\/7 + 11080*c**3\/7 - 2717546*c**2\/7 + 170515788*c\/7 = 0.\nAnswer: 0, 127, 5286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 10861715, 10861713, 10861709, 10861703, 10861695, 10861685?\n\"Answer: -r**2 + r + 10861715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of -i**6\/120 - i**5\/10 - i**4\/6 + i**3\/2 + 3*i**2. Suppose 3*x + 85 = -14*x. What is l(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 484, 3, -170, 4, 0, 40 in descending order.\nAnswer: 484, 40, 4, 3, 0, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30\/110*-1*(-176)\/24.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times -1310.237\nAnswer: -524.0948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7670 + 1?\nAnswer: 7671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -31 + 39. Suppose -j + 3*s = -f, -12 = 3*s - 0*s. Let l be (9 - (-2 - -2)) + j. Solve c + 2*y + 1 + 4 = 0, l*y + 5 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 13*z + 36. Let b be k(6). Let d = -112 + b. Solve -v - t = -0*t - 7, 3*t = -d*v + 17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.2 - 6.8. Let h = -8.06 - y. Let r = -75.3 - -75. Which is smaller: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 36 = -4*v, -2475*v + 2485*v - 88 = -3*g for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 116, 258, 480, 788, 1188?\nAnswer: 1686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 52949*d**3 + d**2 - 105935*d**3 - 14*d + 52957*d**3 in the form c*d**3 + g*d + j*d**2 + q and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 160019\/22 + -7277. What is the common denominator of l and -15\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -621 + 160501?\nAnswer: 156550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, k: 2, h: 3, i: 5, c: 1}. Give prob of picking 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-12)*675\/75.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 2*u**2 - u - 11. Let q be y(4). Let z = 157 + q. List the prime factors of z.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 8, n: 3, f: 6}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 4*z - 25 = 0, 3*z - 71 + 77 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 175022?\nAnswer: 2, 87511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/14670872 and -11\/1033160.\nAnswer: 73354360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2168 in 0, 2, -2, 4\/3, -4, 3\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 50357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -39 + 46. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3\/10 of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16 - -7. Let q = -5\/184 - 13325\/552. Calculate the common denominator of -1*-2*d\/(-10) and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the second derivative of 0*o**3 + 1\/12*o**4 - 2*o + 0 + 2*o**2. Let t(g) be the first derivative of b(g). Let y(h) = -h**2. Determine y(t(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 4 - 31040515*z + 31040460*z - 2 + 0 + 1.\nAnswer: -55*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 + 5*c**2 - 4*c + 5. Suppose -5*z - 15 = 5*q, 4*q + z + 10 = -4*z. What is a(q)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3587387 (base 9) in base 3?\nAnswer: 10122221102221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-42)*(-84)\/72.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 73.2 - 73.2. Which is the nearest to 2?  (a) -0.12  (b) -0.1  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 129.3 + -129. Let y = 25 - 29. Sort x, 1\/2, y, -1 in decreasing order.\nAnswer: 1\/2, x, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 5*r**3 - 48*r**2 - 84*r - 24. Calculate u(11).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-3*z + z + 4*z)*(4 - 4 - 2) + 0*z + 0*z - 2*z)*(-2 + 0 + 1)*(-91 - 73 - 137) to the form k*z + h and give k.\nAnswer: -1806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a. Let i(p) = -2*p**2 - 9*p - 1. What is -6*f(g) - i(g)?\nAnswer: 2*g**2 + 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 79 + -76. Suppose c = -a - 740304, 4*a - k*c + 2961176 = c. Let p = 1191299 + a. Round p to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1 and 148780?\nAnswer: 148781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of 0*r + 0 + 1\/70*r**5 + 0*r**3 + 1\/140*r**6 + 2*r**2 + 1\/84*r**4 + 1\/735*r**7. Solve u(t) = 0 for t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7302 - -7300. Let l = 39\/4 + -109\/12. Which is the biggest value?  (a) l  (b) s  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*a + 3*a - 5*a + (3 + 0 - 4 + (3 + 2 - 3)*(-1 + 2 - 3) + 0 - 2 - 1)*(3*a + 2*a - 4*a))*(-4 - 3 + 4) to the form g*a + s and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 9a2c98 (base 13) to base 16\nAnswer: 377282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*m - 6 = -139*b + 136*b, -2*b = 2*m - 4. Suppose -46\/3 + 136\/9*q + 2\/9*q**b = 0. What is q?\nAnswer: -69, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -126 or -278?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 287365 divided by -13?\nAnswer: -22105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 47862097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4300 in -1\/3, -94, 2\/57?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes after 2:30 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the second derivative of 0*d**2 + d - 1\/6*d**3 + 1\/12*d**4 + 0. Does 3 divide w(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.60942416 - 64.\nAnswer: -64.60942416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -401 - -4013\/10. Let g = x - 4\/5. Let y = -2126\/9 - -236. Which is the closest to 1\/4?  (a) y  (b) -4\/5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/3875 and -109\/23250.\nAnswer: 23250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48618 divided by 73.\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*d = -59*d + 6. What is the greatest common factor of 16 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 9:40 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 4*p**2 - 3. Let w be j(-3). Suppose -35*l + w*l = -4. Solve -v + 6*i = i - 3, l*i = 4*v - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1649*y - 2277*y + 5652 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g + 5*b - 22, 0*g - g + 2*b = 13. Let t(x) = x**3 + 7*x**2 - x - 5. Calculate t(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -8*o**2 - 4*o - 8. Let h = 33 - 28. Let n(p) = 7*p**2 + 4*p + 7. Let y(j) = h*r(j) + 6*n(j). Let y(g) = 0. Calculate g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/4*(-13)\/((-52)\/(-32)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1817844\/11457*3\/28.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (49\/(-2) - -2)\/(50\/(-100)). Let o be (-407)\/(-9) - 6\/27. Suppose -3*z - 2*z = -o. Calculate the greatest common factor of k and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(1539) - (sqrt(684) + 0) - 5*(sqrt(1216)*-1)**2*-4)*-1.\nAnswer: -24320 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -218332 (base 15) in base 12?\nAnswer: -6502b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12345094 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 117789\/(-22120) - 9\/(-8)?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/19 in 1, 4, 0.1, 218?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/22 + ((-20745)\/(-55) - -1). Suppose 0 = 2*v + 2*v - 3*c - 298, -5*v + d = -c. What is the greatest common divisor of v and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -30024, -1091 in descending order.\nAnswer: -10, -1091, -30024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 109.6639 - 2.2829. What is r rounded to one dp?\nAnswer: 107.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3256 + -253. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 0 - a**2 + 8 + 3*a - 2 + 1. Let l be p(3). Solve -l*j = -2*j - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -21*w - 2. Let a(n) = -651*n - 63. Let c(l) = -90*l + 26*l + 41 - 42. Let h be c(-1). Let y(u) = h*k(u) - 2*a(u). Let d(b) = 2*b**2. What is d(y(q))?\nAnswer: 882*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 55 = -0*c - u, -5*u = 0. List the prime factors of c.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2673127\/60 - 44551. Let l(y) = -y**3 + 9*y**2 + 13*y - 10. Let g be l(10). What is the common denominator of ((-21)\/g)\/(-1) - -2 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -231 - 102?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 4*m + 8 = 0. Calculate the smallest common multiple of (2 + 2)\/((-4)\/(-14)) and -1*m*(-1 - 9).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -7. Suppose -d = -x + 4. Suppose z + 3*z = 28. What is the lowest common multiple of x and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.2 - -1. Let o(f) = f**3 + 6*f**2 + 4*f - 5. Let q be o(-5). Which is the smallest value?  (a) y  (b) 1  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*a - 4*w - 80, 2*a + 55*w = 56*w + 23 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.6 - 0.03122?\nAnswer: -3.63122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 + -4. Let j be (((-60)\/18)\/(-10))\/((-8)\/(-6)). Which is the biggest value?  (a) j  (b) 4  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 1307 = -5*b + 415, 1383 = 4*b + u. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -54076984.388 and 1061.\nAnswer: -54075923.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 + 6*j**2 - 5*j - 5. Let h be g(-6). Suppose -24*w - 316 = -h*w. Suppose -4*z = -4*f - w, 5*z + 4*f - 407 = 5*f. List the prime factors of z.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 22838505?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7662174 by 25626.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 2*f**2 - f. Let c be h(1). Let a = -2 - c. Let x be 3\/9 + (-8)\/a. Sort 5, 4, x in descending order.\nAnswer: 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 403605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5650053 - 5650053.31000084. Let j = d - -0.31. What is j rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/36 + (-64)\/(-36). Let g(w) = 9*w**2 - 3*w**h - 7*w**3 - 3 - 3. Let t = -11 - -4. Let o(s) = -8*s**3 + 7*s**2 - 7. Determine t*g(j) + 6*o(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*d**2 + 3195*d**3 + 8*d**2 + 6*d**2 - 6340*d**3 + 3173*d**3 - 16*d**2.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**3 - 5*f**2 + 5*f - 10. Let v be h(-6). Let q be ((-14)\/8)\/(v\/80). Let a be (1\/14)\/(10\/q). What is the closest to -1\/11 in a, -1\/3, 3\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 65\/((-130)\/(-10))*2\/5. Sort -5, 0, 5, t in descending order.\nAnswer: 5, t, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1480 divided by -296.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1428 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnx when three letters picked without replacement from xnn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3336 - -3336. What is the closest to -214 in -2\/3, 2\/13, l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 5*w = -5*m - 13, -4*w = -3*m + 38. What is the greatest common divisor of 21 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence di when two letters picked without replacement from {b: 2, t: 1, w: 3, i: 1, x: 1, d: 5}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ncnc when four letters picked without replacement from ccnnccn?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (g**2 + 23 + g - 23)*(11*g - 11*g - 14*g**2) in the form h + v*g**4 + y*g + w*g**2 + f*g**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1139036 is divided by 11054?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 560 - 491. Let a be (-2)\/(4\/6) - -69. Let u = z - a. Solve 8*i - 3*i = 3*r - 6, 3*i + u = 2*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -7*x - 3. Determine k(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -7*w**3 + w**2 + 6*w**3 + 1 + 0*w**3. Let b(a) = 5*a**2 + 5. Determine 4*b(z) - 20*y(z).\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Expand (108 + 124 - 168 + (-2 + 2 + 2)*(-1 - 2 + 2))*(-5*b + 0*b + b).\nAnswer: -248*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4603*f + 120509 = -1514*f - 130883 + 41340 for f.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 1078681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*x**3 - 3548271*x**2 + 4400*x + 209 wrt x.\nAnswer: 12*x - 7096542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 3*l - 4*l + 1 - 2. Let c(n) = -n**2 + 45*n - 235. Let p be c(39). Let t(q) = -q**2 + 3*q + 3. Calculate p*t(f) - 3*g(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**2 - 315*s + 6270. Determine o(22).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/(-4))\/(8\/48). Let w be z + 24*(-8)\/(-60). Let p = 0.1 + 0. What is the nearest to p in w, 2, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -66 - -71. Suppose 2*d - 2*s = -23 - 19, 4*d + 84 = -r*s. Let y = -18 - d. Solve 0 = y*p + p - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 22.8 + -23. Let q(d) = -d**3 - 7*d**2 + 9*d + 4. Let l be q(-8). Let x be 1 + l\/20 - 1. Which is the nearest to i?  (a) 2\/9  (b) -3  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((252\/35)\/(-9))\/(54\/(-5))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from ukqmo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 22969946, 45939890, 68909836, 91879784, 114849734?\n\"Answer: x**2 + 22969941*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-74)\/20*(-15)\/(-18). Let c = -509\/132 - y. Let b = -171761\/124 - -5545\/4. Find the common denominator of c and b.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(((-459)\/(-17))\/189))\/(4\/24)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 - 3*n**2 - 2*n - 3. Let j be l(-2). Calculate the remainder when (-2 - j)\/((-3)\/(-114)) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -2*q**4\/3 - 515740*q**3\/9 + 248328*q**2 - 324740*q + 1203454\/9 = 0.\nAnswer: -85961, 1, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together 76317 and 0.2.\nAnswer: 76317.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/11, -495, -0.2, 0.54, -5, -4 in descending order.\nAnswer: 0.54, 1\/11, -0.2, -4, -5, -495","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Product of -37 and -90011.\nAnswer: 3330407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32798, -65595, -98392?\nAnswer: -131189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -205*u + 8. Let v(a) = 410*a - 17. Give -6*v(r) - 13*y(r).\nAnswer: 205*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.4 + -1.9. Let g = -168 - -1850\/11. Put d, g, -0.1 in ascending order.\nAnswer: d, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -499\/454 + -91\/227. Let s = 2.1 + -1. Which is the second biggest value?  (a) s  (b) q  (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42 is divided by (-4)\/(-18) - 2170\/(-279).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 7473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, y: 1, l: 1, p: 2, e: 3}. What is prob of picking 1 g, 1 y, and 1 e?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*b**3 + 3*b**3 - 20*b**3.\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65 = -3*l + 4*y, -20630*l + 20631*l - 4*y = -35 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 2*r**2\/9 + 18142*r\/9 + 892100\/3 = 0.\nAnswer: -8921, -150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x - 16, -7*x = l - 3*x. Calculate the highest common divisor of 100 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 251736257.\nAnswer: 7717, 32621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 55, 7, -0.3, -138?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -5454.\nAnswer: 1\/5454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, -4, -1976686 in ascending order.\nAnswer: -1976686, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1355268*t**3 - 129335*t**2 + 2*t + 3 wrt t?\nAnswer: -8131608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1551858050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1407512799.\nAnswer: 3, 7, 11, 19, 15271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 12 = -t. Let l(c) = c**2 - 6*c - 2. What is l(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of -299*t**6\/6 - 2*t**5\/5 + 505*t**2\/2 + 351. Find the second derivative of p(o) wrt o.\nAnswer: -5980*o**3 - 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1357*s + 1413*s - 560 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 - 36?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -164446*h**2. Let j(c) = -17*c**2. Calculate j(g(b)).\nAnswer: -459722277572*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 34*b - 3 - 10*b - 13*b - 9*b. What is o(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + -3.1. Let r = z - -2.1. Let o = -188 + 187.5. What is the closest to 1 in r, -1, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5089854709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.12236 - 1.87764. What is the closest to t in 2\/13, 0, 9.7, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -226 - -357. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4170 bigger than 4133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1671*i**2 - 6*i + 6*i - 1738*i**2.\nAnswer: -3409*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1036100 and 6500.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2 + 5 = 3*f, 0 = 4*f + 3*t - 4. Let i be 10\/2 - f - 2. Suppose i*h - 6*h + 1004 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 + -12. Let w = 665 - 663. Let g be -1*w\/(-44)*(-9 + 7). Which is the closest to g?  (a) p  (b) 0.5  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 145731908.7s?\nAnswer: 240.95884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 145903393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 66\/28 + 9\/(-6). Suppose -2*q + q = 0. Which is smaller: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1701 and 315?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s = 6*s + 37. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 10\/(-2) - 100\/(-26).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -144, -197, -290, -429, -620, -869, -1182, -1565?\n\"Answer: -v**3 - 14*v**2 - 4*v - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 292795?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g**2 - 28*g + 19. Give t(-16).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1067 + 1050 - (1 + 0 + 6 + -3)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.5  (b) -256  (c) -1\/3  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ds when two letters picked without replacement from dsdu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hmoc when four letters picked without replacement from {h: 5, c: 3, o: 1, k: 1, m: 1}?\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 24*((-7)\/(-56))\/(40\/(-320))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*r - r**3 + 3*r + 3*r**3 - r**2 + 9 to the form h*r + k*r**3 + l*r**2 + w and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -22.29 + 22.284754. Round x to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**36\/k**(2\/47)*(k*(k\/(k\/((k\/k**(-41))\/k)))\/k)\/(k\/k**(-14\/3)) assuming k is positive.\nAnswer: k**(10052\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**2 + 6*o - 4. Let f(z) = 2*z**3 - 3*z**2. Let r be f(2). Let g be l(r). Suppose -g*w + 5*w = 109. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1147 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110 + -1001000000100?\nAnswer: -1001000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 95\/(-15)*(-9)\/5. Let l = -11 + c. Find s such that -2\/5*s**4 + 0*s + 0*s**3 + 0 + l*s**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -44 + (545 - 529) - 34.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**3 + 13*l**2 + 15*l - 10. Let g be p(14). Suppose -2*t + g = -2*a, 0*t + 5*t - 4 = -a. Is ((-24)\/6)\/(a\/14) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26901 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -2*g. Let r(i) = -i + 1. Let b(z) = -3*c(z) + 4*r(z). Suppose -5*v + 0*p = 4*p - 11, 3*v + p = 8. List the prime factors of b(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 271*m - 158*m + 2006541. Round m to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 762*p + 549*p - 57*p - 112*p.\nAnswer: 1142*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.2 - 0.21. Let n = w + -0.39. Let b = 489 - 493. What is the second smallest value in n, b, 3\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 1 + 0)*(1199 - 46*r - 1199)*(-2 - 10 - 9) to b + w*r and give w.\nAnswer: -966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w**2 - 56609*w - 5989318 = 0. Calculate w.\nAnswer: -56503, -106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/4*(-70)\/21. Suppose -1064 = -5*z + l*q + 1031, -3*z + q = -1249. Let r = z + -230. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i - 8 = -3*i + 2*d, 0 = -i + 4*d + 16. Suppose 3*w - 45 = -0*t - t, i = -5*w + 5. Suppose -10 = 4*b - t. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) 4  (c) -77\/5  (d) -4  (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v - 10 = -4*v + 2*i, 3*i + 16 = -4*v. Let c be (-5 - v - 3) + -1. Let k = -9 - c. Which is bigger: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -447, -319, -95, 225, 641, 1153, 1761?\n\"Answer: 48*i**2 - 16*i - 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 - 7*u**2 - u - 3. Calculate the least common multiple of r(-7) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -530815480 - -0.1.\nAnswer: -530815479.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8956 divided by -18817.\nAnswer: 8956\/18817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -13 + 2 + 1 - 0\/(-10). Let a(i) = -i**2 - 10*i + 5. Let d be a(z). Solve -y = 4*y - d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 3*d**2 - 3*d + 8. Let c be a(3). Let o = c - 21. Calculate the remainder when 7 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1164 by -77.\nAnswer: -1164\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-1\/3))**(1\/7)*(f**0*f)**(-14\/5))\/((f\/(f**(6\/7)*f)*(f\/(f\/f**(-3\/7)))\/f)\/(f**(-1\/3))**(6\/11)) assuming f is positive.\nAnswer: f**(-859\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 17, 49, 89, 131, 169, 197?\n\"Answer: -i**3 + 10*i**2 + 9*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -3*r**2 - 2*r - 3. Let s be l(-6). Let d be (s\/(-44))\/((-3)\/(-8)). Let y be (27\/d)\/(1\/2). Solve g + y = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9444 is divided by 89.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 33*s = -643 + 162 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p + 2*p**2 + 0*p)*(-2*p**2 - p**2 + 2*p**2) + 3*p**4 - 2*p**2 + 2*p**2 + (2*p**4 + 3*p**4 - 6*p**4)*(1 + 2 - 5).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - z**2)*(-2*z**2 - 1 + 1) - 231*z**4 + 75*z**2 - 237*z**4 + 470*z**4.\nAnswer: 4*z**4 + 75*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 + 27*b - 26. Let s be o(26). Solve s = 3*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 4*g**2 - 38*g + 30. Let p be t(9). Suppose 5*o = -2*b, -19 = 3*b + 2*o - 4*o. Let x be (-56)\/p - -4 - b\/3. Sort x, -2, 2, 5.\nAnswer: -2, x, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the second derivative of 4*p**4\/3 - p**3\/6 - 9*p. Find the second derivative of i(o) wrt o.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hbmmmbbbmmmhmmmb. What is prob of picking 2 b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3168 and 3 + -4 + 55460\/14 - (-93)\/(-217)?\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*o = -74*o + 485. Let m(p) be the first derivative of p**2\/2 + p - 3. Determine m(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*g**2 + 9112 - 9112 + (0 + 2 - 1)*(g**2 + 0*g**2 + 0*g**2) + 2 + 2*g**2 - 2)*(0 + 1 + 0) + (5 - 3 + 0)*(-8*g**2 - 4*g**2 + 5*g**2).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(128)\/((sqrt(324) + 2*sqrt(324) + sqrt(324) - sqrt(324)) + sqrt(324))*3.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*s**4 + 0 + 3*s**4 + 1 + (-8 + 2 + 7)*(-3*s**4 + 0*s**4 + s**4) in the form a*s + o + p*s**2 + x*s**4 + l*s**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 96*(15\/(-4) - -3). Let h = k - -114. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.149495 times -0.05\nAnswer: 0.00747475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3050.81135 + -3597.882. Let a = x + 547. Round a to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*g + 34 = 184 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 32749, 32987, 33225?\nAnswer: 33463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 35*l**2 + l - 1. Let k be u(1). Suppose 0 = 3*s + 5*i - 139, s - 48 = -4*i + 10. Let b = k - s. Do b and -14\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -5 + 2*z - 4*z**2 - z**2 - 5*z. Let w(s) = -s**2 - 1. Let h be (4\/16)\/((-52)\/(-208)). Give h*j(f) - 6*w(f).\nAnswer: f**2 - 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13740582 is divided by 3615?\nAnswer: 3582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 947 - 1371. Round r to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the second derivative of j**5\/12 - 5*j**4\/8 + 103*j**2\/2 - 3*j + 17. Let u(q) be the first derivative of x(q). Factor u(n).\nAnswer: 5*n*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*i**2\/7 - 2548*i - 3568\/7 = 0. Calculate i.\nAnswer: -1\/5, 892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22002234 is divided by 207.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3733.393 rounded to zero decimal places?\nAnswer: -3733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 160281.6 milligrams in micrograms?\nAnswer: 160281600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-140)\/280*-2*3\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a9 - -8eec?\nAnswer: 8e43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (21*j**2 + 3*j**2 - 36*j**2)*(j - 3*j + j) - 64*j**3 - 30588*j + 30588*j to the form n*j**2 + y*j + s*j**3 + p and give s.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/53805037?  (a) 0.4  (b) 0.5  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6172094706?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/7, -2, 875.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 2 = -0*n. Suppose 8812 = 2*a - 3*h, n*a + 3*h - 5*h - 8808 = 0. Round a to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (175\/100)\/(6\/72). Let l be -1*(-4)\/(-2) + 16. Let t be 34\/l - (-12)\/i. Solve 0 = t*b - 5 - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-344)\/(-6)*-1*12\/(-8).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22938 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 587375964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1724.6 + 3.0037\nAnswer: -1721.5963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 121 + (67744\/29)\/(-32).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.3, 3, -4, -6, -1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-nine fifths of a century in years?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -0.3, 17 in decreasing order.\nAnswer: 17, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -467 * 7.\nAnswer: -3269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -127*r + 27 + 30 + 13 - 83 as x + z*r and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -47*u + 44 + 0*u**2 - u**2 - 44. Let a(k) = k. Determine a(t(h)).\nAnswer: -h**2 - 47*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -29a8 + -1a?\nAnswer: -29c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15706.2 + 15706. Put 3, u, 1\/2, -5\/2 in decreasing order.\nAnswer: 3, 1\/2, u, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -4*z - 8. Let r(h) = h + 1. Let x(q) = -2*p(q) - 6*r(q). Let m be x(-6). Are -3 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p + 7. Let m be d(5). Let t(s) = s**2 - 7 - 3*s**2 + 0*s**3 + 4*s - 3*s**m - s**3. Let x be t(-6). Solve -2*f + 4 = -2*b, 4*f - x = 4*b + b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1979128?\nAnswer: 2, 247391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 AM and 12:59 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 5*q - 5. Suppose -18 = -16*i + 10*i. Let m(y) = -5*y + 5. Let r(j) = i*m(j) + 4*f(j). Suppose 0 = p - 4 - 2. Let z(d) = d - 1. What is p*z(v) - r(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -461 = 1018*x - 35073 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*y + 20*y + 21 = 0. Let s = 3 - 3.4. Let i = 202 - 199. Put i, y, -0.1, s in increasing order.\nAnswer: y, s, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 - 8)*1*1. Let r(o) = -o + 498 - 534 + 3*o - 12*o. What are the prime factors of r(h)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1185462 and 27463203?\nAnswer: 164779218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2796526 is divided by 14875?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(-3\/5))\/(i**23*i))**29 assuming i is positive.\nAnswer: i**(-3422\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 597213.5ug in kilograms?\nAnswer: 0.0005972135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 8*d + 60 = 0. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6900 and 6680580?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 56163?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 67, 524, 1773, 4210, 8231, 14232, 22609?\n\"Answer: 66*k**3 - 5*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 - 10*x**2 - 124*x - 233. Calculate n(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8)\/24 + (-39)\/(-9). Suppose -3 - 61 = -h*u. What are the prime factors of 1408\/77 - (u\/7 + -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 16\/6 + (-8)\/4 + 1402898\/42 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 34869 and 26550?\nAnswer: 5230350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r. Let a be o(3). Let x = -1 + 11. Let j(z) = -z**2 - x*z + 9*z - 4 - 2*z**2 - z**3. Calculate j(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of -7*i**2 + 0*i + 0*i**3 + 0*i**4 + 1\/120*i**6 + 1\/20*i**5 + 0. What is the third derivative of l(v) wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.08895 + -250.70705. Let y = -249 - o. Let t = 0.094 + y. What is t rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -81, -218, -381, -516, -569, -486, -213?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 54826480 and 1263.\nAnswer: 54827743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -2*y**2 - 26*y - 11. Let c be z(-8). Suppose c*b - 75*b = -26238. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 45 and 82546?\nAnswer: 3714570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 52425054 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1561856 is divided by 26927?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + 2. Suppose 5*p - h + 25 = 3*t, 4*p = -16. Suppose -4*m = -9 + t. Put 5, 1, m in decreasing order.\nAnswer: 5, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/72 and -7\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12765072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q - 25 = -5*q, -2*q - 10 = 5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + 14 + -5 + -54 + -10.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -51 + 84. Let r = o + -25. Let p be (-2)\/8 + (-194)\/(-8). What is the greatest common divisor of r and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r - 6 - 0. Let t = r + 5. What is the second derivative of -t*n**4 + 4*n**4 + n - n**4 wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -1)*517\/5499*-13.\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -27 divided by 46299\nAnswer: -9\/15433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 188*y + 232 = 246*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*(t\/(t*t\/((t\/(t\/(((t*(t*t*t*((t*t\/(t\/(t*t**(-3\/10)\/t))*t*t)\/t)\/t)\/t)\/t)\/t)))\/t))*t)\/t*t*t)\/t**(-50))\/(t**(2\/17))**(-21) assuming t is positive.\nAnswer: t**(9549\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-5) + 3\/(-10)*(-328)\/123. Solve b = -4*k + 14 - 38 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 823 divide 997883328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 251201.\nAnswer: 251201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7, -91, -349, -877, -1771, -3127?\nAnswer: -5041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2677050455 and -5.\nAnswer: 2677050450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 - -9.7. Let j = 0.68 - 0.08. Let b = z + j. What is the third biggest value in 0, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eight thirds of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 82 and 15498?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -211 + 101200010020010?\nAnswer: 101200010012022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 + -11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/3 + 10\/3. Let t(o) = o**2 - 4*o + 1. Let z be t(k). Let r be z\/8 - 1\/(-4). Solve r = 3*u - 2*u + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -42*x**2 - 14*x**2 + 163*x**2 + 2*x**2. Let a(i) be the second derivative of i**4\/6 - 3*i. What is a(p(s))?\nAnswer: 23762*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (-1 + (-64 - -6)) - (-1 - -2) - -1?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-5)\/6)\/(2\/(-12)). Suppose 0 = d*g - 22 - 68. List the prime factors of (-1484)\/(-36) + (-4)\/g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 59557691?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4613954.\nAnswer: 2, 2306977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(180) - (2*sqrt(225))\/sqrt(5))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7.1 + -0.1. Let s = -6 - -4. Let q = s + h. Sort q, 5\/3, 0.5.\nAnswer: 0.5, 5\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*k = 11*k + 92 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14.2 + 14. Put -1\/3, 0.3, i in increasing order.\nAnswer: -1\/3, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 170198249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 + 4*q**2 + 2*q + 6. Let f be z(-4). Let x be 4 + f - (-4 + 4). Let g = 16 + x. What is the remainder when 41 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = 4*l, 36*l - 24 = 2*p + 40*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -34 + -3 + (-32 - -72) + -16.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -2*q**2 + 18*q. Let v(b) = 4*b**2 - 31*b + 48. Let m be v(6). Let n(d) = -d**2 + 9*d. Determine m*l(h) - 14*n(h).\nAnswer: 2*h**2 - 18*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 + 16*x + 4. Let b be u(-4). Suppose -2*h = -z + 695, -b*h = -4*z - 9*h + 2780. What are the prime factors of z?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 4 = 0, -2*y + 4*y + 5*p - 18 = 0. Put y, -9, 3 in descending order.\nAnswer: 3, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d. Let i(p) = -20214719*p**2. Give r(i(o)).\nAnswer: 20214719*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1567066, -1567132, -1567196, -1567258, -1567318, -1567376?\nAnswer: -1567432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 8*i + 37. Calculate z(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**11\/(i*(i*i\/(i*i\/i**(-32))*i)\/i) assuming i is positive.\nAnswer: i**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.009080623 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3 + 21001*n**2 - 139957600*n + 286437070548.\nAnswer: -(n - 8534)**2*(n - 3933)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 169 or 3?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 110038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 249011.\nAnswer: 7, 35573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/456 and ((17\/(-6) - -3) + 572\/32472)*3?\nAnswer: 18696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 67621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 82564 + ((-2)\/10)\/(5\/(-225)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12189 + -11617.9. Let j = y + -572. Which is the third biggest value?  (a) -0.1  (b) j  (c) 4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(3) + 3 - sqrt(3)) + 1 - (sqrt(192) + -1))**2 - (-3 + -1*sqrt(3) + -2 + (sqrt(3) + 1)**2*-6 + 5).\nAnswer: -410 + 173*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-565239)\/(-58) - 10\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 4*j = 286963, 3*d = -2*d + 3*j + 478320. Suppose 0 = m, -5*s + d = -3*m + 13926. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(2 + (2 + sqrt(931))*2) + 4.\nAnswer: 22 + 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8 + 0 - (6 + -4). Suppose -b*h + 5 = -h. Is (0 - (2 - h)) + 14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24759 = -4*r + 5*i - 1714, 0 = 3*r + 5*i - 17240. What are the prime factors of r?\nAnswer: 5, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h - 49993*h**2 - 39*h**3 + 100140*h**2 - 2*h - 50060*h**2.\nAnswer: -39*h**3 + 87*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.1 - 1.2. Let t = 38 + -34. Let g = 0.4 + -0.1. Which is the closest to -0.2?  (a) t  (b) g  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of r**4\/24 - 2*r**3\/3 - 98*r**2. Give m(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.0069  (b) 13  (c) 14\/3  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/704 at least -13213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 59901561701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3580, -8700, -13796, -18868, -23916?\nAnswer: -28940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-43)\/(-5) - 3\/5. Let s(c) = -c**3 + 5*c**2 + 3*c - 5. What is the lowest common multiple of s(5) and d\/(-2 + (-20)\/(-8))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 36, 112, 230, 384, 568, 776, 1002, 1240?\nAnswer: 1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1062 and 56522?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 v, and 1 h when three letters picked without replacement from xeheehveeevee?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 969736025\/1278 - 758792. Calculate the common denominator of v and 127\/1278.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 3 = 3*g, 4*g - 5*g = -5*i + 14. Let j(x) = -12*x**2. Let q(b) = b**2. Give g*j(s) - 3*q(s).\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x**2\/5 - 438141*x\/5 - 87628 = 0 for x.\nAnswer: -438140, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-1) - (2 - 2). Let m = 35689\/12 - 2978. What is the common denominator of m and (q\/8)\/(4\/568)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (-122)\/((-46848)\/3312)\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 3, j: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 124 and 4729832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8\/(-5)*(-55)\/(-154). Which is the closest to -1?  (a) 1  (b) m  (c) -0.77  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*o - o + 3*o)*(-4*o**3 + o**2 + 3*o - 5*o**3 + 11*o**3) to a*o**3 + c*o**4 + d*o**2 + w + x*o and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -634 or -226\/3?\nAnswer: -634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 140 or -1221?\nAnswer: -1221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 22*f + 1013. Let h be p(-46). Which is smaller: 2\/19631 or h?\nAnswer: 2\/19631","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4112113014 (base 5) to base 12.\nAnswer: 2950a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -10  (b) 354  (c) -245\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 350 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 21\/(-28) - (-10)\/(-8) - -18. Suppose 2*f = -x + 20. Suppose -f*p = -35 - 99. Calculate the remainder when p is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 16) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2, -341, -4, 20, -3, 2 in increasing order.\nAnswer: -341, -4, -3, -2, 0, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + (-26 - -11) + 2 + -13 + -12.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k + 9. Let g be w(-3). Let l(c) = 7*c**2 + g*c**2 - 14*c**2 + 3*c**2. Let p(d) = -2*d**2. What is p(l(y))?\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from vvbvyvvvyv.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 883514362 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 - 10*r**2 + r + 2. Let n be a(10). Let s = -9 + 14. Solve -5*w + 20 = 0, -2*i + s*i = 3*w - n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8*c - 6*c + 0*c)*(-11 - 6*c + 11) + (-2*c + 8*c + 7*c)*(3*c + 4*c - 9*c) to p + m*c**2 + y*c and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-3) - (3 - 2). Let d = -2.1 - -2. Put s, d, -1\/4 in descending order.\nAnswer: d, -1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, 3\/2, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from vvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 74 = 26. What is the greatest common factor of 25 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6423191 to the nearest integer?\nAnswer: 2534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 412619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2549, -2916, -3297, -3692, -4101, -4524, -4961?\n\"Answer: -7*d**2 - 346*d - 2196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ieeeiee.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 - 23. Let j be ((-14)\/6)\/(h\/(-36)). Let x(f) = -f**3 - 5*f**2 + 6*f. Does 15 divide x(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2434, -2437, -2442, -2449?\n\"Answer: -g**2 - 2433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9363*f*u**5 + 3*f*u**2 + 3049*f*u - 3*f + 3494*u**5 - 2*u - 2 wrt u.\nAnswer: 561780*f*u**2 + 209640*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2*y**2 + 4*y. Let b = 20 + -17. Let p be j(b). Let s = 36 + p. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -2 + -29 + 46 - 7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (208*s + 924 - 1815 + 887)*(s**4 + 0*s**4 - 3*s**4).\nAnswer: -416*s**5 + 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 24775 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 162*y + 149*y - 511*y.\nAnswer: -200*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-455)\/(-2205) - 6*(-4 + 285\/70)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 5*d - 20 = 0, -3*c + 22 = -c - 4*d. Let z be (-4)\/(20\/(-68501)) + (-1)\/c. Suppose 2759 = -3*f + z. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 + 1d44?\nAnswer: 1d45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the first derivative of 6\/5*i**2 - 2 - 4\/5*i + 7\/15*i**3. Determine y so that q(y) = 0.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j*j*j*j**1)**13*(j*j\/j**(1\/4)*j)**(-20\/7))**12)**(-4) assuming j is positive.\nAnswer: j**(-19200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 238769 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 2\/7*q**2 + 2888\/7 - 152\/7*q = 0.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 105707305.\nAnswer: 5, 11, 149, 12899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 0 - 5\/2*f**3 + 0*f**2 + 10*f = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 2*a = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (23\/(-46) - 1*-1)*-4. List the prime factors of 10892\/168 - o\/12.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 - 1210?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times 16821?\nAnswer: -84105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (8\/(-14))\/(2\/(-14)). Suppose 0*u - 4*u = -144. What is the greatest common divisor of u and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xwwwxxwwxxxxww.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13171713 - -13171712.68000058. Let f = -0.22 - 0.1. Let t = w - f. What is t rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 2  (c) 5  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.60034 months in centuries?\nAnswer: 0.01716695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -242*c**3*h*r**2 - 2*c**3*r + 3*c**2*h + 2*c*r - 5*h wrt r?\nAnswer: -484*c**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*g + 42252 - 44650 - 102872. List the prime factors of g.\nAnswer: 3, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**2 - j. Let s(d) = d**2 + 5*d + 2. Let b(r) = -4*g(r) - s(r). Let c be 1*(-16)\/4 + 2. Determine b(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 5, 0.1, 1\/51, 6\/7, 1 in descending order.\nAnswer: 5, 1, 6\/7, 0.1, 1\/51, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (-1 - 13) + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 166, 537, 908, 1279, 1650?\nAnswer: 2021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1.736815*-0.1\nAnswer: 0.1736815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.01561 and 22.\nAnswer: 22.01561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + -1 + (-22 - (-25 - 1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/111, 0.15, -1?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + f - 3348 = 0. Is 9 a factor of ((-48)\/(-64))\/(1 - 1113\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -22510222 divided by 7?\nAnswer: -3215746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 426996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.82 * 70971.35.\nAnswer: 58196.507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2405826268 to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 472034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/60 and -50\/9?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-551*v**4 + 76342 - 187*v**4 + 10*v**2 - 76341)*(-2 - 1 + 2)*(-6*v + 3*v + 2*v).\nAnswer: -738*v**5 + 10*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/6, -12, -332, -2\/3, 5, 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -298.2 and -4?\nAnswer: 294.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-4) - ((-650)\/40 + 20).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*c + 17*c - 20 = 0. Solve 0 = -s - 7 + c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/16764 and -37\/20955?\nAnswer: 83820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4193 a factor of 572642203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 668 (base 11) to base 13.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 3 = -18032*c + 18035*c + 11, c = 31*u + 27 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, 3, 8, 19 in decreasing order.\nAnswer: 19, 8, 3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18 + 28. Let l be (-1 + 0)*(-37 + 14). Let u = l + -14. Is j less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 - 4*c**2 + 8*c. Let g = 9 + -33. Let s = 28 + g. Let y be w(s). Solve 6 = -3*o, y = -5*f - 3*o + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 65948 - 65959. Suppose 30 = -2*q + a, q + 5*a - 38 = 3*q. Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -465 divided by 31.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 - h**2 - h - 1. Suppose 4*r + 9 = 2*n + 15, -3*n = -r + 14. What is y(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 34 + -30. Let h be (r - -162 - 4)\/(0 + 1). Suppose -d - h = -1343. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, -1\/4, -9\/4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1834*c*j**2 + 2*c*j - 3*c + 211115*j**2 - 773*j + 31458 wrt j?\nAnswer: 3668*c + 422230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j*j\/(j**3*j))\/j)\/j)\/j)**(-19)\/((j\/j**(-1\/3))\/j*j**(-3\/16)\/j) assuming j is positive.\nAnswer: j**(4601\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/(r*r\/(r*r**(2\/23)*r)*r)*r**(-20)*(r**(-5\/4)\/r)\/(r*r\/(r*r\/r**(-12))) assuming r is positive.\nAnswer: r**(-935\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/19, 2, -0.4, 90, -5\/6?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 + 4*l**2 - l. Calculate the lowest common multiple of v(-2) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 267 = -5*n - 8, 3*n = y - 157. Suppose 1 = 5*s - 19. Suppose -s*r + i - 82 + 595 = 0, -r + 3*i = -y. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**2. Let y(r) be the third derivative of -7*r**4\/12 + 45*r**2. Calculate y(z(n)).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a**2 - 137040630*a = 0. Calculate a.\nAnswer: 0, 45680210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -0.4027\nAnswer: -1.2081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 94253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 55112985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**3 - 24500*c**2 + 1134935*c - 13082170.\nAnswer: -5*(c - 23)**2*(c + 4946)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = -370 - 236. Let n = l - -170. Differentiate -5*c + 81 + 4*c - n - 5*c wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -m**2\/2 - 11071*m + 22143\/2 = 0. What is m?\nAnswer: -22143, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 570861871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -32 + (17 - (3 - (29 + -57))).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2\/1285, -1, 3, -1\/3 in decreasing order.\nAnswer: 3, 1, 2\/1285, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1245*i = 3*a + 1250*i - 1259, 1257 = 3*a + 3*i. Suppose 0 = -2*s - 3*s + 110. What is the greatest common divisor of s and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b = -443 + 498. Let i(n) = n**2 - 5*n + 2. Let y be i(b). Solve 17 = -5*m - 4*q, y*q - 3*q = 3*m + 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -342499\/3483 + 4\/3483. Let n = s - -99. What is the nearest to n in 4, 5, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000008140384 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 16\/(-10) - (-24)\/40. Let o(d) = -3*d**3 + 2*d**2 + 2*d + 1. Let h be o(x). Suppose 2*k = h*k. Solve k = t + 6 - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l - 110 = -2*l. Solve -l = -76*r + 74*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 2*p**3 - 57*p**2 + 390*p - 7. Let r be y(6). Are r and 711 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*b + 11*b - 6*b + b as u*b + t and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 172, -139, 23 in descending order.\nAnswer: 172, 23, 2, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 2*z + 52. What is the remainder when t(0) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w**5\/5 + 672*w**4\/5 - 4172*w**3\/5 + 792*w**2\/5 + 16768*w\/5 + 11136\/5 = 0 for w.\nAnswer: -174, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (13*-3 - 2)*-1. Let s = 42 - g. Let d be s\/(-6)*(-9)\/(-4). Sort 8, 0.2, d in increasing order.\nAnswer: d, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27633*h**3 + 9*h + h - 27688*h**3 - h + 2*h - 9*h.\nAnswer: -55*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 337\/226 + 1\/113. Let v = 0.09 + -0.1. Let x = v - 0.49. What is the nearest to 0 in x, n, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -788*c. Let x(r) = -3*r**2 - r. What is q(x(f))?\nAnswer: 2364*f**2 + 788*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 5}. Give prob of picking 3 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 - 4*j**2 + j + 2. Let q be -2 + 5 - 0\/(-3). Suppose -2*d - 24 = -4*u, -4 = 4*u + q*d + 2*d. Give c(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes after 3:52 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2263198422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -37*o**3 + 2477*o**2 - 2474*o - 4943. Let a(y) = 245*y**3 - 17335*y**2 + 17320*y + 34600. Let b(m) = 3*a(m) + 20*x(m). Factor b(z).\nAnswer: -5*(z - 2)*(z + 1)*(z + 494)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/(-7) - (1 - (-78)\/(-14)). Let i(h) = 68*h + 15. Let u be i(q). Suppose -5*c + 5*m = -435, 4*c + 2*m + m = u. Is c a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 - (6\/14 + (-530)\/(-70)). Put c, -13, 29 in decreasing order.\nAnswer: 29, c, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 51 + -49. Let t = 1 + l. Solve 4*h = h + 2*v + 6, 3*h - v = t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 68282188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 44519, 178209, 401025, 712967, 1114035, 1604229?\n\"Answer: 44563*u**2 + u - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {s: 1, c: 3, p: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 247169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1110011 + 1000020202?\nAnswer: 221210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 51 - 45. What is the derivative of 10*a**4 - 1 - 2 - 6*a**4 + v*a**4 wrt a?\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-78)\/(-3))\/(((-36)\/216)\/(2\/(-24)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 52 and -589972?\nAnswer: -30678544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 2) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-3)\/5 - (-124)\/(-140)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 94076368?\nAnswer: 2, 17, 345869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a405 (base 14) to base 6.\nAnswer: -334405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 141*n. Let u(z) = 35*z. Give p(u(l)).\nAnswer: 4935*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2849 is divided by (0 - (-1)\/(-2))\/(-57 + (-116212)\/(-2040))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 2*w - 0*w + 1415541, -5*j + 3538850 = -5*w. Let i = 167769 + w. Round i to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aumumaaannaaaaamau. Give prob of picking 3 m and 1 a.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.4*34.\nAnswer: 81.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {g: 3, b: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-66)\/(-14) - 0) + -5\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4780)\/(-1434)*(-18)\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 16, 4*t - 2*t = -5*k - 767. Let r = k - -155. Solve s - 4*s = r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35, 19, 107, 229, 385, 575?\nAnswer: 799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 6*m**2 + 9*m - 8. Is w(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 111012\/108 + (4\/(-36))\/(-1). Let l = o - 441. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -2*x**3 + x**2 + 183*x - 5. Let o be u(0). Which is the smallest value?  (a) 3  (b) 0.5  (c) -2  (d) 9  (e) o\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**3 - 10*j**2 - j + 14. Let l be p(10). Suppose i + y - l*y = 3, 4*y = 0. Solve 5*f - i*f - 8 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -255704 + 2?\nAnswer: -255702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -124 - -152. Calculate the lowest common multiple of n and 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - -1221?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 134398157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 2*i**3 + 330*i**2 + 328*i = 0.\nAnswer: -164, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 PM and 6:42 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 0 - 10*l + 6 + 7*l. Let r be q(2). Solve r = 3*v + v + 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 PM and 12:44 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r + 3*r + 5*s - 285, -2*r - 5*s + 123 = 0. Suppose 3*u + r + 6 = 0. Calculate the remainder when 37 is divided by 134\/10 - (-8)\/u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrrrrdrddrrrrdrrdkk. Give prob of picking 1 k and 2 d.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {b: 3, m: 4, c: 1, s: 3, i: 1, y: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 1563*r**3 + 4*r**2 + 2*r + 16. Let o be q(-8). Round o to the nearest ten thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 4, -2\/21, -21\/5, 2\/5, 1.17?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33500834?\nAnswer: 2, 23, 61, 11939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 588303 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.486 + -0.986. Sort 363, -2, l in ascending order.\nAnswer: -2, l, 363","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**2 + 7*g - 5. Let v be i(2). Suppose 7*x - v*x = 178. Calculate the remainder when x is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 255124.\nAnswer: 2, 63781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -3*x + 32. Let q(c) = c**3 - 9*c**2 + 9. What is the smallest common multiple of q(9) and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 divided by 33?\nAnswer: 166\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 2 s when four letters picked without replacement from {o: 3, r: 5, i: 4, t: 3, s: 3}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2637 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - 10.7. Let n = 43\/180 + 1\/90. Let u be (-8)\/6*3\/(-34). Which is the nearest to 0.1?  (a) f  (b) n  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((759\/46)\/(-3))\/((-12)\/48)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23790, -47536, -71276, -95010, -118738, -142460, -166176?\nAnswer: -189886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 23596991 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.108 - -58.108. Let x = -57.6 + j. What is the fourth smallest value in x, -0.5, -5, -1\/10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 2*v - 5 = 0, 5*a - 35 = -4*v - 4. Suppose 36 = -0*c + a*c. What is the units digit of (-1 + 44\/12)*c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 5*l - 30, -15*l = -18*l + r + 10. Let g(q) = 27*q - 3. Give g(l).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -4*i**3 - 732*i**2 - 29952*i + 331776 = 0?\nAnswer: -96, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 80 less than -108?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yycyyyc. Give prob of sequence ycyc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3 - (-2 + 10))\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -43115\/8 or 1210?\nAnswer: 1210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 88917.88 micrometers in millimeters?\nAnswer: 88.91788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7798 - 103*h - 7798 + (-1 + 1 + 1)*(4 - 4 + 2*h) - h + h - h + 2*h + 1 - 1.\nAnswer: -100*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = 18*s + 56933*d - 56930*d, s = -d - d - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3795040353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -37 - 7041*h**2 - 26*h + 7015*h**2 + 26*h as d + c*h**2 + s*h and give d.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2036 - 1896. Solve 5*h + 135 - a = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 72 = -5*l, -17*o + 92 = -13*o - 9*l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2167397459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 10001320 rounded to the nearest 10000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 29153, 58305, 87457?\n\"Answer: 29152*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -20 + 25. Suppose 0 = u*x + 1 - 6. Let c be x\/(-4)*-2*8. Solve -m + 7 = -2*d, c*m - 2 - 6 = 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - 66\/(-6))*1\/17.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7.19 - 4.69. Which is the second biggest value?  (a) -1\/3  (b) 6  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -560\/57489?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -1705081.7 to the nearest one thousand.\nAnswer: -1705000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4\/13, 0.4, -7, -0.2, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -6, 13, 3\/7, 623, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 10020000222002 (base 3) to base 7\nAnswer: 20363351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1887)\/333*(-4)\/(8\/6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122*w - 44 = -133*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 779 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*z = -14*z + 24. Let w be 72*2\/(-24)*z. Calculate the highest common divisor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7051628.\nAnswer: 2, 1762907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -69*p + 797*p**4 + 198*p + 2*p**2 - 23*p + 1 + 222*p wrt p.\nAnswer: 19128*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0, 4, 16, 59 in descending order.\nAnswer: 59, 16, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -111001 (base 2) in base 7?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 48 = -4*k, 0*k = -k + 3. Suppose -5*t = -5*v - 62 + 162, -2*t - 2*v = n. What is the units digit of 21\/(-2)*10\/t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the first derivative of -2*p**7\/105 - p**5\/15 - 2*p**2 - 2. Let t(o) be the second derivative of j(o). What is the third derivative of t(z) wrt z?\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 73 = 2*t - 17, 3*t - 8 = -p. Calculate the remainder when 23 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand q**2 + 5 - 5 + (-11 - 8 - 35)*(-4*q**2 - q**2 + 6*q**2).\nAnswer: -53*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*j + 3447 = -2469. Suppose 0 = 32*l - 34*l + j. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/33, 0, -2\/17, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 + 10*k**2 + 2*k + 15. Give c(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 245497, 245510, 245531, 245560, 245597, 245642, 245695?\n\"Answer: 4*t**2 + t + 245492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5688 is divided by 580?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -208207  (b) 4  (c) -2\/119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -9*t**2. Let w(a) be the second derivative of a**4\/6 - 4*a. Calculate w(r(l)).\nAnswer: 162*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1226796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-33)\/(-44))\/((-15)\/2).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 414 + -415. Let n(w) = -6*w**3 + w**2 + 2*w + 1. Determine n(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) -0.3122  (c) 2  (d) -2\/3  (e) 3\/4  (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7800\/2080*(-1)\/(-3).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -135*h**4 - 1755*h**3 + 3870*h**2 - 2660*h + 600 = 0.\nAnswer: -15, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3362119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 8620*v - 94757. Give w(11).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 169716132 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -d40 + 3?\nAnswer: -d3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 50723526 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -113 - 454510?\nAnswer: -454623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.3  (b) -5  (c) -3  (d) 10  (e) -3\/5  (f) -0.0274  (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5 - (-2 - -3)) + 0. Suppose 12*i + 7 = 31. Put i, 22, 0, a in decreasing order.\nAnswer: 22, a, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:26 PM and 4:26 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 5*c = -21, 0 = c - 3*c - 6. Let m(t) = 5. Let r(w) = 6. Let d(y) = a*r(y) - 7*m(y). Let u(p) = -p + 6*p - 3*p. What is -d(b) - u(b)?\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 120, 126, 144, 180, 240, 330, 456?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2314, -2315, -2316, -2317, -2318, -2319?\nAnswer: -2320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 59.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of -16*q**6\/3 + 48*q**5\/5 + 7*q**4\/2 - 46*q**3\/3 + 9*q**2 - 2*q - 1. Find r, given that p(r) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 88 and 15860515?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3743632 to the power of 1\/2, to the nearest integer?\nAnswer: 1935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j + 3*j - 2*j**4)*(-4*j + 2*j - j) - j**5 - 2*j**4 + 2*j**4 - 13084*j**5 - 13108*j**5 + 26145*j**5.\nAnswer: -42*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 - 9. Let k(w) = -w - 2. Let x be k(-6). Suppose n = -m + x*m. Which is smaller: m or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of -2*n**7\/105 + 29*n**6\/150 - 67*n**5\/100 + 67*n**4\/60 - 29*n**3\/30 + 2*n**2\/5 + n - 131. Determine z, given that i(z) = 0.\nAnswer: 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13*f**3 + 1833*f**2 - 2*f - 748094?\nAnswer: 39*f**2 + 3666*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -634676*c**5*w**3 - c**5 - 122324*c*w - 8*w**3 wrt c?\nAnswer: -12693520*c**3*w**3 - 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -34 and 3159.\nAnswer: -107406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -33333, -33982, -34631, -35280, -35929, -36578?\n\"Answer: -649*j - 32684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9 - 330?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 7800 = w + 7806, 4*k = 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -940, -2445, -4960, -8491, -13044, -18625, -25240?\n\"Answer: -k**3 - 499*k**2 - k - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 4*y = 16, -5*r + 151 = -4*y + 183 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6269562 and 338.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -j**3 - 2*j**2 + 842*j - 7364?\nAnswer: -3*j**2 - 4*j + 842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**2\/15 + 98*d\/5 - 292\/15 = 0 for d.\nAnswer: 1, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94*i + 92*i = -2508. Is i a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p - 1. Let u be q(0). Let o(n) be the first derivative of n + 1. Let f(i) = -2*i - 5. Suppose 2*r = -4*s - 16, 5*r - 3*r = -4. Give s*o(k) + u*f(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 605 + -122. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -61 - -61.1. Let r = 1\/1425 - 1429\/5700. What is the smallest value in r, 0.03, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -243*g**2 + 243*g**2 - 6*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 108\/50436*(2 + -1). Let a = 2333\/934 + k. Factor -a*u**2 + 0*u + 0.\nAnswer: -5*u**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*z**4 - z**4 - z**4 + 34*z**5 + 7*z wrt z.\nAnswer: 680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58126463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -1 + 0 + 10 + 4*l. Let k be n(7). Suppose -d = 4*r - k, -49 = -3*r - 5*d - 0*d. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 31, -1433, -5\/4, -0.082, 3.\nAnswer: -1433, -5\/4, -0.082, 2, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -27 + 38. Suppose -5*m = -3*k - a, 0 = k - 4*m + 1 - 2. Let b = k + 20. What is the remainder when 23 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 887 a factor of 76253519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18178 is divided by 564?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -1 + 2 + t + 1. Let c be w(4). Solve 2*m + 3*j - 3 - c = 0, -2*j = m - 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 g, 1 u, and 1 m when four letters picked without replacement from {v: 5, u: 1, g: 2, m: 9, w: 1}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 153932 and 42.\nAnswer: 3232572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -82498995 divided by -445?\nAnswer: 185391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**3\/9 + 274*f**2\/3 - 5440*f - 883200.\nAnswer: -2*(f - 240)**2*(f + 69)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*m**2 - 2*m**2 + m**2 + (0*m - 3*m + m)*(-1214 + 96*m + 1214) + m**2 + 1 - 1 in the form d + n*m**2 + v*m and give n.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000984485 rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5510\/570 - 30\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 4 - 17 - -30?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6\/(-4))\/(-5*12\/(-560)). Let i be 4\/(-7)*833\/q. What is the greatest common factor of i and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2843424?\nAnswer: 2, 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -m**2 - 282643*m**3 + 565291*m**3 - 282643*m**3 - 1 as z*m**2 + j + n*m**3 + g*m and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 179*g**3 - 4*g**2 - 3*g + 37. List the prime factors of x(3).\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence beee when four letters picked without replacement from ebbeeeeb?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 643967 is divided by 128223?\nAnswer: 2852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 8, -2\/5, -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 93, 93, 95, 99, 105, 113, 123?\n\"Answer: f**2 - 3*f + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (29082*y**2 - 52*y + 13 - 29083*y**2 - 2*y)*(1 - 1 - y**2).\nAnswer: y**4 + 54*y**3 - 13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:36 AM and 5:48 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8.78 + 9.78. Which is the nearest to -0.2?  (a) -0.3  (b) 13  (c) z  (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6200 divided by 31\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 150834240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81497 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {z: 1, p: 12}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -2*s**2\/5 + 282665612*s\/5 - 9987481025916818\/5 = 0.\nAnswer: 70666403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -64927 - -213749799?\nAnswer: 213684872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 35288510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17 - -18. Let m = -6462\/35 - -926\/5. What is the third biggest value in z, m, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-151)\/302*((-3)\/3 + 11). Which is the closest to i?  (a) -0.5  (b) 4  (c) 0.073  (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1594 + 1598. Let l(z) be the second derivative of -5\/3*z**4 + 9\/5*z**5 - o*z**2 + 0 + 6*z - 6*z**3 + 14\/15*z**6. Factor l(q).\nAnswer: 4*(q - 1)*(q + 1)**2*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = -f - 2*i + 9, 24 = 5*f + 3*i. Suppose 3*z = -5*o + 544, -3*o + 223 = -o + f*z. List the prime factors of o.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 170 - 22. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121.4732um in meters?\nAnswer: 0.0001214732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -8578983*0.01\nAnswer: -85789.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 33, 7.6, 12, -4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert a (base 13) to base 15.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (62\/888)\/(1\/33). Let y = -2\/37 + t. Calculate the common denominator of -46\/7 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2417  (b) 0.2  (c) 1  (d) -1  (e) 16  (f) -1\/4  (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4488 and 145794?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*u + 7 = -42 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10 + -10. Let g = 3 + -2. Let p = 2 - g. Which is the closest to d?  (a) p  (b) 3  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71892 times 16?\nAnswer: 1150272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*h - 1)*((27*h - 10*h + 5*h)*(-4 - 2 - 4) - 7 - 4*h + 7).\nAnswer: 448*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhah when four letters picked without replacement from {a: 7, h: 7}.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + -6035601?\nAnswer: -6035565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 10\/(-15) - (-62)\/3. Solve -7*t + 2*t + q = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 41, 22, -25, -112, -251, -454, -733, -1100?\nAnswer: -1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 254310 and 22260.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -2*f - 347*q + 346*q, 3*f - 1 = -4*q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 12 - (-22)\/220*15\/57*-452. Factor -4\/19*x**2 + 40\/19*x - 48\/19 - a*x**3.\nAnswer: -2*(x - 2)**2*(x + 6)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22 times 289292\nAnswer: -6364424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 118 a factor of 5460686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 + 4*s**2 + 5*s + 14. Let m be u(6). Calculate the common denominator of (0 - -5*m\/(-36)) + 3 and 67\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -43 - -103. Calculate the highest common factor of w and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 693 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f**2\/2 + 15986019*f - 85184267822787\/2 = 0 for f.\nAnswer: 5328673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8332\/2123 + -3\/193. What is the common denominator of -46\/31 and t?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 470345.8 nanometers?\nAnswer: 0.0000004703458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 + (-2 + 632)\/7. Suppose 36*m - a = 340. Solve 2*h = -h + 12, b = 2*h - m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37, 241, 793, 1867, 3637, 6277, 9961, 14863?\nAnswer: 21157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -107534175 + 2?\nAnswer: -107534173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 68355 and 1295?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 75, -218, -3, 3 in decreasing order.\nAnswer: 75, 3, -3, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 23\/8 of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 6*k**3 + 3*k**2. Let w(j) be the third derivative of -j**6\/120 + 4*j**2. Let i(c) = 3*w(c) + y(c). Find the third derivative of i(q) wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 + 17. Let t be g*2 - (8 - 6). Suppose 0*a - 3*a + 2*y - 21 = 0, -y = -3*a - t. Let u(c) = c + 12. Determine u(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 + -12. Suppose 19 = -j + m*g - 8*g, 3*j + 3*g - 3 = 0. Let c be (77 + -29)\/(0 - j\/(-4)). Calculate the greatest common divisor of c and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 71 by -4914.\nAnswer: -71\/4914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 plus -751.56687741?\nAnswer: -753.56687741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -24, -5, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -3096*i**3 - 22*i**2 + 3*i - 1409. Let y(r) = -2*r**3 - 7*r**2 + r. Let b(j) = p(j) - 3*y(j). What is the third derivative of b(q) wrt q?\nAnswer: -18540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 287835734.\nAnswer: 2, 143917867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/11  (b) -1  (c) 10  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14, -28, -42, -56?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -129.19971, 1, 1\/4.\nAnswer: -129.19971, -2\/9, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from skkkkkksk. What is prob of sequence kssk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8 - -5. Let o(s) = -s**3 + s + 3. Let t be 3 + (1 - -3) + -4. Let h(z) = -3*z + 2*z - z**t + 5 + 4*z - 2*z. What is c*h(b) + 5*o(b)?\nAnswer: -2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(78)*-1)\/(sqrt(216)\/sqrt(4)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * -232.4.\nAnswer: -46.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = g + m, -15*m = -2*g - 16*m - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -11*r + 2 - 2*r**2 + 3 + 7. Suppose 5*c + 11*c - 2*c = -84. What is the smallest common multiple of t(c) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 2*c - 3*c - 223, 2*c - 104 = -2*o. Let l be (50\/o)\/5 + (-27386)\/(-22). What is the common denominator of l\/200 - ((-8)\/10)\/2 and 93\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 4*c**2 - 51*c + 73. Calculate k(6).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from {h: 2, t: 4, y: 3}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + -4. Suppose 8*k - 115 = m*k. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6736380 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107120 is divided by 495?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 744295 is divided by 272.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 4*z = 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 926432910 and 3510.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 93597.27t to nanograms.\nAnswer: 93597270000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:08 AM and 4:28 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 88835 + -42?\nAnswer: 887a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 24212753 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 65.2315 and -126.\nAnswer: -8219.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**5\/3 + 4*d**4 - 8*d**3 - 76*d**2\/3 - 14*d = 0.\nAnswer: -7, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -7*k - 2*k. Let r(f) = -k*f - 1 + 1 - 2 - 1. Let q(i) = 5*i + 5. Suppose -5*z = -6*z + 2*p + 10, -2*z = p - 15. Give z*r(a) + 5*q(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -2*j + 5027. Let d(h) = 3*h. Give t(d(c)).\nAnswer: -6*c + 5027","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 213 a factor of 448476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1181620 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of -15*a + 0 + 5\/2*a**2 - 25\/2*a**3. What is the units digit of o(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 7*r + 15. Let x(g) = 4*g + 8. Let z(p) = -3*a(p) + 5*x(p). Let c be z(4). Are -10 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -3 - (-3 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r + 29161*r**2 + 16273*r**2 - 15435*r**2. Suppose -6 + 1 = 5*l. Let f be u(l). What is f rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 292\/91 - 38\/13. Do m and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 3 = -36. Let k(g) = 11*g**3 + 15*g**2 - 13*g - 13. Let j(d) = 5*d**3 + 7*d**2 - 6*d - 6. Give t*j(c) - 6*k(c).\nAnswer: -c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1\/121 + -398\/4235. Let z = -129\/5 + 26. Let s = z - m. What is the closest to 0.1 in 4, -2\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 6:14 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 AM and 11:57 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 - 7*t**2 + 2*t + 24. Let d be g(6). Suppose 0 = -10*a - d*a + 1650. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -179027 > -1611248\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 + 42 = 3*i. Let g = i - 17. Suppose c = -2*u + 5*u - 4, 0 = g*c - 2*u - 24. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3191 is divided by 288.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 - 4*z**2 - 5*z + 21. Let d be c(4). Is (d + 2680\/12)\/(3\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -771 in 1\/3, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 291711759?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of -410*o**3\/3 + 407*o**2 + 69*o. Find the first derivative of z(w) wrt w.\nAnswer: -820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/9*i**3 - 4\/9*i**4 + 0*i**2 + 2\/9*i**5 + 0 + 0*i.\nAnswer: 2*i**3*(i - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3163634, 3163636, 3163638, 3163640?\n\"Answer: 2*z + 3163632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 88*j**2 - 969*j**3 + 902*j**3 - 86*j**2 - 1 to p*j**2 + o*j + z*j**3 + k and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(27)*3)\/(sqrt(45)\/(sqrt(30)\/sqrt(6))).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -16, -22, -30, -40, -52, -66?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 702 is divided by 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1804 + 1834. What is the highest common factor of 2265 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(-2)*(-128)\/80?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 33*p**3\/2 + 96*p**2 - 267*p\/2 + 21 = 0. Calculate p.\nAnswer: -7, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2369262899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.8 + -0.7. Let i = m - -6. Let g = -37 + 109\/3. What is the closest to 1 in i, g, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -9*h - 2. Let g(s) = 6*s + 2. Let m(b) = 8*g(b) + 5*r(b). Calculate m(8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-18)\/(-27) + (-56)\/(-6))*3 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 361, 52, 0, -0.3, 3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 13150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -826*22\/(-308) - 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -9, -25, -51, -87?\n\"Answer: -5*l**2 - l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:15 AM and 7:26 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -145\/6 and -49\/1191.\nAnswer: 2382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 2*n + 18 = 0, -n + 0 = 4. Let t = 15 - 11. Is z > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 times -1797?\nAnswer: -1203990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**2 + 35*p - 142. Give x(34).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25*-0.39.\nAnswer: -9.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -4*q + 146. Let n be x(36). Suppose 2*h + 11 - 5 = 0. Put 9, n, h, 4 in decreasing order.\nAnswer: 9, 4, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3 - 7)*52*3. Let a = u + 2282. Suppose 5*o = a + 2063. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + 0 + (-15 - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of -q**6\/240 + q**5\/12 - 13*q**4\/12 + 11*q. Let v(d) be the third derivative of t(d). Differentiate v(b) with respect to b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000001 + 10000?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 26.92457 minutes?\nAnswer: 1615474200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 592 a factor of 1886663744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12927 + 12925. What is the closest to -7 in 3\/2, -0.2, -87, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*n - 24 = 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -0.05  (b) -8  (c) 3\/4  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**1)**(2\/69))**25 assuming j is positive.\nAnswer: j**(50\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2239499?\nAnswer: 37, 60527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 123 is divided by 53.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 2*q = 9, 54*q - 58*q - 12 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 5*i**2 - 79540*i + 316330580 = 0.\nAnswer: 7954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - 13\/((-78)\/42).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 4*r**3 - 9*r**2 + 47*r + 42. What is the tens digit of z(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -7, 4, 1, -77, 2 in ascending order.\nAnswer: -77, -7, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmzmmzm. Give prob of sequence mzmz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -73242 divided by -3\nAnswer: 24414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 5*b**3 - b. Let t be c(1). Suppose a = 0, s = -t*s + 3*a. Let x = -6\/77 + 184\/385. What is the nearest to x in -4, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1680*k + 32 = 1672*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes before 8:23 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 798956 to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**3 + 1116*h**2 + 103788*h + 3217428.\nAnswer: 4*(h + 93)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 4*v - 1110, -2*v + l + 291 + 257 = 0. What are the prime factors of v\/(-2)*(-7 + 5)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -35, 1, 12, -2237, -2, 0 in descending order.\nAnswer: 12, 4, 1, 0, -2, -35, -2237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-3228)\/402 - -4) + 4. Let y = k - -152\/603. Find n such that -8\/9 - 16\/9*n - 10\/9*n**2 - y*n**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from avvjjuuvuuvuajujua. What is prob of sequence uu?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -5, -1, 1, 2 in descending order.\nAnswer: 7, 2, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*c + 28*c + 708 + 2950 + 3702 = 0 for c.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 129933 is divided by 10820?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (1*15*(-45)\/(-525)*-7)\/((-146)\/(-219))\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 3*b**4 - 2616981*b**3 - 7850961*b**2 - 7850967*b - 2616990 = 0.\nAnswer: -1, 872330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-2\/73)*x**(8\/3) assuming x is positive.\nAnswer: x**(578\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3122380 by -780595.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(19)*1 + sqrt(475)*-2)**2 - (-1*(sqrt(228) + -1*sqrt(228) + sqrt(228) - sqrt(228)))\/(sqrt(12) + sqrt(48)*-6).\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1677*k - 1764*k + 3457*k.\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**0)**2\/(v**(-6)*v\/v**4))**(8\/3) assuming v is positive.\nAnswer: v**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 2214080  (b) -4  (c) 2\/7  (d) 0.2  (e) 0.3  (f) -0.5  (g) 3\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 466*i + 461. Determine f(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 15 = 3*v, 0 = -0*h - 2*h + 4*v + 8. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/798 and 20\/630021.\nAnswer: 1260042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 17*a - 21*a - 7924, 3958 = 2*l - a. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lymslsesssllmylmhhl. What is prob of sequence hsyh?\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 2:41 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**2 - 4*b - 5. Let a be p(5). Solve j + a*j - 2 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 65  (c) -3\/8  (d) -4  (e) 0.01  (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1ba1a (base 13) in base 2?\nAnswer: -1101010010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6487.71 + 6461.7241. Let l = s - -25.87. Round l to three decimal places.\nAnswer: -0.116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 3:49 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2514 divided by 48.\nAnswer: -419\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4744, -9528, -14258, -18928, -23532, -28064?\n\"Answer: a**3 + 21*a**2 - 4854*a + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 644672272.602429 + -644678269.6. Let w = 5997 + r. Round w to 4 decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1295390*i**3 + 87270*i.\nAnswer: 7772340*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 102614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 4, 367, -5 in decreasing order.\nAnswer: 367, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 201 divide 118454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(-2))\/(z*z**(-1\/3)*z)*z*z\/(z**(-6)*z)*z\/(z\/((z\/(z*(z*z\/z**(-2\/19))\/z))\/z))*(z\/(z\/(z**(2\/5)\/z))*z**(-3)*z)**(-11) assuming z is positive.\nAnswer: z**(9926\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6353762 micrometers in centimeters?\nAnswer: 0.00006353762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 230 - 151. Suppose 3*p = 4*u + n, u + 129 + 14 = 5*p. Solve 9 = 4*b + p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -168*n**3 - 67*n**3 - 71*n**3.\nAnswer: -306*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 656517860.\nAnswer: 2, 5, 349, 94057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 - 10*g**2 - 27*g - 9. Calculate the lowest common multiple of u(-6) and 333.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of -x**9\/168 + x**6\/8 - 647*x**5\/20 - 3624*x**2. Find the third derivative of g(i) wrt i.\nAnswer: -360*i**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-3)\/(-30))\/((-64)\/(-896)))\/(7\/70 + 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - 0) + 0 + -27 + 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -392557*o**2 - 866088 wrt o.\nAnswer: -785114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 2*s = -3*s + 76, 4*u - 4*s + 64 = 0. Let i = u - -25. Suppose -i*q + 88 = 3*q. Calculate the least common multiple of q and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-474)\/(-8216))\/((-6)\/(-48)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 17  (b) -0.4  (c) 1\/2  (d) 4  (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0030716489 rounded to 4 decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**2 - 328*h + 8265. Give w(23).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -71127.26 + 35575.326. Let l = i - -35625. Let w = l - 73. What is w rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 0  (b) 6  (c) 2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (892\/(-1))\/((-8)\/(-40)). What is the remainder when 381 is divided by d\/(-80) - 3\/4?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**2\/6 - 571645*o\/2 + 24868660\/3.\nAnswer: -5*(o - 29)*(o + 343016)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 60*t**2. Let a(n) = 23*n. Give z(a(w)).\nAnswer: 31740*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 2360419*t**2. Let w(j) = 2*j**2. Give w(b(p)).\nAnswer: 11143155711122*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -40, 2 in ascending order.\nAnswer: -40, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4590 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -12999, -25991, -38977, -51957?\n\"Answer: 3*w**2 - 13001*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, -1\/5, 0.06, -4\/9, -73137?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -123 times 368\nAnswer: -45264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3153220 is divided by 760?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 + -78?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 25 + 46 + -44 + 60\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (24\/18)\/((-4)\/(-6)). Let m be (-2 - -258) + d + -4. Is (5\/10)\/(1\/m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84 = -12*a + 24. Let x = 11 + a. Suppose -i - s + 2 = -x*i, -s = 3*i - 2. Solve i = -5*j - 2*u + 20 + 9, -4*j + 2*u = -16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 + 288 = 5*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1420*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 20*k + 22*k - 17*k + 4 + 19*k. Let c be i(4). What is c rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65247?\nAnswer: 3, 7, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-4)\/(-14))\/((-12)\/(-168)). Solve -j*f + 5 = 5*q - 3*f, 3*f - 15 = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3, -1, 44, -192 in descending order.\nAnswer: 44, -1, -3, -4, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/(l\/((l\/(l*l*(l\/(l\/l**(-9\/5)))\/l))\/l)))\/l**(-13)*l**(4\/7)*l*l*l**(-2\/3)*l*l*l assuming l is positive.\nAnswer: l**(2069\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d = d + 35. Let v = -4 + d. Calculate the greatest common divisor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -5\/3  (b) -0.4  (c) -83  (d) 747\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 9 = 3*c, -1887*a = -10*c - 1892*a + 55 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 91096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95*x - 182*x = -2508789. What are the prime factors of x?\nAnswer: 3, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m + 3. Let y(l) = l**2 - 18*l + 1. Let i be y(17). Let s be (-52)\/i + (-9)\/(-12). Suppose -s*h + 24 = -0*h. What is r(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -437 divided by -32329.\nAnswer: 437\/32329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -1963 at least -567110\/289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 214655 and 4480?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z - 3. Let l be t(-3). Let q be 27 - -1 - 1410\/94. What is the second derivative of q*v - 6*v + 7*v**3 + 12*v + l*v wrt v?\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of m**3\/3 - 2*m + 3. Determine k(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(833) + 0) - 6*sqrt(833)*2.\nAnswer: -119*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1114096 to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 21. Let j = o + -3. Let y = -15 - -17. Calculate the smallest common multiple of j and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20223 (base 9) to base 16\nAnswer: -33f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**2 - 4*c + 7. Let o be s(-5). Suppose 0 = -2*d + 4*j + 14, -3*d + 0*j + 13 = -o*j. Factor 2\/3*k**2 - 2\/3*k**4 + 0*k + 0*k**d + 0.\nAnswer: -2*k**2*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, z: 1, h: 1, m: 1, w: 3}. Give prob of picking 1 h, 1 z, and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 5 - 52*o - 8.\nAnswer: -52*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 154*z. Let u(x) = -6*x - 5. Let l(f) = 2*f + 2. Let b(y) = 5*l(y) + 2*u(y). Give v(b(n)).\nAnswer: -308*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2, 4\/3, 1\/3, 0.3, 4, 15890?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2*r. Suppose -w + 4*n = -49, -w - 5*n + 0 = -13. Let l be w\/6 + (-4)\/8. Let y(t) = 39 + 4*t - 39 + l*t. Calculate v(y(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**2 - 14*k + 30. Suppose 55 = 3*p + 4*m + 7, 5*m + 9 = 2*p. Let h be g(p). Calculate the highest common divisor of h and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -165115\/169 + 977. Suppose 755 + 205 = 8*w. Let i = -120 + w. Which is bigger: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*p + 5*p - 8*p)*(-316*p + 276*p**2 + 316*p) + 0*p**3 - 2*p**3 + 3*p**3.\nAnswer: -5519*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 923017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1920 and 10439040.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32926.78 + -0.06.\nAnswer: -32926.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -24, -84, -184, -324, -504?\n\"Answer: -20*a**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 323*n - 12 = 2*d + 2*d + 319*n, -11 = 2*d - n for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1896 - -0.02.\nAnswer: 1896.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2048*p + 1060*p - 106740 = 2570*p for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -66.7 - -14. Round b to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -3*v + 21. Let x be b(5). Let z(c) = 23*c - 10. Let m be z(x). Let t = m + -81. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 840689.\nAnswer: 31, 47, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -31 + 51. Which is smaller: n or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 13.91575mg?\nAnswer: 0.01391575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2 - 12*u - 5. Determine s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8 times 0.094?\nAnswer: 0.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-28))**(1\/7) assuming x is positive.\nAnswer: x**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*q + 2*q = t + 62, 4*q - 5*t = 46 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v**2 - 3520*v**3 + 0*v**2 - 2976*v**3 + 5792*v**3.\nAnswer: -704*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2cc + -287a?\nAnswer: -2b79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 330 = 5*b, 0 = 4*b - 32 + 20. What is the highest common divisor of p and 989?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2*g**2 - 6*g**2 + 2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -108*x**3 + 2*x**2 + x. Let f be h(-1). Let c(q) = 2*q**2 - 4*q - 1. Let b be c(3). Suppose 151 + f = b*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 8*f**3 - 34*f**2 + 8*f + 6. Let n be o(4). Let i be (-5)\/6 - (-5)\/n. Suppose 1\/5*h**3 + i - 4\/5*h**2 + 4\/5*h = 0. What is h?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11\/18 + (20 + -43)\/46?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of 65*r**4\/24 - 40*r**2. Let o(u) = -6*u**2 + 4*u. Let z(v) = 5*v**2 - 3*v. Let s(w) = -3*o(w) - 4*z(w). Give s(g(b)).\nAnswer: -8450*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 374504 = -6*y, -11*g = -5*y - 15*g + 312072. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (-1 + sqrt(432))**2)*-5 - (sqrt(216)\/(sqrt(12) - (sqrt(12) - 1*sqrt(12))))\/(4*sqrt(18)\/sqrt(3) + sqrt(6) + sqrt(6)).\nAnswer: -2160 + 719*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 less than 16782591517?\nAnswer: 16782591532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pcppfpcfpppp?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -89*o = -98*o - 27 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -109 + 67. Calculate the least common multiple of 9 and ((-52)\/39)\/(4\/f).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-63444\nAnswer: -19033.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1040 + 40?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 270?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 72643997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 3*q - 6 = 5, 4*q = 5*f + 7. Let d(c) = -3*c**3 - c. Determine d(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -21\/157 at most 1369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c**2 + 0*c**2 - 4*c**2)*(5*c**3 + c**3 + 0*c**3 - 2 + 2 + c**3 + (1 - 2*c**3 - 1)*(0 + 3 - 2)).\nAnswer: -5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - 244437815.\nAnswer: -244437826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 269 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*z**2 + z**2 - 47*z**2.\nAnswer: -63*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00030292 to six dps.\nAnswer: 0.000303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -4*d**2 - 3*d + 3. Let i(m) = 12*m**2 + 8*m - 8. Let h(l) = -3*i(l) - 8*p(l). Suppose u - 7 = -4. Let f(x) = -u*x + x + 4*x. Calculate h(f(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 96\/36*(-3)\/2. Let b(m) be the third derivative of -m**4\/8 - m**3 - 2*m**2. Is b(d) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -49252, -99280, -149306, -199330, -249352, -299372?\n\"Answer: i**2 - 50031*i + 778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 269, -555.02, -3\/2, -5\/4?\nAnswer: 269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -2*r + 4. Let s(o) = -5*o + 11. Let v(k) = -4*s(k) + 11*z(k). Let l(d) be the first derivative of -5*d**3\/3 + 23. Calculate v(l(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gb when two letters picked without replacement from kkkbegbeeeeekkbb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 6*o = -8. Let v(q) = -4*q**2 + 2*q - 2. Let z(m) = 13 - 106*m - 5*m**2 + 109*m - 14. Let l(n) = o*v(n) + 3*z(n). What is l(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 85286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 21*v + 2126. Let k be a(21). Calculate the greatest common divisor of k and 302.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - 1) + (34 - 31)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**3 - 10*j**2 - 15*j - 11. Let u be r(11). Let f(p) = p**3 + 10*p**2 + 4*p + 7. Let z be f(-10). Let d = z - u. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-12))\/((-5)\/(-240)*-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -9658\/3, -123, 3, 4\/3 in decreasing order.\nAnswer: 3, 4\/3, -4, -123, -9658\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 16850 and 16829 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2121431 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -425*q - 3385 = 505*q + 8705 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 2 g when three letters picked without replacement from ggwggggggghgv?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 12121, 12126, 12127, 12130, 12141, 12166?\n\"Answer: m**3 - 8*m**2 + 22*m + 12106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1452685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19502)\/8624 - (60\/80 - (-11)\/(-8))?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((sqrt(153) - (sqrt(153) + sqrt(153)*-1)) + sqrt(153)))\/(-6*(sqrt(9) - sqrt(144))).\nAnswer: 2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*u + 1 - 8*u + 18*u + 2*u + 2*u - 3*u + (-2 + 3 + 0)*(6*u - 3*u - u).\nAnswer: 11*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4071 is divided by 1927?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 241 - 239. Let c(b) be the third derivative of 0 - 1\/60*b**5 + 0*b**3 - 3*b**l + 0*b + 0*b**4. Let m(i) = -5*i**2. Determine c(m(v)).\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (6 - 0 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1834 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2167933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1976 and 82251.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 4*u**2 + 52*u + 82. Let j be b(-29). What is the highest common factor of j and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b, 1 p, and 1 s when four letters picked without replacement from hhhbsspibss?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 45151315 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4133487 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2eee1 (base 16) to base 12.\nAnswer: 932a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 3*t**2. Let j(x) = -x**2 + 1. Let v(m) = -10*m**2 + 8. Let n(u) = -24*j(u) + 3*v(u). Calculate w(n(d)).\nAnswer: 108*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(343) + sqrt(343)*1)*6 - (sqrt(343) + 0)*-4.\nAnswer: 112*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 31492?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 11*g**2 - 9*g + 80. Let z(f) = 5*f**2 - 4*f + 40. Let p(y) = -4*q(y) + 9*z(y). Suppose -2*r = -3*r. List the prime factors of p(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 285 = -7*q - 12*q. What is the least common multiple of -18*(-2)\/3*1 and (-4 + 3\/3)*110\/q?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/389, -215, 2, -3\/5.\nAnswer: -215, -3\/5, 2\/389, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52*f**3 + 11*f**3 - 40*f**3.\nAnswer: 23*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31498, -31496, -31494, -31492?\nAnswer: -31490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 106194.\nAnswer: 2, 3, 11, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t + 5. Let k be n(-6). Let f = 41965\/8038848 - 1\/83738. Is k at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5062010 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 - 56646?\nAnswer: -56641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -7. Suppose -j + 78 = -0*j - o, -2*j + 4*o = -156. Suppose 4*k - r*a - 81 + 10 = 0, 4*k + 2*a - j = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 54, 156, 270, 396, 534?\n\"Answer: 6*q**2 + 84*q - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 168608 - 53359. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-45)\/(-12) - (-2)\/8. Suppose -20 + 0 = -d*t - l, -t - 4*l = 10. Solve 18 = -4*c + t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 84650, 84720, 84788, 84854, 84918, 84980, 85040?\n\"Answer: -b**2 + 73*b + 84578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from ssgssgpppgisssgsgsps?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 5\/60*9*2*36\/513\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 + 0 + 2 + 162\/(-324)*20\/2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -12*a**3 - 3*a**2 - 3*a + 2. Let v = -2 + -1. Let y be d(v). Suppose 0 = 4*p - 4*b - y, 0*b = b. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.924201 millilitres?\nAnswer: 0.000924201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -25860*q - 14421?\nAnswer: -25860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(405) + 0)**2.\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 19*l**3*t**3*x*z**2 + 5*l**3*z - l**2*t**3*x*z**2 - 23*l**2*t**3*x*z + 2*t**3*z**2 - t*x*z - t*z**2 wrt l?\nAnswer: 114*t**3*x*z**2 + 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 + v**2 + 8*v - 9. Let u be i(3). Sort u, 3, 10 in descending order.\nAnswer: 10, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**6*y**(-2\/5)*y)**(-2\/11) assuming y is positive.\nAnswer: y**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*g - g**3 + 12*g - 5*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**3 - 2*i**2 - 15*i + 7. Let n be k(-3). Solve 0 = -n*f + f + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*g**2 - 3*g**2 + 2*g**2 + (-6*g - 5*g + 2*g)*(-16 + 16 - 12*g) + (3 + 0 - 2)*(2 - g**2 - 2).\nAnswer: 110*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.184 in 2\/3, 4, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 41263424 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (((-113664)\/(-896))\/(-148))\/((-2)\/(-84)*2)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2307 - -1?\nAnswer: 2308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2506441.2 rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*v**2*x - 13*v**2 + v*x + 296*v - x wrt v?\nAnswer: -14*x - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1205830142.666 + -500875.334. Let d = j + 1206331069.9999937. Let x = 52 - d. What is x rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 5372, 10753, 16140, 21533, 26932, 32337, 37748?\n\"Answer: 3*a**2 + 5372*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*y + 121*y - 254*y - 350 = 0 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 43c + -b0?\nAnswer: 35c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1004035?\nAnswer: 5, 200807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -359 divided by 2907\nAnswer: -359\/2907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 + 11*d**2 - 8*d + 4. What is the units digit of p(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64438771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16\/5 + 0*q**2 + 1\/5*q**4 + 4\/5*q**3 - 16\/5*q = 0. What is q?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:45 PM and 4:00 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3120 (base 4) to base 5\nAnswer: -1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 285086\/37520 - 2\/(-7). Let r be 688\/(-2010) - (-2)\/6. Let p = z + r. What is the common denominator of 55\/12 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1736162577?\nAnswer: 3, 73, 2642561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 + 23*q**2 + 4. Let l be p(-23). Put 25, -3, -24, 3, l in increasing order.\nAnswer: -24, -3, 3, l, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 - -4. Suppose n = 3*n - 6. Suppose 4*f - 28 = n*w, a*f - 12 = 4*w + 12. Solve -f*d + 5 = -l - 3, -4*l - 13 = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -56*s - 17 + 22 - 8 - 16 to the form b*s + m and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 176*j = 173*j - 1, -2*v + j = -12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -76dd + 7?\nAnswer: -76d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 60\/(-5) - 5088\/(-416)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 - 3*o**3 + 2*o**3 - o + o + (-2*o**2 - 2*o**2 + 2*o**2)*((-5 + 16 - 12)*(o + 0*o + 0*o) + o - o + 3*o).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -3*h + 3. Let n = -307\/5 + 61. What is the second smallest value in -2\/11, n, h?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -2.16736.\nAnswer: -2.16736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2 - 5*g + 10. Let k be a(3). Suppose -5 = k*d + 5*f, d = 10*f - 11*f. Suppose -2039 = -3*w - d*l, -3*l = 8*w - 4*w - 2726. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 - (-28)\/(-12) - 1145\/(-15). What is the greatest common divisor of 95 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 75, 72, 69, 66, 63, 60?\n\"Answer: -3*q + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2886.\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 95.9 - 504.9. Let z = r - -406. Which is the third biggest value?  (a) z  (b) -2\/27  (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 PM and 3:27 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 370624.\nAnswer: 2, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4658193151 to the nearest integer?\nAnswer: 68251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add 1 and -31.4.\nAnswer: -30.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pysspssyppsssp. What is prob of picking 2 s?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 419162505 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3577 - -0.74711.\nAnswer: -3576.25289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2579*a**4 + 2*a**3 - 62898*a**2 wrt a?\nAnswer: -61896*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(5\/7))\/(g\/(g**(-3\/13)*g))*g**(-2\/5)*g*g**(-1\/21)*g assuming g is positive.\nAnswer: g**(592\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - w + 9. Give d(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*c - 125*c - 3 - 1 + 1 = -a, 3*c = -12 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*g + 17*g + 4*q = 10, 5*g - q = 5. What is the third smallest value in g, 3, -230?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.7706132 and 0.02?\nAnswer: 0.7906132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-153)\/1020)\/(1\/(-20))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 424683586 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 191*g**2*y**3 + 2*g**2 + 2*g*y**2 + 39 wrt y?\nAnswer: 1146*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes after 10:00 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 2*d**3 + 11*d - 7. Let u(g) = 3*g**3 + 23*g - 12. Calculate -5*s(t) + 3*u(t).\nAnswer: -t**3 + 14*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 1  (c) 77\/12  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5321339 = -206*i - 5326489 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000959 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11800\/419 or 27?\nAnswer: 11800\/419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 944 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + 1. Let i be -1 + (4 - a) - 1. Let c(l) = l**2 - 2*l - 3. Let z be c(4). Solve 5*p - 5 - z = i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61822.73 millilitres in litres?\nAnswer: 61.82273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -42678 - -42682.0673. Let z = w - 0.0753. Let o = 0.092 - z. Round o to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 545\/(-690) - 2\/(2 - 6). Let j = n + -1\/23. What is the closest to -0.1 in 0.7, -2\/7, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 AM and 3:19 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - -7) + (-22 - (-29 - -22)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d - 11. Let r be f(-11). Suppose 5*i - 30 + 5 = r. Let g(y) = y - 3. Let n be g(i). Which is the third biggest value?  (a) -0.1  (b) 3  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 - 6*p**2 + p + 2. Let c be f(7). Is c*5 + (-4 - -1) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 20 + 4 + -9 - 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 8 = 26. Let j be ((-9)\/k)\/(2\/(-28)). Let t = j + -11. What is the greatest common divisor of 20 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in thirty-seven halves of a kilogram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -16 + b6ad?\nAnswer: b697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2856 + -2854. Let u = -0.8 - -1. Which is the nearest to u?  (a) -7  (b) n  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z + 0*z + 3*z + z. Let w be (440\/(-24))\/(2\/(-6)). Let r(x) = -60*x + 119*x - w*x. What is b(r(h))?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 434759 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -129435 (base 11) to base 16.\nAnswer: -31852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 4*z. Let y(g) = -4*g. Let j(f) = -6*c(f) - 7*y(f). Suppose -2*x - 4*h = -26, -7*h + 2*h + 41 = 3*x. Does 34 divide j(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -3*n**2 - 362*n + 10582. What is p(-139)?\nAnswer: 2937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 202280754 a multiple of 2067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 31391396 to the power of 1\/2, to the nearest integer?\nAnswer: 5603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -7*1\/7*-12. Suppose -h + i = -3*h. Let q be (h\/(-15))\/(-1)*-10. Solve 3 - 11 = -q*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 0.7, 0.8 in descending order.\nAnswer: 9, 0.8, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 12 + 5)*((-2 + 2 + 1)*(-3 + 1 + 3) - 1 + 1 - 1 - 1 - 3 + 1)*(-5*c**3 - c**3 + 5*c**3).\nAnswer: 51*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 102 - 70. Let n = -1 - -6. What is the remainder when f is divided by (0 - -9) + -3 + n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.234 * -0.1\nAnswer: -0.0234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/3 + 37567*w**2\/3 + 37570*w\/3 - 75136\/3.\nAnswer: -(w - 37568)*(w - 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -62*s**2 - 10609*s - 1162. What is l(-171)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5302569 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2480532 = -39*r + 2782674. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1665.99998879 - 1666. What is x rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**7\/m*m)\/m**2*(m\/m**(2\/3))**38)\/((m\/m**2)**3\/(m**(-7)*m**(-1\/8))) assuming m is positive.\nAnswer: m**(325\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(1862) + sqrt(38))\/(sqrt(2) + (sqrt(2) - -5*sqrt(8)\/sqrt(4))).\nAnswer: 8*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 25 + -6?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of 0 + 0*y**2 + 1\/6*y**3 + 1\/8*y**4 - 11*y + 1\/40*y**5. What is g in j(g) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 2*g**2 - 68*g - 664. Calculate the remainder when 1529 is divided by b(43).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 5 = -5*i, 4*c + 9 = 3*i + 5*c. Find p, given that -2\/7*p**5 + 0*p**i + 4\/7*p**4 + 0*p - 2\/7*p**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 233\/4 or 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 PM and 1:07 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4162651099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r + 4*r + 20 = 0. Suppose 0 = -4*a + 5*u - r, -5*a + a = -4*u. Suppose -2*v = -v + 5*d + 6, 2*d + a = -3*v. Is -4 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 5*b + 2. Is x(13) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12 + 0. Let m = 18 + r. What is the remainder when 8 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*f - 105*f = 4*y + 216, -f + 5*y + 222 = 0. Let v be ((-18)\/(-15))\/1*30. Calculate the greatest common factor of v and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**2 + 5*h - 14. What are the prime factors of g(8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**4\/7 - 6*s**3\/7 + 2*s**2\/7 + 6*s\/7.\nAnswer: -2*s*(s - 1)*(s + 1)*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 5*q = 40, -14*q - 24 = -3*y - 15*q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -501, 1 in descending order.\nAnswer: 1, -4, -501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(2\/9))**43\/(((a*a*a\/(a\/(a\/a**(-4)))*a)\/a)\/a)**(-2\/57) assuming a is positive.\nAnswer: a**(1670\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 304834*g**5 - 419159*g wrt g?\nAnswer: 6096680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/(-12)*-9)\/(4\/64). Suppose q + 4*j = 0, -3*q + s = -4*j - 4. What is the first derivative of -23 + 6 - 21 + 24*f**q wrt f?\nAnswer: 96*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 538882 by -6.\nAnswer: -269441\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.61 + -0.11. Let s = -0.5 + k. Let q be ((-2)\/(4 + -2))\/(-1). Which is greater: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111 = 3*f - 2*n, -7*n = 2*f - 2*n - 93. Calculate the remainder when 387 is divided by f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 25 - -2877831?\nAnswer: 2877856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -43*n - 165*n - 313*n - 4*n to the form u*n + m and give u.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 8\/10*(-715)\/44\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*b + 3095 = 124*b + 859 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 - 0.4. Let f = n + -5. Which is the third smallest value?  (a) f  (b) -5  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19398)\/(-549) + ((-32)\/(-12) - (2 - -1))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (16 + (-666)\/42)\/((-15)\/75)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + 11 + -16 + 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -6*r - 2. What is the least common multiple of r and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 - 2*i - 2. Let l(y) be the first derivative of 4*y**3\/3 + 3*y**2 + 6*y + 11. Calculate -7*b(z) - 2*l(z).\nAnswer: -z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 24 - 29 = 0. Let f be -6*(p\/(-2) - 2). Solve 0 = -d + 4*d - f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119) - -4*(2*sqrt(119) - sqrt(119)))\/(sqrt(77)\/(sqrt(33)\/sqrt(3))).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -110, -415, -872, -1481, -2242, -3155?\n\"Answer: -76*l**2 - 77*l + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, e: 5}. What is prob of sequence gg?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 4:42 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -4*q + 6*q, -4*q = -3*k - 138. Calculate the common denominator of k and 8 + ((-498)\/(-22))\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*g**2 - 27*g**2 + 5*g**2)*(23*g**2 - 58*g**2 + 27*g**2).\nAnswer: 256*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 328 and 78.\nAnswer: 12792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 439 - 298. Let c = u - 208. Let m = -39 - c. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 4*b - 492, b - 86 = -4*d + 37. Let t be ((-4)\/(-6))\/(6\/27). Suppose -b = 4*k + q - 422, -t*k + 3*q + 228 = 0. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -536744 or -536745?\nAnswer: -536744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (9\/4)\/((-3)\/(-56)). Let v(t) = -3*t - 24. Let c be v(-10). Calculate the greatest common factor of c and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/55)\/(4\/(-20))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 7*g - 3. Let s be h(1). Suppose -3*l + 252 = -q, -q = s*q. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 760501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.3 take away 0.227163?\nAnswer: 8.072837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1593695438.\nAnswer: 2, 23, 34645553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - t**3 + 0 + (-1 + 2 + 0)*(4*t**3 - 4*t**3 + 3*t**3) + 132*t**3 - 244*t**3 + 61*t**3 to the form y + v*t + g*t**2 + q*t**3 and give q.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 461*x + 1889 - 33424 = -6180 for x.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of -l**5\/60 - l**4\/8 + 2*l**3\/3 + 32*l**2. Let c be n(-4). Solve 0 = 5*s - 4*z - 0 + 1, s - 4*z + 13 = c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/13*(-8)\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 39 - (0 + -6) - (28 - (-8 - -44)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -129?  (a) 1.1  (b) 0.1  (c) -7\/16  (d) -4  (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 3 = n, -3*n + 0*m + 5*m = -1. Solve -5*d + 9 = 2*s, -2*d - 1 + n = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 896058 a multiple of 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.38535*1.\nAnswer: -0.38535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 297905818 divided by -438742\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2\/107705?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in 1\/6, -2\/7, -23\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-18) - 160\/396.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m**2\/7 + 8718872*m\/7 - 9502341119048\/7 = 0 for m.\nAnswer: 2179718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 279 (base 10) to base 3.\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllllllllllllllllbll. What is prob of picking 4 l?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of b**2 - 2*b - 8. Let i(f) = f - 3. Let t be i(3). Let m be (5 - (-1 + t))\/2. Give h(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 113*x = 105*x. Is x greater than -2\/1673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.23 and -0.5212?\nAnswer: -0.119876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the first derivative of 5\/2*d**4 + d**5 - 5*d**2 + 0*d + 25 - 5\/3*d**3. Factor k(m).\nAnswer: 5*m*(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(57) - (sqrt(399)*-2)\/sqrt(7))*6)\/(-2*2*sqrt(108)))**2*3.\nAnswer: 513\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t**(-1\/3)*t))**(-7)*(t\/(t**(-1\/14)*t))\/t*t**(-1\/6) assuming t is positive.\nAnswer: t**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.3 + -0.7. Let x = d - -0.6. Put x, -1, -5 in increasing order.\nAnswer: -5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2901, -12 in decreasing order.\nAnswer: 2901, 5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 1.822405 years?\nAnswer: 0.001822405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 10406 = 4*i, -3*d + 12*i - 11*i + 15594 = 0. Suppose -d = 24*j - 25*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/13)\/(p*p\/p**(-2)))**(8\/5)\/(p\/p**(3\/2)*(((p*p*p*p*p*p*(p\/p**5)\/p*p)\/p)\/p*p)\/p)**3 assuming p is positive.\nAnswer: p**(-669\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 40 = 4*y. Let f be (0 - -5)*y\/(-10). Suppose -3*r + 8 = l - 2, 4*l + f*r - 24 = 0. Solve -l*o - 11 + 3 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.031 - 8.031. Is w < -10\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 2 - 4)*(-7 + 3 + 1) + (-3 + 0 + 1)*(-1 - 2 + 0))*(38 - 38 - 9*x**2).\nAnswer: -81*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**2 - 8*n + 8. Let j be o(6). What is the units digit of -1*2*1*j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes before 8:05 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33479864?\nAnswer: 2, 11, 380453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -476*v**5 - 968*v**4 - 508*v**3 - 16*v**2.\nAnswer: -4*v**2*(v + 1)**2*(119*v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (60 - 9 - 3)*(-2 + 2 + t**3)*(1 + 0 + 0)*(-4 + 5 + 11) to h*t**2 + o*t + a*t**3 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (8 + (-2 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((42\/9)\/(-7))\/(2\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**2 + 4*t + 3. Let l be a(4). Suppose 5*q - 98 = r, -r + 5 = 3*q - 49. Suppose 16 = z + q. Sort l, 5, z in descending order.\nAnswer: 5, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 + 7. Let w be m\/(-4) + 5 + 8. Suppose 3*a = 4 + 29. Is a at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -5*f - 0*k + 90, 15 = 3*k. Suppose -2*h = -a - 3, -4*a + h + 8 = -1. Suppose 0 = 2*g + a*g - 65. Calculate the greatest common divisor of g and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the third derivative of -h**8\/16 - 2*h**5\/15 - 16*h**2. What is the third derivative of d(y) wrt y?\nAnswer: -1260*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/6  (b) -2  (c) 0.07  (d) -1\/18812  (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 43851 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1033, -2076, -3121, -4168?\nAnswer: -5217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7558216555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-2 + (2*1*sqrt(119))\/(-2*sqrt(847) - sqrt(847)))**2.\nAnswer: 40*sqrt(17)\/33 + 22120\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -16 - 76. Let m = 156 + h. Suppose 2*q = -0 + m. Calculate the greatest common factor of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1442355, -1\/4, -5 in ascending order.\nAnswer: -5, -1\/4, 1442355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x + 6 = 8*x. Which is smaller: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1535992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a milligram in micrograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tn when two letters picked without replacement from nuuiuljtjjui?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a - 2. Let i be r(5). Let j(c) be the first derivative of -2 + 0*c**2 + 2\/3*c**i + 0*c. Let m(f) = 2*f. What is j(m(k))?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 225972631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-5 + (-1*-2*sqrt(242))**2 + (-1*sqrt(242) + 3 + sqrt(242))**2).\nAnswer: -3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-218520)\/(-7284))\/(6\/16)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14646)\/12205 + (-208)\/(-90).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 94 divide 94582612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -121*r**3 + 9*r**2 - 15*r - 186. Is l(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -6*p + 1. Let c be l(1). Let t = -0.255 - -1.255. What is the third smallest value in c, 0.5, -4, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 3*g + 708 = 0, -279 - 21 = -2*t + 3*g. Suppose 2*u = 8*u - t. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -136097443460 - 1.4?\nAnswer: -136097443461.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -99 + 97. Let n = 27011\/9 + -3001. Which is the closest to k?  (a) -5  (b) n  (c) -1  (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -7 + 34 - (-2 - -1). Calculate the greatest common divisor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -4*j. Let h be g(-1). Suppose -63 = -h*a + a. Suppose p + 1 = o - 13, -4*o + 56 = -2*p. Calculate the highest common factor of o and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 - (148 - 19 - 4)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -729*a - 103. Is p(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the first derivative of o**4\/4 + 4*o**3\/3 - 2*o**2 + 3*o + 1. Let n be k(-5). Sort -2\/15, 0.2, n.\nAnswer: n, -2\/15, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -5*c + 54. Suppose -5*k + 26 = c. Suppose 4*y - 237 = -2*w - y, -466 = -k*w - 2*y. What are the prime factors of w?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(245) + -2)*6 - (-2 + (sqrt(245) - 3*sqrt(245)))) + -4*(4 + -2*sqrt(245) + sqrt(245) + sqrt(245) + -5 + sqrt(245)*2))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -3*k - 3. Let u be a(-2). Let b(y) be the third derivative of 1\/60*y**5 + 1\/24*y**4 + 36*y**2 + 0*y + 0 + 0*y**3. Determine b(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4596324, -9192581, -13788800, -18384963, -22981052, -27577049, -32172936, -36768695?\nAnswer: -41364308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13121203 - -1?\nAnswer: 13121204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.1 - 3.9. Let q = 4 + -7. Let w = 500 - 499.9. Put w, v, q in descending order.\nAnswer: w, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.3531 - -60.8131. Round k to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 12*s - 13*s - 35, -o = s - 10. What is the highest common factor of 4167 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/5))**(-5\/11)*g**(2\/43)*g*(g**(-4\/9)*g)\/g assuming g is positive.\nAnswer: g**(1789\/4257)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9503 or -9504?\nAnswer: -9503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/4)\/((-60)\/36)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, s: 2, g: 4, m: 2, c: 2}. What is prob of sequence so?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w - 18. Let a(u) = -u + 35. Determine -3*a(k) - 5*t(k).\nAnswer: -2*k - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -105 and -0.1?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5380 + 5100 = -8*i. Calculate the remainder when i is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = r + 5*j, -4*r - 5*j + 6 = -11. Suppose o + 3*y - 8*y - 12 = 0, r*o - 2*y = 36. Suppose 2*h - 4 = n + o, -4*n = -h + 22. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*b*j*t*x - 19*b*j*t - b*j*x**2 + 3*b*j*x - 3*t*x**3 - x**3 wrt t.\nAnswer: -2*b*j*x - 19*b*j - 3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 2*a**2 + 41*a - 61. Let c be q(-22). Find the second derivative of -16*r**c + 8*r**3 + 12*r + 13*r + 12*r**5 wrt r.\nAnswer: -80*r**3 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -318 times 0.3\nAnswer: -95.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 + 7*h - 12. Let s be v(7). Let o = 15 - s. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 + 39*p**2 - 2*p - 79. Let i be f(-39). Let q be i + -4 + 0 - 1194\/(-239). Is 0 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the second derivative of l**4\/6 + l**3\/2 + l**2 + 51*l + 1. Let p(q) = 2*q**2 + 2*q + 1. Give 3*i(k) - 4*p(k).\nAnswer: -2*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 248521964 is divided by 1367.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/9  (b) 0  (c) 7  (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2480 - -1887.5. Let t = c - -593. What is the second smallest value in t, -0.5, -1.7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -5*k - 70*q + 68*q, 3*k + 3*q + 15 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*((m\/m**(1\/3))\/m*m)\/m)*m)**(-2\/17) assuming m is positive.\nAnswer: m**(-8\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 AM and 3:01 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 3*v**2 + 12*v - 19. Calculate s(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 134*p - 124*p. Suppose -5*s + p*n = -0*s - 37, -20 = 5*n. Solve -3*f = -6*f + 3*j - 24, 3*j = -s*f - 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-17 - 25)*(-4 + 8 + 21\/(-6))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101 + -1102000222200?\nAnswer: -1102001000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - ((-5 - -1) + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**3 - 7*l**2 - 4*l + 8. Let v be p(-6). Let n be -18*(0 - (v + 3)). Is 12\/n*129\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the first derivative of -d**7\/35 - d**4\/4 + d**2 + 5. Let g(c) be the second derivative of o(c). Find the second derivative of g(j) wrt j.\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u**4 + 3*u**4 + 3*u**4)*(-2*u + u + 3*u) - 2*u**5 + 3*u**5 - 2*u**5 + (34*u - 8*u + 2 - 5*u)*(u**4 - 6*u**2 + 6*u**2).\nAnswer: 24*u**5 + 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or -0.0682609?\nAnswer: -0.0682609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 + 20*q**2 + 19*q + 50. Suppose 0 = 18*p - 2*p - 336. What is y(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 AM and 9:02 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 43038 - 989688\/23. Which is smaller: 9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 246960 and 660?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -5*f**2 + 3. Let r(y) = -36*y**2 + 20. Determine -3*r(c) + 20*v(c).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 631218 and 2026542.\nAnswer: 38504298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes before 6:57 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 1. Let f be 0\/(-4) + 2 + -4. Let t(x) = -2*x**3 + 2*x - 2. Give f*g(y) - t(y).\nAnswer: 2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-190))\/(444\/4440)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 280*o**2. Let h(s) = -1047*s**2 + 66. Let w(n) = -63*n**2 + 4. Let j(l) = 2*h(l) - 33*w(l). What is j(k(t))?\nAnswer: -1176000*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**2 - s - 5. Suppose 0 = 3*w + 4 - 19. Let t be m(w). Does 3 divide t*(-2 - 36\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 261 divided by -1?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 18058807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.00513300922589 + -0.2.\nAnswer: -0.19486699077411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 126151624 (base 7) to base 5.\nAnswer: 4041202443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes after 4:35 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 28679290?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 1877, -1\/4, -5, 0.1, 32.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 PM and 5:09 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -2*m**3 + 7*m**2 + 5*m - 10. Give s(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7113101.\nAnswer: 7113101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 2061485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -344113030 (base 6) in base 13?\nAnswer: -1416738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 94435 and 99110.\nAnswer: 10010110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3106648163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 239925.77 rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 22433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -3*n, -5*b - 14*n + 17*n + 12 = 0. Factor -7*h**3 + 3*h**3 + 2*h**3 - 3*h**2 - h**b.\nAnswer: -3*h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the second derivative of 5*j**3\/6 - 5*j**2 + j + 725. Let s(a) = -a**2 - 7*a - 7. Let d be s(-5). Let k be t(d). Solve k = -6*x + x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -20*m + 194. Let g(s) = 80*s - 863. Let a(x) = 2*g(x) + 9*z(x). Calculate a(4).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -246\/13 - -3071\/130. Find the common denominator of 59\/2 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -0.4907, -4?\nAnswer: -0.4907","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide (-1 + 66\/10)\/(41\/410)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.05229 times -0.02738\nAnswer: -0.0014317002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**2 + j. Let d(y) be the third derivative of 0*y**3 + 0 - y**2 - 5\/24*y**4 - 1\/10*y**5 - 2*y. Determine 10*b(k) + 2*d(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*k**2 + 31925*k + 13791270 = 0. What is k?\nAnswer: -5919, -466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3749 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2193003 less than -6\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p - 2*t - 8 = 4*p, -2*p = -4*t + 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from huhuhhh?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - -5. Let v be t - 3 - 5\/2. Which is the third biggest value?  (a) 3  (b) v  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 + x**2 - x - 3. Let q be o(0). Let b = -3 - q. Factor -1\/2*u**2 + 3\/4*u**4 + 0 + 1\/4*u**3 + b*u.\nAnswer: u**2*(u + 1)*(3*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 3) + 6 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the third derivative of y**6\/120 + y**5\/6 - 11*y**4\/24 - 7*y**3\/6 + 765*y**2. Determine j(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20626833 to the power of 1\/2, to the nearest integer?\nAnswer: 4542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-45)\/(-48)*(-14)\/12 and -2 - (2170\/(-24))\/7?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 213369 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(1\/4)*u**(-3\/4)*u)**(-8\/7)\/(u**(-8)\/u*(u*(u\/u**(-1\/2))\/u)\/u*u*(u**7\/u)\/((u\/u**(2\/13))\/u)) assuming u is positive.\nAnswer: u**(-67\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence thtt when four letters picked without replacement from hhlhhhltll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 238 and 14539301.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 112 (base 6) in base 16?\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 15*r**2 - r - 1. Suppose -7*i = -3*i - 4. Let c be (0 - (0 - i))\/(-1). Is d(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.056689202 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 6\/10 - 44\/(-220)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -7.98 * -50224.9\nAnswer: 400794.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 673694839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(27\/4)\/((q*q**(-2\/9)\/q)\/q**(3\/4)))\/(q**(-9\/10)*q**(2\/5)\/(q*q**(-4))) assuming q is positive.\nAnswer: q**(47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/7, 4, 3, 81\/5?\nAnswer: 81\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + 0 = x + 1, -v - 2 = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 55836 and 9250164.\nAnswer: 27750492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -228415, 13 in descending order.\nAnswer: 13, 0, -228415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 252 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 494840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 274730 and 50?\nAnswer: 1373650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 2863600 to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bfsbfbdobnoffffsfnfn. What is prob of sequence nf?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 4*s + 31 = 5, 3*m = -2*s - 23. Let y be (-87)\/(-15) + (-1)\/m. Solve 2*x**4 + 7*x**3 + 2*x**3 + 18*x**2 - 3*x**3 + y*x**3 = 0 for x.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 67 + 139. Calculate the remainder when a is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 11 + 23 = 0, -7*y + 4*o = 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2047393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1400009?\nAnswer: 13, 107693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/9)\/((-14)\/9912). Let w = 236 + s. Which is the closest to w?  (a) -2\/15  (b) -16  (c) -3  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000795648 to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5632444?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 + 6 - 61) + (-8 - -8 - -1) + 3.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -418931.323 rounded to the nearest one thousand?\nAnswer: -419000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*f**2 - 2*f + 6*f - 6*f + 2*f**2 - 10 as p*f**2 + q*f + r and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*x = 27*x - 435. List the prime factors of x.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.35984 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/m**6*m**(-3))\/(m**(-4)*m**(6\/5)))**29)**(-50) assuming m is positive.\nAnswer: m**7540","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -348 > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3358279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**2 - 4*a - 1. Let v be (3 + -54)*(30\/(-9) - -2). Let p = -74 + v. What is r(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -40 or -442\/11?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2483\/(-78) - 21\/36*(-22)\/(-77).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - f - 1)*(11 - 11 + 4*f) + 2*f**2 - 2*f**2 + f**2 + (-2*f + 1 - 1)*(102 + 43*f - 102) in the form d*f + m + a*f**2 and give a.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7356457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*24\/(-40)*-2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*s + 59 - 237 = -15*x + 127, 2*x - 5*s + s = 26 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 6113313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -2*v**2 - 21*v - 35. Let i be w(-2). Put i, 0, -4, 5, 23 in descending order.\nAnswer: 23, 5, 0, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 16.408 * -0.07.\nAnswer: -1.14856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) 321571  (b) 4  (c) 1  (d) 0.4  (e) -0.1  (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -11*p + 1 + 9*p + p. Let r(v) = v**2 - 3*v - 2. Let k = -7 + 11. Let y be r(k). Let t(b) = -8*b + 7. Determine y*t(n) - 14*j(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 269612?\nAnswer: 2, 7, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 83716\/5 + -16743. Let d(y) be the first derivative of 1\/15*y**3 + q*y**2 - 38 + 0*y. Suppose d(z) = 0. Calculate z.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -56 + 48.1.\nAnswer: -7.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 24361 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6309193.\nAnswer: 11, 17, 33739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 219962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 2*j + 338 = 0, 0*g + 356 = 2*g - 4*j. What is the remainder when 26 is divided by g\/12 + 2\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 22.1 and -679.\nAnswer: -15005.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -2*b**3 + 2*b**2 + 2*b + 3. Let f(z) be the second derivative of -3*z**5\/20 + z**4\/4 + z**3\/2 + 5*z**2\/2 - 385*z - 1. Calculate -6*f(a) + 10*n(a).\nAnswer: -2*a**3 + 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 68277961 to the power of 1\/2, to the nearest integer?\nAnswer: 8263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -4*i**3 - 13*i**2 - 5*i - 7. Let g(y) = 7*y**2 + 2*y + 5*y + 2*y**3 - 4*y + 4. Give -7*g(z) - 4*q(z).\nAnswer: 2*z**3 + 3*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5 or 658.7?\nAnswer: 658.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1323594892 a multiple of 416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -3*s**2 - 2592*s + 103115. What is z(38)?\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7920 is divided by 29?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 353935.4 years to millennia.\nAnswer: 353.9354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -96 + y + 57 - 2*y**2 + 48 in the form x + c*y**2 + j*y and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -220300840 to the nearest 1000000.\nAnswer: -220000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 + 2*n**2 + 2. Let a(t) = -t**2 + 8*t + 4. Let k be a(8). Suppose -4*m = -6*m + d + k, -3*m + 3 = -3*d. Calculate l(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of -25*g**3\/3 - 9*g**2 + 893. Let z(c) = -4*c. Give z(n(x)).\nAnswer: 100*x**2 + 72*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 1 + (2 - (2 + (-1 - -10)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (18\/(-15))\/((-6)\/80). Suppose 0 = -4*q + c, -2*t - t - 3*q = -15. Suppose 2*x + 2*m = -3*m + 21, -t = -m. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 231 + -162. What is the remainder when m is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, -2, 5, -4.81746?\nAnswer: -4.81746","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w**2 + 2*w + 1. Let x = 25 + -23. Does 9 divide y(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -2*b**3 - 78*b**2 - 214*b + 72. Let g be u(-36). Solve -4*t + 16 = 0, 5*k - t = 1 - g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4647, -4718, -4789?\nAnswer: -4860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16487 - 2*x**2 - 104222 - 2*x + 17146 + 4*x.\nAnswer: -2*x**2 + 2*x - 103563","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8.4 - 8.321. Let s = -0.274 + w. What is s rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3390.27 + -3407. Let s = 24.7 + -25.77. Let p = s + a. What is p rounded to zero decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 287384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 4*y**2 - 3*y**2 - 2*y**2 + 2*y**2. Let p(j) be the second derivative of -64*j**3\/3 - 381*j. Calculate h(p(w)).\nAnswer: 16384*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 11*t + 122. Let r be b(-8). Solve 0 = -r*a + 36*a - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 4 - (-1 + 5 + -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1260841 (base 9) in base 8?\nAnswer: 2502666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2*m)*(405 - 166 + 372) + m + m + 2*m.\nAnswer: -1218*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 52920000 rounded to the nearest one million?\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 2*o + 75, -6*z + o + 51 = -4*z. Let k = 31 - z. What is the second derivative of c**3 - 4*c - c**3 + 8*c**k - 13*c**4 wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1, 8, 21, 38, 59, 84, 113?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 17322603 to the power of 1\/2, to the nearest integer?\nAnswer: 4162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3307*g*r**3 + g*r + 14812*g - 3666*r**3 + 446*r + 3 wrt r.\nAnswer: -19842*g*r - 21996*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 240 + -261. List the prime factors of ((-6)\/i)\/((-8)\/(-28))*161.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 9375092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12 + 12. Let k(z) be the third derivative of 1\/6*z**3 + 0*z - z**2 + 0 + o*z**4 - 1\/30*z**5. Differentiate k(y) with respect to y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 - -34)*(-2)\/4. Suppose 6*r = 4*r - 28. Let z = r - m. Solve -6 = -z*n + n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 34*o**3 + 9*o**2 + 22*o - 11. Let y(f) = 3*f**3 + f**2 + 2*f - 1. Let r(m) = -4*t(m) + 44*y(m). Determine p, given that r(p) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*r - 3*r - 4*s = -1, 3*s + 7 = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -2*o**2 - o**2 + o**2 + o**2. Let b(h) be the third derivative of -h**5\/10 + 177*h**2. What is n(b(j))?\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -5039*0.01\nAnswer: -50.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 12464 (base 8) to base 13\nAnswer: 2617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -22*l + 7*l - l - 20*l + 1 + 43*l**2 + 2*l**3 wrt l?\nAnswer: 12*l + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -174467\/9 - -19385. Sort m, 383, -2 in increasing order.\nAnswer: -2, m, 383","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 799, 794, 777, 742, 683, 594, 469?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.03 - 0.03. Let n = -101 + 67. Let q = n + 35. Which is the nearest to 0?  (a) q  (b) -0.4  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/3  (b) -4  (c) 1  (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 0*v. Let a = -24 - -25. Let b(t) = v + 2 + 0 - a - t. Give b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -816, -3, 2, -2 in ascending order.\nAnswer: -816, -3, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 82443*j - 329749. Calculate c(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 3*z - 200 = 0. Calculate the greatest common factor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79445144 a multiple of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3132648.65 rounded to the nearest one hundred thousand?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*f - 1885 = 13943. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -298, -249, -4 in decreasing order.\nAnswer: -4, -249, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -75, -21, 119, 387, 825, 1475?\nAnswer: 2379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -12*h**2 - 4*h**2 + 3*h**4 + 13*h**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38 + l - 64 + l + 4*l.\nAnswer: 6*l - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the third derivative of -y**4\/24 + y**3\/6 + y**2. What is the units digit of t(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4809269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 158 - 153. Find the third derivative of 14*c**x - 3*c**3 + 3*c**3 - 87*c**2 + 113*c**2 wrt c.\nAnswer: 840*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 41 = -0*a + 3*a, -5*a = 4*n - 64. Calculate the lowest common multiple of 8 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 87339912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 969 and 181089?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -19 + b - 5*b + 16. Let h be o(-3). What is the greatest common divisor of h and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-67)\/(-134)*((-81)\/3 - 5).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-23)\/138)\/((-4)\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**4\/7 + 4*a**3\/7 - 8360*a**2\/7 - 213712*a\/7.\nAnswer: 2*a*(a - 74)*(a + 38)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, b: 7}. What is prob of sequence gg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10 in 4, -0.5, -0.02?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 - 0.1. Let l(p) = -p**3 - 6*p**2 - 2*p + 2. Let c be l(-2). Let n be -2 - -5 - c\/(-3). Which is bigger: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3763980.\nAnswer: 2, 3, 5, 11, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.04452 to two dps.\nAnswer: 3.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101000110011 - 111001?\nAnswer: -101001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the third derivative of p**8\/336 + p**7\/42 + p**6\/12 + p**5\/6 + 5*p**4\/24 + p**3\/6 - p**2. Let b(x) = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) -3  (b) 0.1  (c) 8305\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 160, 304, 448?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 236424 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yttytyttyypyyttyytyt. What is prob of picking 2 y?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10 is divided by (-5)\/(5\/(-4)) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30 + 16 + 8 + 6 - 3*a + 10.\nAnswer: -3*a + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64682368.\nAnswer: 2, 31, 16301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 102442 and 172822.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 - -5. Put 0, p, 5 in increasing order.\nAnswer: 0, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/230 and 57\/1774.\nAnswer: 204010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 29*h**3 - 17*h**2 + 32*h - 12. Give o(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 188*x**3 - 174*x**3 + 26*x**2 - 36*x**2 + 10*x**2.\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**2 - 49*x + 110. Let z be b(-51). Solve z*c = 193 - 177 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 less than or equal to 371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 703701 a multiple of 603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16113991 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -1215137*a + 10 - 136687*a - 1086668*a + 208491*a. Let z be k(10). What is z rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52917709 is divided by 4918.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-71008 + 71008 - 1210*y**4)*(-4 + 7 - 4 - 11) to the form p*y + d*y**2 + r + m*y**3 + h*y**4 and give h.\nAnswer: 14520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15 - 65. Let t = 9531 + -9581.1. Let u = t - b. What is the nearest to u in 0, -2, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 8) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/15 + (-58)\/145. Let j = 0 - -3. Let z = 0.9 + -0.7. What is the nearest to 0 in j, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -17, 0.5, 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40\/2 - 11) + (-8 - (7 - 10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/8*4\/(-8))\/((95\/170)\/(-19))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 2*s**5 + 29890958*s**4 + 209236626*s**3 + 269018442*s**2 - 807055596*s - 1614110976 = 0.\nAnswer: -14945472, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-250)\/70 + (-2 - -6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(-4)\/(-4)*(-21)\/42.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 - 2*r + 45. Let v be i(0). Suppose 19 = -2*f + v. Suppose 0 = -f*y + 10*y. Solve b + 2*c - 4 = 5*b, -2*b + 4*c - 14 = y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.02103 + -0.12103. Which is the smallest value?  (a) u  (b) 18  (c) -11\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, -3, 3, -137231.\nAnswer: -137231, -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8041184 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1183 + 9372b?\nAnswer: 92578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of -3*c**5\/160 + 9*c**4\/32 + 37*c**3\/16 - 495*c**2\/16 - c + 37. Factor i(t).\nAnswer: -3*(t - 11)*(t - 3)*(t + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes after 12:17 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1488687, 2977471, 4466257, 5955045?\n\"Answer: c**2 + 1488781*c - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/3*6\/4. Let p = z + 4. What is the second derivative of -b**p + 2*b**2 + 4*b + 3*b**2 wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*i + 5*b, -3*b = -i + 14 - 0. Suppose -5*v = -2*q - 9, -21 = 3*v - i*v - 5*q. Let n = 105 - 105. Solve -4*d + v - 11 = n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 + 13. Let n = p + -7. Suppose 0 = -3*o + 4 + 32. What is the highest common divisor of o and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -125*r - 20. Let b(t) = 127*t + 17. Give -10*b(i) - 9*h(i).\nAnswer: -145*i + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the third derivative of -b**5\/60 + b**4\/12 - b**3\/6 + b**2 + 53*b. Let k(g) = 3*g. What is 3*h(n) - 2*k(n)?\nAnswer: -3*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2735702 is divided by 6406.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -365, -1004, -2015, -3584, -5897, -9140?\nAnswer: -13499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1026.294 rounded to the nearest 10?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-5\/8)*i*i*i**(-22)\/i*i*i**(-16)*i**(2\/47) assuming i is positive.\nAnswer: i**(-13755\/376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28)\/(-6)*(-2730)\/637.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1686746123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -350.1 - -337.748. Let u = n - 0.048. What is u rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21100, 21093, 21086, 21079, 21072, 21065?\nAnswer: 21058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 90599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -417435 * -0.4.\nAnswer: 166974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 43 = 3*l, -20*d + 245 = -15*d + 5*l. Calculate the lowest common multiple of (-13 - -1)\/(9\/(-6)) and d.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the second derivative of -4*v**5\/5 + v**4\/4 + 17*v. What is the third derivative of b(i) wrt i?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 12:31 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/1*(15 - 15). Solve 3*k + s = -3, 0 = 4*p + 4*k + 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12 + 18. Let w(b) = b + 4. Let i(l) = 3*l + 9. Let m(x) = -4*i(x) + 10*w(x). Let j be m(-4). Calculate the greatest common factor of c and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12825 is divided by 598?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 63 = -5*p + 153, 0 = p - l - 18. Calculate the remainder when p is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 284.6091 months in years?\nAnswer: 23.717425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**2 + 13*g. Is k(8) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 28041897*q**2 - 382982*q - 46.\nAnswer: 56083794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 u, 1 y, and 1 i when four letters picked without replacement from ihhyhyyiut.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of -307*s**5\/20 + 275*s**3\/2 - 85*s**2. Find the first derivative of g(z) wrt z.\nAnswer: -1842*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 2)*(3*a - 5*a + a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 16, 63, 140, 247, 384, 551?\n\"Answer: 15*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -951274*a**3 - 424810.\nAnswer: -2853822*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 2\/3  (b) -379528  (c) 0.1  (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -6*c**2 + 207*c + 39. Let y be i(31). What is the greatest common divisor of y and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -199*n - 10 = -204*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/(j*j*j**(-6\/11))))\/(j**(-4)*j)*j**7\/j**(-2\/27) assuming j is positive.\nAnswer: j**(3424\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4874325*n*v**2 + n*v - 376*n + 27*v + 1 wrt v.\nAnswer: -9748650*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*u - 0. What is the lowest common multiple of (8 - 0\/u)*1 and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 88081.\nAnswer: 7, 12583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 78, 0, -12, 2 in increasing order.\nAnswer: -12, 0, 2, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zawdpdrr. Give prob of sequence wprr.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -133 - -121?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (30*s + 6 + 1 + 88*s - 5 - 3)*(-13*s - 11*s - 11*s) as v*s + h*s**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85*m**3 + 15 - 15 + 14*m**2 + 54*m**2.\nAnswer: 85*m**3 + 68*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 + -7. Suppose -8 - 4 = 3*m. Let j = m + x. Solve j = -l - l - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, -19, -10?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -991875*g*s**2 - g*s + 2825*g + 14*s - 1 wrt s?\nAnswer: -1983750*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-177 - -170)\/((-8)\/40).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(2\/(-4) - -1). Suppose -3*g + 16 = -6*g + 4*d, -2*d = 5*g + 18. What is the closest to -1 in -0.1, x, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 118393 is divided by 897?\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 8*d - 3*d = 0, -d = m - 3. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1225 - 2.7474.\nAnswer: -1227.7474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of -2*u**3\/3 + 39190. Let h(v) be the first derivative of -v**2\/2 + 19*v - 1. Determine h(d(y)).\nAnswer: 2*y**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of 5*y**6\/14 - 9*y**5\/35 - 81*y**4\/14 - 727. Let s(t) = 0. What is t?\nAnswer: -3, 0, 18\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 60053552 and 11960?\nAnswer: 300267760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (1 - 5) - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + n = -12, 5*n - 15 = -5*o. Solve -2*q - q - 9 = o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2854525 or 48526944\/17?\nAnswer: 48526944\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3465 is divided by -3 - 45\/(-3)*450\/125?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 178980?\nAnswer: 2, 3, 5, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 405 + -300. Factor -274*n**2 + 30*n + 134*n**2 + p*n**2.\nAnswer: -5*n*(7*n - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-30))\/((-3)\/(7*24\/(-112)))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4612 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 46\/16 + 3\/24. Suppose 5*g = -3*j + 5, -5*j = w*g - 5 + 2. Suppose b + g = 10. Calculate the highest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = 7*k - 2. Is 13 a factor of 7\/14 + (-414)\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 38  (b) -393\/5  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -5*v. Let c(g) be the third derivative of -5*g**2 - 1\/30*g**5 + 0*g**3 + 0*g + 0 + 0*g**4. Determine c(l(k)).\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**2\/5 + 484074*z\/5 + 96815.\nAnswer: -(z - 484075)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 27 - 7. Suppose 0*n = p*s + n - 77, 0 = 3*s - 2*n - 54. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**3\/k*k*k)\/k)\/(k**(-4)*k))\/((k**(-1\/4)*k)\/k**(-3)) assuming k is positive.\nAnswer: k**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -55, 0, 1, -17, 179 in decreasing order.\nAnswer: 179, 1, 0, -17, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 7 - -2 - 1\/(3\/(-6)). Calculate the highest common factor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20120201122 (base 3) in base 10?\nAnswer: -129563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w = h + 15, -5*h + 2887*w = 2883*w + 53 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (155\/279)\/(35\/(-3)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -6305 divided by 121?\nAnswer: -6305\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.03 and -8756.\nAnswer: 262.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 5*d = 38, -4*d - 11 = -0*i - 3*i. Let l(t) = 4*t + 96. Let n be l(-15). Let b = n - i. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b = -6679*c + 6682*c - 12, 4*b + c = 2*b + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33*3674.\nAnswer: -121242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4621*i - 368 = -4667*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**2 + 55*x + 2. Let i be ((-693)\/(-12)*108\/378)\/((-3)\/10). Calculate p(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4 + 2\/(-6) - (-3)\/9. Suppose -4*o - 8 = z*i - 0*i, 15 = 3*i - 4*o. Let v = -10 + 179\/18. Which is bigger: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1366 - -1364. What is the nearest to 2\/5 in q, -3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:36 AM and 7:12 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**2)**(-2\/87)\/(u**1\/u**(6\/11)))**(3\/8) assuming u is positive.\nAnswer: u**(-479\/2552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, c: 2, z: 2}. What is prob of picking 1 i, 2 c, and 1 z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -10191, -20403, -30637, -40893, -51171?\n\"Answer: -11*u**2 - 10179*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 16 - (-7 - -4) - 5. Let l(c) = -c + 15. Let v be l(k). Is v at least as big as 10\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -78682*(13 + (-185)\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.25  (b) 3\/14  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, -66592 in descending order.\nAnswer: -1, -5, -66592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**3 - 1. Let p(i) = -2 - 2*i**2 + 0 - 3*i**3 + 0*i**2 - 1. Let o(t) = 4*m(t) - p(t). Suppose w = 4*w + 3. Calculate o(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 153514?\nAnswer: 2, 76757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the third derivative of w**7\/35 - w**5\/20 + 7*w**2. What is the third derivative of h(p) wrt p?\nAnswer: 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13882 + 18908 = r + b, -32798 = -r - 5*b. Suppose 0 = -43*p + r + 155251. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 64699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*c + 21*c + 21*c - 66*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -29*y**2 + 10464*y + 12304. Determine l(362).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*r + 10*r - 8*r - r - 4*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 63*c**2 - 23*c + 310. Let i(l) = 38*l**2 - 12*l + 154. Determine -3*b(y) + 5*i(y).\nAnswer: y**2 + 9*y - 160","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/7*(-11662)\/(-714).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 41275 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - -10000000110110100?\nAnswer: 10000000110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -108 at most -108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-8)\/(-5))\/(1\/5). Let y = x - 4. What is the smallest common multiple of 10 and 16\/y*1\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-23)\/(-7) + (-90)\/315. Suppose 369 = -a*i + 378. Solve -3*l = -9 - i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 419 divide 47170182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-100)\/350)\/(1\/(-21)). Let k be ((-9350)\/z)\/(11\/(-264)). Round k to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 182956.\nAnswer: 2, 53, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001294552982 rounded to 7 decimal places?\nAnswer: 0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 1:48 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -4  (b) -1\/7  (c) -3  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/10 + 8\/(-5). Let a be 3 + c + -1*2. Suppose 0 = 175*n - 167*n + 24. What is the closest to a in n, -4\/5, -0.1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 20 = y, 3*y - 4*y + 17 = -3*w. Suppose z - 20 = -0*r - r, -y = -z + r. Let c = 62 - z. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of -1\/16*n**4 - 3 + 0*n + 0*n**2 + 1\/4*n**3. Factor h(i).\nAnswer: -i**2*(i - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1c6 (base 13) to base 3\nAnswer: 110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -13 + 13 + (8 - 7)*(0 + 4133). Round b to the nearest one hundred.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -619 + 541 - 585*g + 587*g - 795 in the form f*g + n and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7950 and 424.\nAnswer: 31800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.881043, -0.4, 0.4, 0.5 in descending order.\nAnswer: 0.5, 0.4, -0.4, -0.881043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 - 11 + 7)*(-5 + 1 + 2)*(-520 + 520 - 116*i**4).\nAnswer: -4408*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*t**2*v**2 + 17*t**2*v - t**2 - 2357*t*v**2 - 202*t*v + v**2 - v wrt v.\nAnswer: 8*t**2 - 4714*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 89446334 to the power of 1\/3, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5824 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3401 + 3401. Solve z = 42*j - 61 - 107 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -70.999937 + 71. Round z to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0012775767 to seven decimal places.\nAnswer: -0.0012776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/350448 and -45\/8.\nAnswer: 350448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**2 + b + 1. Let h(r) = 4*r**2 - 8. Let u(i) = i - 9. Let l be u(8). Let a(j) = l*h(j) - 5*z(j). What are the prime factors of a(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 2:12 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 30*r + 1. Let o be h(8). Let z = o + -152. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20359\/210 + 691\/7. Find the common denominator of 89\/366 and n.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 - 11*k**2 - 16*k - 20. Calculate the remainder when j(13) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzu when three letters picked without replacement from {u: 2, f: 11, z: 2}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(704) + 0 + sqrt(11))*2*-5.\nAnswer: -90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 152*b**3 - 2*b**2 - 726 wrt b.\nAnswer: 456*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 2:23 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4400 divided by 146.\nAnswer: -2200\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-42))\/(357\/(-714))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -54.3065 - -53.43. What is q rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 3 + -1 + 1 + -7 + 8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -24 - -45035456?\nAnswer: 45035432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-5*(-1 + 2*2*sqrt(99) + 0 + sqrt(99) + 4)*3)**2*-5.\nAnswer: -69862500 - 2531250*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2764, -856, 1052, 2960?\n\"Answer: 1908*u - 4672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 110011000110010010 (base 2) in base 7?\nAnswer: 1531125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4837088*w**4 + 2*w**2 - 2703647 wrt w?\nAnswer: -19348352*w**3 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 v when three letters picked without replacement from hlpvvvzjvhjp.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 4\/5  (b) -25  (c) 0.06  (d) -0.23  (e) -1\/13  (f) -4\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 89075301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -10785, -10768, -10749, -10734, -10729, -10740, -10773?\n\"Answer: -x**3 + 7*x**2 + 3*x - 10794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and -0.0101446.\nAnswer: 0.00304338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1116849 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 188*4\/(19 + -3). Let z = -24 + h. Is z a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*d - d + 3*d - 5*d + 5*d - d + (-1 - 2 + 1)*(-2*d + 1 - 1) + d - 4*d + 7*d + 0 + 0 - d + (-1 + 3 + 0)*(1 - 2*d - 1) + 4*d - 6*d + d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 1 - (6 - (1 - (17 - 14)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6313.33um to meters.\nAnswer: 0.00631333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p. Suppose 3 = -17*m + 18*m. Give x(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1432943 + -2)\/1*(84\/(-21))\/20 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 + -2. Suppose p = y + y. Solve 0 = -3*a - 12, -2*a - y = -3*c + 19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 448661 is divided by 149518?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**2 + 29*m - 158. Let o be u(8). Solve o*q + 3 = -37 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9.356 or 2\/3?\nAnswer: 9.356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2274221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = u - 2*y - 15, 4*y = -3*u - 73. Let v = -16 - u. Suppose -v = -3*d - 0. Solve 4*s + x = 2*x - 17, -d*s + x = 22 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -5*h - 5*m, -3*h + 2*m + 0*m + 6 = 0. Suppose 0 = -2*y + y + h. Let w = y + 17. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1215645527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25 - (3 + 56) - -24.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1548549 to the nearest integer?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -4*v**2 - 2*v**2 + 2*v**2. Let s(z) = -1 + 1 + 2*z. Calculate s(f(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -502 - -530. Solve 0 = r - 31 + q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(84)\/(sqrt(432)*1) + 4 - ((-2*sqrt(7)*-3 - (sqrt(7) - (2 + sqrt(700))))**2 + 2).\nAnswer: -1577 - 359*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from {l: 13, w: 3, c: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 3*h = -3*p + 125, 2*p - 3*h - 76 = 0. Does 36 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1632438 divided by 6?\nAnswer: 272073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 + 6 + (3 - 5). Let d(p) = -3*p - p**2 + 3*p + 8*p + 2. Let x be d(a). Solve -3*q - 2*z - 8 = 0, 6 = -2*q + 3*z + x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -128*o**2 - 8*o - 8. Let x(s) = 85*s**2 + 5*s + 5. Calculate 5*w(a) + 8*x(a).\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 92.00799ml to litres.\nAnswer: 0.09200799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.10491 - -0.29509. Let o be 0 + (4 - 2) + -2. Let l be ((-2)\/3)\/((-8)\/4). Which is the third biggest value?  (a) l  (b) o  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4851\/(-462)*-6089*2\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5709076+1.4649\nAnswer: -5709074.5351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/530 and 13\/2226.\nAnswer: 11130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*i**3 - 3*i**3 + 4*i**4)*(1 + 1 + 1) + (0 - 1 + 2)*(-2*i**4 + 4*i**4 + i**4) as m*i + y*i**3 + v + p*i**4 + t*i**2 and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -3*v**2 + 185*v + 558. What is p(-3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-5)*5\/(20\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -821602 less than or equal to -7394410\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 550053848.\nAnswer: 2, 68756731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 + 11*h + 22. What is a(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 5*f = 3*g - 8, -5*g + 10 = 2*f. Solve 0 = -3*v - 5*h + 10, g*v - 4*v = -3*h - 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 - 4*o**2 + o - 12. Determine z(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 k when three letters picked without replacement from {v: 4, e: 1, k: 6}.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -92*f**3*s - f**3 - 10*f**2*s + f**2 - 2*f wrt f?\nAnswer: -552*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.2 + 0.2. Let t = -1 - -6. Let x = t - 5.1. Sort x, -1, p in increasing order.\nAnswer: -1, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -77, -99, -159, -275, -465, -747, -1139?\nAnswer: -1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (3\/2)\/((-150)\/21 + 8)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -84659*m**3*u**4 + m**3 + 16*m**2*u + 99*m*u**2*w - m*u*w - u**4 + 3*u**3*w + 2*u*w wrt u.\nAnswer: -2031816*m**3*u - 24*u + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2 - 11546373*x + 23092742.\nAnswer: (x - 11546371)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the first derivative of 8*p**3\/3 + 3*p**2 - 44. What is the units digit of q(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of 0*c**2 + 0*c - 83 + 2\/3*c**3. Let p(d) = -2*d + 4. Calculate m(p(s)).\nAnswer: 8*s**2 - 32*s + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 3*f**3 - 103*f**2 - 3. Let v(z) = z**3 - 34*z**2 - 1. What is -2*o(g) + 7*v(g)?\nAnswer: g**3 - 32*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -39 - -43. Suppose 5*h + 5*u = 30, -3*h + 0*h + w = -4*u. Let g(q) = q**2 - 5*q + 5. Calculate g(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*n - 18*n = 55 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*u**3 - u**3 - 3*u**3)*(-14*u + 12*u - 4*u) - u - 2*u**4 + u + 2*u**4 + u - u)*(5 + 1 - 5).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 164756260, 164756263, 164756266, 164756269?\nAnswer: 164756272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 243 (base 10) to base 11.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.2 + -2. Let j = -0.2 + n. Let t = -0.28 - -0.08. What is the nearest to 1\/4 in -4, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 3 = 8*r - 0, 0 = 2*r + 5 + 1 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/23 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 853 + -323. Let y be 3\/(-18) - (i\/(-12) - -1). Suppose y = r - 30. List the prime factors of r.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 70 - 2*f**2 + f**2 - 73. Give r(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the second derivative of r**7\/420 - r**5\/40 - r**4\/8 - r**3\/3 + r. Let m(g) be the second derivative of l(g). Is m(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wjpvzvm. What is prob of picking 1 v and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 3*c + 24, 0 = 3*k + 2*c - 4*c - 19. Suppose 4*h - i - 1 = 4, 2*h - 3*i + 5 = 0. Solve -k*l + s = -5, h*s = -5*l + 5*s + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 25*u = -20*u, -3*l = -u + 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13)*-3*5 - sqrt(13)) + sqrt(13) + 2*sqrt(117) + -3 + (1 + -3*sqrt(13))**2 + -3.\nAnswer: -15*sqrt(13) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 145485\/1300 + 0 - 2\/(-8). Let x = -3089\/20 + 8317\/260. Let y = i + x. Find the common denominator of y and -16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -2*v. Let p(j) be the first derivative of -3*j**2 - 1 + 6 + 12. What is w(p(r))?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k**2 - 19903. Let a(p) = -3*p. What is o(a(w))?\nAnswer: 18*w**2 - 19903","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 320 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -0.37.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of 2*t**5\/25 - 11*t**4\/5 + 118*t**3\/15 - 38*t**2\/5 - 2906. Factor z(v).\nAnswer: 2*v*(v - 19)*(v - 2)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*j + 7*j + 9, 4 = 4*h + 4*j. Let y be 1*(-17)\/h*28. What is the highest common factor of y and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -0.0287  (b) -1\/4  (c) -3  (d) -15\/2  (e) -0.5  (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4 - (-4 - 301)\/5. Let d = 66 - u. Put 2, d, 4 in descending order.\nAnswer: 4, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes after 9:45 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 27\/2 of a century?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 65*f**4 + 66*f**3 + 6*f**2 + 5*f. Let n(d) = -33*d**4 - 33*d**3 - 2*d**2 - 2*d. Suppose 5*i - 6*i = 5. Let g(j) = i*n(j) - 2*z(j). Solve g(y) = 0.\nAnswer: -1, 0, 2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -299627 divided by 4.\nAnswer: -299627\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 6. Let s(h) = 105*h - 11 + 5*h**2 + 3*h**2 - 114*h + 3*h**2 + 0*h**3 + h**3. List the prime factors of s(t).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -249825*g**4 - 22*g**3 + g**2 - 647*g - 1303 wrt g?\nAnswer: -2997900*g**2 - 132*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t = 2*c - 40, 0 = 6*c + t + 4*t - 83 - 38 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 9292052 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -3*t**2 - 16*t - 2. Let q(x) = x**2 + 1374*x - 5508. Let o be q(4). What is d(o)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10001743 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 divided by 6194311?\nAnswer: 19\/6194311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5\/2 in -2\/15, 328, -0.5, 0.07?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 68792.43138 rounded to the nearest one hundred?\nAnswer: 68800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5482633.69 - 92307.\nAnswer: -5574940.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -31 - -21. Let f(l) = -l - 4. Let m be f(-5). Let n = m - z. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 976*i - 14547. What is v(14)?\nAnswer: -883","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.5 - 0.8. Let l = s - -5. Which is the smallest value?  (a) l  (b) -0.2  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -4*u**2 + 7*u - 37. Let h(q) = -q**2 + 2*q - 9. Let m(w) = -9*h(w) + 2*k(w). Let r be m(3). Suppose a - 40 = -r*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -72257 divided by -104\nAnswer: 72257\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the third derivative of m**9\/3780 - m**5\/60 - m**4\/6 + m**2. Let k(o) be the second derivative of f(o). What is the first derivative of k(z) wrt z?\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -2*n**2 + 7*n + 6. Let v(h) = -h**2 + 7*h + 6. Let w(p) = -2*l(p) + 3*v(p). Give w(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 331 = 4*r + 7. Differentiate 116 - 74 - r - 23*i - i with respect to i.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42.63078t in milligrams?\nAnswer: 42630780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(20)\/(2*sqrt(72)))\/((sqrt(72)*2 + sqrt(72))*5).\nAnswer: sqrt(5)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 130, 239, 340, 427, 494, 535, 544, 515?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2070 = m + 576. Let f be m\/(-5346) + (-1)\/9*2. What is the second smallest value in f, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 311 a factor of 27259461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 43\/2 of a second?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 74 + -73.93. Let l = k + -0.15. Let r = l + 0.0800144. What is r rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {e: 4, o: 2, a: 1, s: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r = 5*j + 11, j + 6 - 12 = -7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -3*i**2 + 5*i - 5. Let n(y) be the first derivative of y**3\/3 - y**2\/2 + y - 22. Let m be (10\/2)\/(2\/(-4)). Give m*n(d) - 2*l(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 + 373611?\nAnswer: 373612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 348492 and 2294496?\nAnswer: 3084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 452187873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 57*j**2 + 44*j + 393. Is c(-26) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 763 and 763 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 156 (base 11) to base 7.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8 and 5010.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 945 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 93581824269603 and -0.4.\nAnswer: 93581824269602.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 207658 (base 11) to base 3\nAnswer: 121212201000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 + p - 1. Let s(i) = -3*i**3 - 3*i**2 - 3*i + 3. Suppose -2 = -u + 1. Let j(k) = -k**3 + 3*k**2 + 1. Let h be j(u). Give h*s(q) + 3*c(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 3*b + 1 = 0, 2*d - 2*b = -2*d + 14. Suppose -4*u + 2*o = -54, -2*u + d*o = -0*u - 39. Calculate the remainder when 42 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -12700000 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 5*g - 8*g - 39, 4*t - 34 = -2*g. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 264 = 74*h - 146*h + 64*h for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -651*y - 118*y = 153*y - 48866 for y.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from srcfsxcsxfscxrcf. Give prob of picking 2 f, 1 r, and 1 s.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 5 = 6*k. Let s be ((-84)\/15)\/(k\/25). Let y be (-4)\/s + (-105699999)\/7. What is y rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*(u*u\/((u**(-1\/14)\/u)\/u))\/u)\/u**(-19))\/(u**8)**7 assuming u is positive.\nAnswer: u**(-461\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00292088919 rounded to four dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 47309149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2201221 (base 3) to base 7\nAnswer: 5551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:50 PM and 10:50 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 9*(-5)\/(-15) + (-176)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - o + (20 - 2 + 8)*(-4*o + 2*o + 0*o) + o - 2*o + 2*o.\nAnswer: -52*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = -7*j - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3 + -4 + 0)*3. Is 6\/(-9) - 101\/k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -28, -57, -86, -115?\n\"Answer: -29*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 29908 divided by -7477\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gwkqmwikqwk. Give prob of sequence qkmq.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 219310953.\nAnswer: 3, 73103651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 0. Suppose -2*s = 3*a - 14, 44*a + 4*s - 24 = 39*a. Solve b - 4 + 11 = -2*z, 0 = y*b + a*z + 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 962.2409ml in litres?\nAnswer: 0.9622409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*y + 868 = 38*y. Suppose y*j - 190 = 554. Find h such that j*h + 3\/2*h**2 + 9\/2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 8*n - 107. Let u be o(14). Suppose 4*l = 3*l + u*p + 3212, -3*l = 2*p - 9687. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(88)\/sqrt(4))\/sqrt(2) - sqrt(11)) + sqrt(11) - 1*sqrt(44)\/sqrt(4)) + (sqrt(704) - (sqrt(704) + -3)) + -3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 13772210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*j + 15*j = -j + 56. Let c(h) = 26*h + 6. Calculate c(j).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 - -2. Suppose -n*a - 2837140 = -14337140. Round a to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5153783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1366 + -1989. Let k = i + 627. What is the second biggest value in 0, k, -4, 74?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4342 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14463090 and 1242?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -0.4, 0.59?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*g - 2*g - 21*g**2 - 2*g in the form k*g**2 + r + v*g and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = f - 11. Calculate the greatest common divisor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-42)\/(-88))\/(-7))\/(639\/284)?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -30*l**3 + 6*l**2 + 2*l + 6. Let z(t) = -65*t**3 + 12*t**2 + 4*t + 14. Calculate -9*j(x) + 4*z(x).\nAnswer: 10*x**3 - 6*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -116 - 3*b + 219 - 98.\nAnswer: -3*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-3\/5))**(-28) assuming o is positive.\nAnswer: o**(-224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -68*p - 208. Let w be j(-3). Let l(k) = -4*k**2 + k + 3. Let b(m) = 4*m**2 - 2*m - 4. What is w*l(s) - 3*b(s)?\nAnswer: 4*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 - 18. What is the nearest to -1\/3 in 15, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1419024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: a9 (base 15) to base 6\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 279357.41 + -0.3\nAnswer: 279357.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(((sqrt(63) - (-5 + (sqrt(63) - (-2 + sqrt(63))))) + sqrt(378)\/(sqrt(6)*2 + sqrt(6)))**2 - ((sqrt(700) - -1*(sqrt(700) + sqrt(700) + 0))**2 + -4)).\nAnswer: -24*sqrt(7) + 6175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2720636 (base 8) in base 6?\nAnswer: 24201010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((6\/11)\/(-3))\/((2\/(-825))\/((-68)\/(-102))).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 132*o + 45*o + o + 3*o**2 + 141*o to the form t + d*o + s*o**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 333 and 35409?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xlflfllffelfff. What is prob of picking 1 f and 3 l?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -331 - -333. Suppose 0 = 7*b + j*b + 2*b. Solve b = 5*c - 12 + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*j + 4*j - 3*j)*(-j + 4*j - 5*j) + 17*j**2 + 67*j**2 - 10*j**2 in the form u*j**2 + q*j + v and give u.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 + 3*g**2 - 4*g + 3. Let o be x(-4). Suppose 12*v = -v. Put 1, -3, v, o in descending order.\nAnswer: o, 1, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1964*k**4 + 3211*k**3 + 34611708*k**2 wrt k?\nAnswer: 47136*k + 19266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 20 = 3*g. What is the second biggest value in g, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.102 - 0.102. Let q = -6.009 - -0.009. What is the fourth biggest value in 5, z, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -20 + 12653?\nAnswer: 12633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23, -81, -187, -347, -567, -853, -1211, -1647?\nAnswer: -2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 3885*y - 266. Give p(0).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 279*n + 444*n**2 - 279*n - 1809*n**2 + (2*n - n + n)*(4*n - n - n) - n + n - n**2.\nAnswer: -1362*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the third derivative of -s**7\/210 - 7*s**6\/60 - 11*s**5\/60 + 13*s**4\/12 - 254*s**2. Solve v(n) = 0.\nAnswer: -13, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/((-12)\/76) + -2136*83\/(-1992)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {w: 4, p: 2, h: 4, m: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 12*n**4 - 12281313*n**3 + 82898388*n**2 - 73687152*n - 245624640 = 0.\nAnswer: -5\/4, 4, 1023436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 + 13. Suppose 4*i + r + 17 = 0, -u*i = r + 7 + 2. Is 13 a factor of 13\/i*(-9 + 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13132 and 145236.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + o + 28 = 0, -3*v - 31 = 5*o + 25. Is v\/18 + (-64)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(468) + sqrt(52))\/sqrt(4) + (1 + sqrt(1872))**2)*5*3.\nAnswer: 420*sqrt(13) + 28080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1757 by -683.\nAnswer: 1757\/683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -177 + 175 - 3996*d - 1230*d as u + n*d and give n.\nAnswer: -5226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 - 13*v**2 - 11*v + 40. Give b(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(19) + 0 + -5 + 3)*1 - ((sqrt(475) + (sqrt(475) - (sqrt(475) + sqrt(475)*-2 + -1)) + sqrt(475) - sqrt(475))**2 - (sqrt(475) + -1 + -4))).\nAnswer: 120*sqrt(19) + 21415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -316 - 37141*b**3 + 37145*b**3 + 165 + 151.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 40806*w**2 - 9068*w - 9068. Let p(s) = 4*s**2 - s - 1. Determine m(b) - 9068*p(b).\nAnswer: 4534*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of -26*c**3\/3 - 99. Let j(x) = -3*x**2. What is j(k(y))?\nAnswer: -2028*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 15353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**3 + 1185*m**2 - 117609*m + 116427.\nAnswer: -3*(m - 197)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 5097 (base 14) to base 7\nAnswer: 55250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -13. Let m = 43973 + -43968. What is the nearest to x in -3\/7, m, 3, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -166411*k + 998479. Give m(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 23616724?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 84321, 84343, 84381, 84435, 84505?\nAnswer: 84591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4895\/4 + 1233. Find the common denominator of 87\/(12\/(-3 + 0)) and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/(-4)*(-26060)\/2. Let p = -20330 - r. Round p to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7517*w + 49356 = -7505*w. List the prime factors of w.\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c + 8. Let t be b(-7). Let k be 2 - 0\/(t\/1). Suppose -15 = -k*v - 1. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -667 + 12850. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (-1 + 4 + -2)) + (1370 - 1377)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -4*q**3\/7 + 64*q**2 - 9424*q\/7 - 184512\/7 = 0.\nAnswer: -12, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 10*k + 36 = 6*k, -2*y = -4*k - 56. Solve 2*m - y = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1127 + -1121. What is the highest common divisor of o and 600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -15*v**3 + 4 + 16*v**3 + 10*v**2 - 12 - 8 - 14*v. What is the remainder when y(-11) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1972*d**3 - 4011*d**3 + 1875*d**3.\nAnswer: -164*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 376 a factor of 296166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 725 - 677. What is the least common multiple of m and 216?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*w**3 - 5280*w + 522*w**3 + 274*w**3 + 1725*w**4 + 125*w**5 - 4965*w**2 - 1675*w**2 - 1040 = 0. Calculate w.\nAnswer: -13, -2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 32.989 + -33. Let v = 2.989 - z. Which is the second smallest value?  (a) 0.2  (b) v  (c) 1  (d) 14\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2  (b) 134  (c) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 975 - 1668?\nAnswer: -8b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/(h\/(h**(-2\/23)*h))*(h**46*h)\/h*(h*h\/(h**(10\/3)*h*h)*h)**(-39) assuming h is positive.\nAnswer: h**(3172\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 30 + 18. Let m = -10 + x. Suppose m*j - 97 = -5. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 39 = 3*l, -l + 2*i + 0 = -7. Calculate the lowest common multiple of l and 144.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 78839, 157678, 236517?\n\"Answer: 78839*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of -m**4 + 44*m + 16. Differentiate b(j) with respect to j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the second derivative of 0*v**2 - 3*v + 1\/6*v**3 + 0 - 1\/6*v**4. What is the second derivative of x(q) wrt q?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -27*o**5 - 3*o**2 + 3 + 3871*o - 3871*o - 2*o**2 wrt o.\nAnswer: -1620*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*u + 4*u + 4 + 3.\nAnswer: -4*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h - 6. Give d(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 + 160?\nAnswer: 15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**0)**(6\/7)*((v*v**(1\/2)*v*v*v)\/v)\/(v*v*(v*v\/v**(-7))\/v) assuming v is positive.\nAnswer: v**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.422654 grams in milligrams?\nAnswer: 4422.654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 4*z - 1. Calculate s(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -12455 - 4*u + 25161 - 12704. Let y(w) = 8*w - 13. Let d(m) = 2*m - 3. Let p(i) = -18*d(i) + 4*y(i). Give -4*n(x) + 3*p(x).\nAnswer: 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 - 6*j**2 + 3*j + 8. Let d be o(6). Let f = 11 - d. Let u = f - -23. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0 and -0.118.\nAnswer: -0.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 13*w**2 + 2*w + 4. Let h(x) = -14*x**2 - 3*x - 5. Give 2*h(i) + 3*l(i).\nAnswer: 11*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 552 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**3 - 7*m**2 + 128*m - 442. Determine h(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 20*i + 168. Give g(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -2*q**2. Let v(m) = -m - 6. Let r(a) = -1. Let h = -9 - -10. Let g(o) = h*v(o) - 6*r(o). Let b(x) = 9*x. Let w(y) = b(y) + 3*g(y). Determine w(k(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((7\/(70\/(-5)))\/(-1))\/(4\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11135, -40048, -88239, -155708, -242455, -348480, -473783?\nAnswer: -618364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the third derivative of m**5\/60 + 7*m**4\/24 + 2*m**3\/3 + 7*m**2. Let i(b) = -b**3 - b**2 + 4*b - 3. Let k be i(2). List the prime factors of d(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 2 = -3*k, -4*k = -5*u + 16 + 12. Let x be (-3 + 1)\/((-2)\/u). Let 6*a**3 + 3*a**x - 6*a**2 - 3*a - 3*a**5 - a + 2*a - a + 3 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*j**3 + 158*j**3 + 76*j**3.\nAnswer: 213*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002099 to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 15713809 - -3552\nAnswer: 15717361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.09 less than 49034?\nAnswer: 49035.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 26\/10*(-174)\/(-1131)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 84679*u - 4403325. Give y(52).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -962984*l**3 + 60*l - 60*l - 1515119*l**3.\nAnswer: -2478103*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3286, 4097, 5448, 7339, 9770, 12741?\nAnswer: 16252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 4044879, 4044852, 4044825, 4044798, 4044771?\n\"Answer: -27*i + 4044906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -22*d + 8*d + 6*d. Calculate the remainder when (-4 - 2\/(-2))*-5 is divided by o(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-8463)\/(-182))\/(-31))\/(54\/(-16)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7095 is divided by 6220?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -8 - 2*o**2 + 11*o - 27*o + 5*o + 14*o in the form d*o**2 + x*o + b and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (-2 - -9) - 8 - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*k - 8758 = -27*k - 127*k - 9*k for k.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 53980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 226 a factor of 24322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - p = 15. Put p, 1, -4, -5 in descending order.\nAnswer: p, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 6 - 1)*(-1 - 3 + 1)*(-2*v - 2 + 2).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 - 4*t**2 + 3*t + 4. Let j be 7 + 428\/(-60) + (-290)\/75. What is s(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 89 + 1 + -2 + -65 + 166 + -112?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 - -16. Let b = 1 - -1. What is the derivative of -b + 3*i + 2 + 7 - o wrt i?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 164492 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*r - 3*r + 42*r**3 - 2*r + 3*r wrt r.\nAnswer: 252*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 4 = 2*b. Let w = -55\/266 + -3\/38. Is w not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (2*sqrt(84)\/sqrt(4))\/sqrt(3))**2.\nAnswer: 8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 96.4795.\nAnswer: 28.94385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1a8 - -4545b?\nAnswer: 45614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*p - 37*p = -28614. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 637, 1274, 1911, 2548?\nAnswer: 3185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46\/5 + (-1692)\/90 + 19*(17 - 16).\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + (4 - -7) + -3 + 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1446*m**3 - 3610*m**2 wrt m?\nAnswer: 8676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -5*o + 7*o**2 + 15*o + 5*o**4 - 10*o. Let w(v) = 4*v**4 + 6*v**2. Let h(d) = -5*w(d) + 6*y(d). Find the third derivative of h(q) wrt q.\nAnswer: 240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 4 + 4)*((-4 + 4 + u**3)*(-2*u + u - u) - 2*u**4 + u**3 - u**3) + (-u - u + 4*u)*(0*u**3 - 2*u**3 + 0*u**3) + 2119*u**2 - 197*u**4 - 2119*u**2.\nAnswer: -213*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tiyyyttititttyi. Give prob of picking 1 t and 2 y.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 24\/(2\/(16\/(-12))). Let h = -11 - j. Put 2, 4, h in increasing order.\nAnswer: 2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10943.56686 + 10944. Let f = g - 0.253. Let n = f + -0.18. Round n to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 91394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of 0*x**3 + 0*x + 0*x**6 + 1\/24*x**4 + 0*x**7 - x**2 + 1\/336*x**8 + 0*x**5 + 0. What is the second derivative of f(p) wrt p?\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20 + -10. What is the units digit of (-4)\/l*(-20)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 15 = 21. Let h = u + 0. Let w = h - -13. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13895600 rounded to the nearest 10000?\nAnswer: 13900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5 in 0.4, -1\/6, 10\/7, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.2 + 0.3. Suppose -5*p - 42 = 3*r, 32*p = -5*r + 36*p + 4. What is the fourth biggest value in n, -0.3, r, 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(-15)*325\/(-1820)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the third derivative of 0 + 1\/270*i**6 - 4*i**2 + 0*i - 1\/945*i**7 - 1\/270*i**5 + 0*i**4 + 0*i**3. Suppose k(f) = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 46388207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/9, -2\/7, 0.5, 2, 4, 1, 0.205?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7923391 rounded to 2 decimal places?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/3324 and 93\/554.\nAnswer: 3324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 8*l + 6. Let h = -62 + 69. Let u(z) = -6*z - 7 - z - 2*z. Determine h*y(k) + 6*u(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -5, 0 = -5*g + 2*h + 3*h + 35. What is the remainder when 18 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2*(-8457)\/33 + -2. Let c = 515 + k. What is the common denominator of ((-51)\/21 + -2)*1 and c?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*f**3 + 152260*f**2 - 76081*f**2 - 76137*f**2 + 3 to the form h*f + l*f**2 + s*f**3 + n and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 8122884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p - 9. Let j(n) = 1. Give -c(t) - 3*j(t).\nAnswer: -t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 14507027543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, e: 1, r: 1}. Give prob of sequence er.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 82806 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v - 1. Let j(c) = -128 + 3*c + 128 - c. Give a(i) - j(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28027639?\nAnswer: 23, 103, 11831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 62507?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 342493063?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 73 in -3, -416, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {d: 7, u: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 31 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000394997141 rounded to 6 dps?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14566 (base 9) to base 16.\nAnswer: -26d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -1\/4  (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -10163015823727 - -6?\nAnswer: -10163015823721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 5*x - 15 = 0, 15*d - 12*d + 3*x + 9 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 363*w**3 + 338481*w**2 - 184707*w + 25191.\nAnswer: 3*(w + 933)*(11*w - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -29*i**2 + 11*i - 7*i + 30*i**2 as m*i**2 + d + f*i and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f - 5. Let u be z(6). Suppose 2*v - u = -5*s, 8 = -2*v + 5*v + s. Find the third derivative of 3*d**2 + d**v - d**3 - 2*d**6 + 4*d**6 wrt d.\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, -5, 1, -6, 536 in increasing order.\nAnswer: -6, -5, -3, 1, 4, 536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -8, -0.5.\nAnswer: -8, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 446*v - 451*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11990540\/679749903 - 4\/374931. What is the common denominator of 59\/245 and t?\nAnswer: 9065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 2*k**2 + 18*k - 18. Let x be a(-10). Find the first derivative of -11*t - 61*t**2 + 130*t**x - 67*t**2 - 36 wrt t.\nAnswer: 4*t - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) + -5 + (sqrt(90)\/sqrt(2))\/sqrt(9))**2 - sqrt(30)\/(1*sqrt(12)\/sqrt(2)).\nAnswer: -31*sqrt(5) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 163376910?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4 - 3 - 0\/4. Suppose 3*d + k - 10 = 0. Calculate the remainder when 13 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9954*h**2 + 183753*h wrt h.\nAnswer: 19908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 74\/1435 and -11\/211806.\nAnswer: 1059030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 19 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 2*p**2 + 4*p + 2. Let n be k(-3). Let f be 6\/n + 171\/(-36). Is 12 a factor of 2\/f - (-47)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1230707?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32 and 864?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 16*(-1 - 2\/8). Let h = q - -27. Let d(c) = -h*c + 8*c + 2*c. Let p(o) = 4*o**2. Give p(d(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1757 + b?\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + (-464)\/48)\/(2\/3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 244091774 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, 0, -2 in increasing order.\nAnswer: -2, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = -4*o - 2, 0 = o + 2*b - 60 + 55 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2013\/44)\/((-9)\/(-96)). Let j = -323 + h. Calculate the highest common factor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - (-3 + 0)) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 - 19 = 5*g. Let q = g - -25. Calculate the remainder when q is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**2 + 9*i + 13. Give j(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2*c**2 + 31*c. Let u(d) = -5*d + 3. Give m(u(k)).\nAnswer: 50*k**2 - 215*k + 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(2700))\/(4*(sqrt(18)\/sqrt(2) - sqrt(9)) - sqrt(9)))**2*-6.\nAnswer: -7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 108586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_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: Let r = 3.301 - 1.692. What is r rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-45)*x)\/(x\/x**(-43)))\/(x**(-22)*x\/(x*x**(-1\/57))) assuming x is positive.\nAnswer: x**(-3763\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 56612878 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 + 2*d. Let f(o) = 18 + o - 19 - 2*o - 3*o**2. Let y(h) = 3*h**2 + 1. Let r = 13 - 8. Let q(m) = r*y(m) + 4*f(m). Determine -2*q(u) - 5*s(u).\nAnswer: -u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -b9770c (base 14) to base 11\nAnswer: -3601073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 12 = -2*h. Let r be (-4)\/(h\/(-57)) - 3. Let n = r + 50. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 419.3356848 rounded to two decimal places?\nAnswer: 419.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - y = 818. Let o = y + -474. Suppose 3*j - o + 68 = 0. Is 23 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**2 + t - 1. Let a = 37 - 39. Let g(x) = -x + 2. What is a*y(n) - 2*g(n)?\nAnswer: -2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 93794279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -828*v - 2 = j - 827*v, -v + 19 = -2*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**11*b)**(-21\/5)\/(b\/(b\/(b\/b**(-21)))*(((b*b**15)\/b)\/b)\/b*b) assuming b is positive.\nAnswer: b**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -247 + 319. Let q be (-9256)\/22 + g\/(-264). Round q to the nearest 10.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:59 AM and 8:18 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 28*f - 928 + 1516 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, s: 5}. Give prob of picking 3 s.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 6*k**2 - 4*k + 2 + 3*k**3 + k**2 - 9 - 4*k**3. Let b be a(6). Suppose b*s + 131 = 4*q, 3*q + 0*s + 3*s = 132. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -176*k**2 - 6*k + 16. Determine x(-2).\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/10 in -97, -3, 10, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 68395 - 68392. Suppose 0 - 2\/5*b + 2\/5*b**o + 0*b**2 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 23 - 4)*(-174 + 174 + 93*p**2 + (2*p + 0*p - 4*p)*(3*p + p - 2*p) + 0*p**2 + 2*p**2 - 3*p**2).\nAnswer: 1496*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s**2. Let j(k) be the first derivative of k**5\/60 + k**2\/2 - 3. Let i(b) be the second derivative of j(b). Calculate i(m(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/673 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 plus -16184130?\nAnswer: -16184130.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122*p + 156 = -118*p. Let h be 5\/(-25) + 56\/5. Let w(z) = z**2 - 6. Calculate the remainder when w(h) is divided by p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 2065055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 50b3 (base 12) to base 6\nAnswer: 104343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4 + 3\/(-1))*0. Let c be 2200\/(4 - a)*-34. What is c rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.22, -5, -22, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3778 divided by -2\nAnswer: -1889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -25401, -50809, -76221, -101637, -127057, -152481, -177909?\n\"Answer: -2*b**2 - 25402*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of 5*d**2\/2 + 4*d + 14. Give i(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -z**4 + 32 - 8*z - 31 - 30*z + 3*z**4 in the form k + s*z**3 + y*z**2 + h*z**4 + f*z and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 10, -85, -244, -467, -754?\n\"Answer: -32*k**2 + k + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4915.7 rounded to the nearest 10?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 85399*b**2. Let i(f) = 12*f**2. Determine n(i(o)).\nAnswer: 12297456*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 261 and 3465819?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m**2\/5 + 644*m\/5 - 128 = 0. What is m?\nAnswer: 1, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3997?\nAnswer: 7, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18073 + 44670. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-175)\/50)\/(21\/(-60)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9*20\/(-180)*-42134.\nAnswer: 2, 21067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2214327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7516, -14935, -22328, -29683, -36988, -44231?\nAnswer: -51400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 35719079768*t**3 + t + 0 - 35719079743*t**3 + 5*t**2 - t.\nAnswer: 25*t**3 + 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 20, 251 in decreasing order.\nAnswer: 251, 20, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(-4)\/8*4\/(-26).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -25.5 and -1068.\nAnswer: 27234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1*(-4)\/8*-18. Solve -4*q = 4*f - g*f - 29, 22 = -3*q - 5*f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -115 - 1?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 613.15694 rounded to the nearest 10?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 7238, 14479, 21708, 28919, 36106, 43263, 50384, 57463?\n\"Answer: -v**3 + 7248*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.4556 - -0.5. Let o = i - 0.039. What is o rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -3564*a - 21143. What is q(-6)?\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1440, 3234, 5028, 6822, 8616?\nAnswer: 10410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 + 4*b**2 - 220*b - 32. Give i(-18).\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*h - 3*n - 10, 3*h - 2*n + 15 = -4*n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -166053 + 234062. Let n be ((-4)\/4)\/((-2)\/10). Suppose 4*a = 3*b - f, 4*a + 68012 = n*b - b. What is a rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.258?  (a) -0.4  (b) 4  (c) 7  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 1.555, -1\/9, -1, 6, -368\/7, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -19 + (-11 - -6 - -15) + 13 - -25\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (3 + -5 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11316 and 246664.\nAnswer: 697812456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 33\/15 - 1\/5. Let d = 6 + 2. Suppose -j*f + d = -f. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 116 + -71. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -23*n - 6*n - 60*n - 9 - 12*n. Calculate the lowest common multiple of 21 and s(-3).\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 930\/31*(14\/3)\/(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*o + 5*r + 26 = -9*o - 10*o + 29*o, 0 = -o - 2*r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.445 - 1.445. What is the nearest to n in -4\/3, 5, 1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -7*s**2 - 15. Let p(h) = -404201*h. Give l(p(b)).\nAnswer: -1143649138807*b**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2492 = -4*d - 4*f, -2*d = 2*d + f - 2480. What are the prime factors of d?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/120)\/((-75)\/(-1875)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/3*1\/(-2). Let u(g) be the second derivative of g + 2*g**2 + 0 + 1\/15*g**6 - 1\/2*g**4 + q*g**3 - 1\/10*g**5. Factor u(v).\nAnswer: 2*(v - 2)*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73781574?\nAnswer: 2, 3, 61, 201589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3792445 to the power of 1\/2, to the nearest integer?\nAnswer: 1947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*r + 14. Suppose 3*f + 2*s = 50, 0 = -r*f + 2*f + s + 92. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 + 6*p - 4. Give o(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3333121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 145?  (a) 1\/4  (b) -2\/5  (c) -3240\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Solve 32*j + 134 = -202*j - 568 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - -719961984660.\nAnswer: 719961984661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*m**(1\/20)\/m))\/((m**11\/m)\/m)*(m**(16\/7)\/m)\/(m\/(((m\/(m**0\/m))\/m)\/m)) assuming m is positive.\nAnswer: m**(-1087\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -3*c + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -6*b + 8. Let q(z) = 8*z - 4*z - 4*z**2 - b*z + 5*z**2 + 8. What are the prime factors of q(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 4*m = -4*h + 39, -2*h + 63 = -5*m. Let d = 2664 - 2669. Let p = h + d. Calculate the least common multiple of 2 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -5 - (2\/1 - 6). What is the tens digit of -1 - j*((-2 - 1) + 52)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -911375.8 to the nearest 10000.\nAnswer: -910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -4856*m + 1544207. Determine g(318).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**3 - 6*m**2 + 10*m - 7. Let z be u(7). Let l be z\/12 + 0 + -4. Factor 2\/3*n**3 + 4\/3*n**2 + 10\/3*n**5 + 0 - l*n**4 + 0*n.\nAnswer: 2*n**2*(n - 1)**2*(5*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1)\/(-3) - 13\/(-312))*-2. Which is the second smallest value?  (a) -2\/3  (b) y  (c) -3  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.7 - -8.2. What is the nearest to -2\/59 in 4\/9, o, -6?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4915 - 3?\nAnswer: -4918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1178*y + 1166*y + 1811220. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 7:26 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4093 is divided by 126?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 16*j**3 + 2*j**2 - 1. Let g(q) = q**3 - q - 1. Let t be g(-1). Let y be d(t). Let p = y - -61\/4. Which is the nearest to 0.1?  (a) p  (b) 1  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 26154229?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**3 + 43*q**2 - 102*q + 812. Calculate w(41).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50*o**2 - 3 - 4*o - 216*o + 220*o - 44*o**2 + 2.\nAnswer: 6*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the third derivative of 17*t**5\/60 - 64*t**2 + 3*t. Let x(i) = i + 3*i - i. Determine h(x(v)).\nAnswer: 153*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 3*v + 9. Let h be q(-3). Solve -4*o - 15 = 2*w - 7, 3*o + w + 8 = h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9487, 17780, 26073, 34366?\nAnswer: 42659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 601549?\nAnswer: 13, 46273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*k + 20 - 11. Suppose -4*j = -7 - k. Determine i so that -6*i**3 + 22\/5*i - 4\/5 + 18\/5*i**4 - 22\/5*i**j = 0.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12.7 - 3.8. Let x = -16 - t. Which is the closest to -2?  (a) x  (b) 5\/2  (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -163*c - 3894. Give y(-24).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 50*m**2. Let w(h) = 72*h + 5. Give b(w(s)).\nAnswer: 259200*s**2 + 36000*s + 1250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*x**2 + 3*x**2 + 26*x**2.\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 4*r + 2 = 8, 0 = -b - 3*r. Calculate the remainder when 18 - (0 - -1)*1 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15\/(-30)*30\/(-5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of 305*f + 0 - 1\/12*f**4 - 25\/6*f**3 + 0*f**2. Factor o(l).\nAnswer: -l*(l + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23750751700 rounded to the nearest one million?\nAnswer: 23751000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 4*q**5 + 37348*q**4 - 75204*q**3 - 4591476*q**2 + 30925152*q - 52447824 = 0.\nAnswer: -9339, -13, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 471136 and 12.\nAnswer: 1413408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 3*s - 2. Let p be (-1 + 2)\/((-10)\/(-310)). Suppose 7 + p = s*m. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -0.5  (c) 74  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -0*n. Let w = -4.9 - -5. Let y = 0.4 - w. Which is the second biggest value?  (a) y  (b) n  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = -4 + 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1191965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(18)\/(sqrt(9) + (sqrt(162)\/sqrt(3) - sqrt(54))\/sqrt(6)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4432.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1334 = 81*m - 139*m for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -2*m. Suppose 3*n + m = a + 8, 3*a = -4*n - 11. What is the closest to 4 in n, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 0 = t + 8, -i - 4 = 0. Let p be ((-8)\/(-10))\/(t\/10). Let g(y) = -2*y. Let b(k) be the first derivative of 4*k**2 - k - 2. What is p*b(r) - 7*g(r)?\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*b + 3*u + 33 - 28, 5*u = -2*b + 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 43 = -83. Let x(u) = u**2 + 7*u - 1. Let d be x(j). Solve d + 3 = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6257 - -25320. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3 - 3)*(-3)\/(-6). Suppose -s - 70 + 77 = v. What is the smallest common multiple of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-5)*(-39)\/(-351)*-15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j**3\/3 + 53*j**2\/3 + 103*j\/3 + 17 = 0. Calculate j.\nAnswer: -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -624  (b) -119  (c) -0.3  (d) -0.7  (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.6 in 0.05, 5, -7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -480 and -34867?\nAnswer: 34387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 4*j - 5*j. Suppose v + 3*v + 24006236 = j. Let u = -461559 - v. Round u to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*n + 5*p, -4*p + p = 6*n - 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/(2*sqrt(3)*1).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 268.\nAnswer: -5\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.837757 + -0.501113. Round s to 1 decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**2 + 0*w + 0*w)*(-6 + 6 + 8*w - 1).\nAnswer: -8*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times -226184?\nAnswer: 90473.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2*((-2 - -1) + 0). Let g(m) = -3*m**3 + 2*m**2 - 3*m + 2. Let q be g(n). Let b = q - -43. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 - 95*f**2 + 301*f - 2307. Determine s(92).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sum -39 and 0.23.\nAnswer: -38.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 + c**2 + 2*c + 2. Let d(y) = -3*y**3 + 103*y**2 - 106. Let o(m) = -2*d(m) - 2*r(m). Solve o(f) = 0 for f.\nAnswer: -1, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 43*i**4 - 2*i**3 - 23*i**4 - 17*i**4 - 1 to f*i**2 + s*i + b*i**3 + o + w*i**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/50*(-90)\/(-135)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1810199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 7, 1\/7, 10\/7, 0.1, 3?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12299 is divided by 383?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**2 - 104*f - 480.\nAnswer: -4*(f + 6)*(f + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 16) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -40410 + -3?\nAnswer: -40413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -163 + 217 = -9*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 3*o + 9 = 0. Let x(g) = g**2 - 8*g - 9. Let w be x(o). Let s = 12 - w. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**3 + 14516*n**2\/3 + 82462*n\/3 - 9700 = 0 for n.\nAnswer: -6, 1\/3, 2425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6017 = -3090*f - 247037 for f.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10613.\nAnswer: 10613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/7, 5, 3\/5, -0.4, 3\/2 in ascending order.\nAnswer: -3\/7, -0.4, 3\/5, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -7, -63 in ascending order.\nAnswer: -63, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (38 - 42) + (0 - 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 + -2734755?\nAnswer: -2734750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4529905 >= 4529906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a\/(a\/a**8))\/a*a)\/a*a**(5\/13))\/((a*a*a**(2\/57))\/(a*a**(-9)*a)))**(2\/19) assuming a is positive.\nAnswer: a**(-2446\/14079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 401*h**3 + 93*h**2 + 106721 wrt h?\nAnswer: 1203*h**2 + 186*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 345177 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-1*((5*(-1 + sqrt(833)) + sqrt(833) - ((0 + sqrt(833))*3 + sqrt(833)))*-4)**2 + 2)*-3.\nAnswer: -6720*sqrt(17) + 161127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -8*j + 375. Let u = j + -62. Suppose 7*b + u = 6. Let n(q) = 10*q**2 - 2*q - 1. Determine n(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -108 - -121. Suppose 4*v + 5*n = -q - 12, -4*v + 5*n = -25. Solve v*l + l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**3 + 5*q**2 - 3*q - 16. Determine b(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 84*j**6 - 251*j**2 wrt j.\nAnswer: 10080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 90 and 33?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26*69\/299*4\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kzzlukujflzj. Give prob of sequence kklj.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*u**2 - 43*u**2 - 11*u**2 + 21*u**2.\nAnswer: -56*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.013 - -0.19632581.\nAnswer: 0.20932581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17.9 - -20.9. What is the nearest to 2 in z, 1\/43, 0.2, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*w - 35 = 11*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**2 - 11*k + 8. Let r be h(8). Suppose 0 = -9*v + 29*v - 60. Put 5, r, v in descending order.\nAnswer: 5, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 11:56 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -181\/6752880 and -127\/48.\nAnswer: 6752880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5403551 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (-3 - -12) - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(7) + 1)**2)*5.\nAnswer: 10*sqrt(7) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + x = 8*k + 11, 4*k + 3*x = 1. Let d be (k\/10)\/((-2)\/10). Let l = 138 + -555\/4. What is the nearest to d in 5, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 4, -4*t - 2*y + 89 = 3*y. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - l - 3*l**4 + 3 - 3*l + 5*l**4 - 2*l**3 as t*l**3 + v*l + f + r*l**2 + i*l**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 38301603071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*x - 2 + 1 + 5.\nAnswer: -62*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ybfy when four letters picked without replacement from {z: 1, r: 2, f: 4, b: 3, y: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 104?  (a) -0.033  (b) -5  (c) -12\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1ba3 - -4?\nAnswer: -1b9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:59 PM and 4:54 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1567, 1571, 1577, 1585, 1595?\nAnswer: 1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -246*s**2 + 10*s**4 - 3*s + 0 + 10*s + 248*s**2 + 1 in the form a*s + x*s**2 + o*s**4 + c*s**3 + p and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 13.46 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 74881.3 millennia?\nAnswer: 74881300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v, w + 4 = 3*w - 5*v. Let t(m) = m**2 + 1. Let k be t(w). Suppose -x + 7 = 5*q - 10, -3*q - 29 = -5*x. Solve 5 = -3*f + a, 3 = k*a - x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(304) + -1 + 5 + (sqrt(304) - (1 + sqrt(304) - sqrt(304))) - ((sqrt(304) - (-5 + sqrt(304)*2)) + 5))*3)**2.\nAnswer: -1296*sqrt(19) + 24948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -699591697.8 to the nearest 10000.\nAnswer: -699590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1\/3, 1, 12, -0.2, 0.38?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s - 2. Let q be a(6). Suppose -q*h + h = 12. Sort h, -1, 1 in ascending order.\nAnswer: h, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -38 and (-51)\/18 + 2 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4+-0.214\nAnswer: 3.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -553 = -18*s + 41. What is the highest common divisor of s and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0026868 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6153677741?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 0, -1410, -4, -1, 21.\nAnswer: -1410, -7, -4, -1, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j - 5. Let w(n) = -3*n + 8. Let u(r) = 8*a(r) + 5*w(r). Suppose 0 = -5*q - q - 12. Let h be u(q). Is h less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 9*d**2. Let q(x) be the third derivative of x**4\/12 - 5*x**2. Determine r(q(z)).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 59.851 + 0.149. Is -3 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 1 a when three letters picked without replacement from afoafalllaaa.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -113220 to the nearest one thousand.\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -71778389*n**2 - 3*n + 42109660 wrt n.\nAnswer: -143556778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from ylyyyylyyyyl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.2634493 * 53\nAnswer: -13.9628129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 8*u**5\/19 - 10*u**4\/19 - 14*u**3\/19 + 4*u**2\/19 = 0.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -1, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v + o + 2*o - 1, 0 = v + 5*o + 10. Solve 3*c = -v*k + 2 + 3, 0 = c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 283399115 to the power of 1\/3, to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.03 and 122477.6.\nAnswer: 122477.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 21\/28 - 3\/(-12). Let r(o) = -5*o - 4*o**2 + 3*o + 8*o**2 + o**2 + 2. Let d be r(b). What is the third biggest value in 1\/8, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -26.9?  (a) -0.1  (b) 4  (c) -51.86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 344837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 2*d - 48. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 270321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 39210751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 15) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50*y - 17*y - 15*y - 19*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 - 3*m**2 + 2*m - 1. Let x be c(3). Suppose -3*d = -26 + x. Let f(i) = -i**2 + 2*i. Let k(v) = 3*v**2 - 7*v - 1. Calculate d*f(u) + 2*k(u).\nAnswer: -u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -258.01 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102 = 9*q + 8*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the second derivative of -a**7\/14 + 2*a**6\/5 + 9*a**5\/20 - 7*a**4\/2 + 4*a**3 - 65*a - 1. Determine z so that v(z) = 0.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -51*c**3 - 28*c + 48*c**3 + 5*c**2 - 2 - 9*c - c**4 - c**2 + c**2 to the form n*c**2 + u*c**3 + q + p*c + z*c**4 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 - 6*t**2 + 4*t + 7. Let n(i) = -i**2 + 3*i + 103. Let u be n(-9). What is l(u)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2765489421 to the nearest 1000000.\nAnswer: -2765000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 194 is divided by 50.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 321*x - 409 + 409.\nAnswer: 321*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10\/69?  (a) 3\/43  (b) 2  (c) 3\/4  (d) -1\/4  (e) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (141 - 163) + (35 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u + 96570 = 196425 + 149835. Does 205 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from rnrnnnnrnr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 3*r**3 - 85*r**2 - 87*r + 28. Calculate i(29).\nAnswer: -813","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -2*h**3 - 2*h**2 - 2*h - 4. Let y be a(-3). Suppose -12*b + 14*b - y = 0. What is the remainder when 37 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.215, 0.03, -1, -5?\nAnswer: 0.215","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -63714 divided by -32?\nAnswer: 31857\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -4*b**2 - 3*b - 9. Let l(a) = -7*a**2 - 7*a - 17. Let o(x) = -3*l(x) + 5*z(x). Let q(k) = 5*k**3 + 15*k**2 + 8*k - 10. Let i be q(-2). Give o(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + k + 748 = -o + 742, -3*k - 18 = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 269 - 263 = -2*i, -y - 46 = -4*i. Let r(l) = 37*l - 2. Let k be r(-3). Let m = y - k. List the prime factors of m.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18295*y = -18296*y + 4*b - 11, 6*y + 16 = -b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 75 + -53. Let o = s + -17. Sort 0, o, 0.1.\nAnswer: 0, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 112886 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 + 5*q - 181. What is t(10)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107*p + 5*p - 748 = 85*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 25*h - 2460. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-2\/3)\/v)**(-10\/7)*v**1*v*v**(-1\/12)*v assuming v is positive.\nAnswer: v**(325\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1675.15 rounded to 0 decimal places?\nAnswer: -1675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 616, 1237, 1846, 2437, 3004?\n\"Answer: -l**3 + 628*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**3 + 13*o**2 - 16*o + 2. Let v be k(11). Let u be (-1587)\/(-23) + (7 - 7). Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 3754 = -114*m + 112*m, -3*v - 3*m = -5613. What are the prime factors of v?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 - 1146?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-5 + (sqrt(891) - (sqrt(891) + -1)*-2)*-1))**2.\nAnswer: 2592*sqrt(11) + 128448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 35548731819.6+0.1\nAnswer: 35548731819.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seven thirds of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z**3 - 4*z**3 - 4*z**3 + 2*z.\nAnswer: -9*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1669200899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 4*i + 3*i**3 + 7*i**2 + 3 + i + 3*i. Let c(r) = -4*r**3 - 7*r**2 - 8*r - 2. Let v(u) = -5*a(u) - 4*c(u). What is v(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from {k: 2, b: 4, x: 1, j: 1, l: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/3*6\/(-2). Is 0 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 48*j + 4. Let u be i(8). Let n = -70 + 72. Suppose -u + 120 = -n*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j**(-1\/3))*j*j)**20\/(j*j*j**(-4\/9)*j\/(j*(j\/(j**(-2)\/j))\/j)) assuming j is positive.\nAnswer: j**(433\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18307830 and 19?\nAnswer: 18307830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 458 = 3*d. Let r(y) = 2*y**3 - 7*y**2 + 16*y + 107. Let u be r(-6). Let q = d - u. What are the prime factors of q?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (-2 - -7 - 1 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 160\/(-1520) - 2\/(-19). Solve z = -5*h + 1493 - 1463 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/290 and 73\/251169.\nAnswer: 2511690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*x - 121 = -9. What is the remainder when 59 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the third derivative of l**4\/24 + 3*l**3\/2 + 4*l**2. Let n(g) = g**3 - 5*g**2 - 7*g + 6. Let u be n(6). What is the units digit of d(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * 2.6\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 17207 - (0\/(-2) - 1). Suppose -2*c - q = n + 6595, q = 4*c + 47597. Round c to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.07 + -6.91.\nAnswer: -6.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.1 + 0. Suppose k + r = -7 + 2, 0 = -3*k - 2*r - 15. Which is the third smallest value?  (a) d  (b) 4  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**2 - n**2 + 3*n**2)*(-9*n**2 - 27*n**2 + 17*n**2) + 2937 - 2937 - 38*n**4.\nAnswer: -57*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15801 + 15809. Solve -3*r + 11 = n, 3*r = 4*w + 19 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o\/(o**0\/o)*o*o)**(-2\/77))**(-12) assuming o is positive.\nAnswer: o**(144\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -6624313 (base 8) in base 2?\nAnswer: -110110010100011001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 20 = -144. Suppose w + 4*q = 9, w - 3*q = 2 + 28. What is the remainder when p is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h + 11*h + 972*h**3 - h - 9*h + 10*h**3.\nAnswer: 982*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -82 - -84. Let l be -6*q\/(-8)*2. Suppose -26 - 10 = -l*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-36*a**3 - 12*a**3 + 10*a**3)*(-23*a + 19 - 19) to the form i*a + p*a**3 + l + k*a**4 + x*a**2 and give k.\nAnswer: 874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-18 - 20 + 21)*(-y - 5*y + 4*y + (y + 1 - 1)*(0 + 1 + 0) + (-1 - 1 + 5)*(3 - 3 - y)) in the form s*y + h and give s.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*m**2 + 4*m**2 + m**3 + m**2)*(1 - 20 + 5) to y + i*m + b*m**3 + h*m**2 and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 350658 and 6294420?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-40 - 25 + 46)*(2*k + 3*k - 2*k).\nAnswer: -57*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**3 + 2*n**2 - n. Suppose 0*i = -4*b + 5*i - 8, b = 2*i - 2. Let x be k(b). Suppose x*u = u + 23. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1543 + -1503 - ((-4)\/(-1))\/(3 + -4). Solve 0 = -6*n - 74 + i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 100 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(-4)\/s)**24*s**(-2\/7)*s*s**15 assuming s is positive.\nAnswer: s**(-562\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 2*s**2 + 1. Let o be b(-1). Suppose 2*w + 2*w = -5*x - 14, 0 = -o*w + 5*x + 7. Is 0 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**(-5))\/(x**(2\/9)*x))**(-47) assuming x is positive.\nAnswer: x**(-2021\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -h + 31, 2*h + 3*p - 32 = -p. Factor -h*t**2 + 7*t**2 + 2*t**2 - 3*t**4.\nAnswer: -3*t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12135, 283\/6, 0 in decreasing order.\nAnswer: 12135, 283\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 58 = -3*m - 13, m - 3 = 0. Calculate the highest common factor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + 2*v + 755. Suppose -15 = 19*j - 15. Suppose -6*m + m + v = j. List the prime factors of m.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 81\/70 - 319\/70. Which is the closest to i?  (a) -0.3  (b) -2  (c) 3  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-38)\/72*(-427 + 391)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = m - 3. Calculate the remainder when (-5)\/(0 + -1) - m is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.519 + 0.119. What is the nearest to 1\/3 in 0.3, n, 4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -57*p**3 - 19*p**2 - 7*p - 6. Let s(f) = 115*f**3 + 35*f**2 + 14*f + 11. Determine 11*n(c) + 6*s(c).\nAnswer: 63*c**3 + c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - -2. Suppose 2*j + 3*c + 9 = 0, 2*c = j - s - 6. Let w be -3*(1 - 0)\/(-1). Put 2, j, w in decreasing order.\nAnswer: w, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 5*w - 43, 0*f + 3*f = 3*w - 27. Let o(z) = z**3 - 7*z**2 + 3. Let j be o(w). Let g = j + -1. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -2*d**2\/5 + 134*d\/5 + 492 = 0.\nAnswer: -15, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 12858031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 5503, 10878, 16237, 21574, 26883, 32158?\n\"Answer: -d**3 - 2*d**2 + 5388*d + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/(-112)*-2*(-208)\/117?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 5*j - 8. What is the second derivative of 3*d - d**4 + 0*d**4 + j*d**4 - d wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from {f: 1, w: 1, v: 1, z: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5000.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/4, -407, 2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 47 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 2 r, and 1 p when four letters picked without replacement from {p: 2, u: 1, r: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.2808 years to centuries.\nAnswer: 0.062808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 60*s + 470. Let d be y(-4). Calculate the greatest common divisor of d and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11800 = -2*u - 3*u. Let d = -41 - -26. Let w be u\/(-1)*d\/(-6). What is w rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 769 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -4*x + 2*q - 1, 3*x - q - 6 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19442*n**4 - 5*n**2 - 1753.\nAnswer: 466608*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -16354 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -367.46 - -367.459935297. Round h to 6 dps.\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.041 - -29.959. Let h = 32 - t. Sort h, 3, -0.06 in increasing order.\nAnswer: -0.06, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, 2\/7, -1, 172\/5, -3\/34?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + -7 + (0 - 7) + -18 + 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4 and 1058?\nAnswer: 2116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2*-1)\/(4\/(-12)). Let j(s) = -s**3 - 6*s**2 - 8*s - 3. Let p be j(-5). Suppose -2*t + 5*o - u*o = -24, t = 4*o + p. Solve -5*r + r = -t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1853764 is divided by 1853701.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4229.6 + -4230. What is the third biggest value in i, -1, -10\/7, -4\/9, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-21) + 6\/(-7) + (-66)\/14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 5*g + 64030 = 0, 379*g + 64045 = 5*t + 377*g. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2397 by -799.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(5 - (5 + 3\/(-1899))). Suppose 5*r + 5*a - 5347 = f, -r - 3*a + 1188 = 0. What is r rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/21 and 20\/159.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-3\/4))**(2\/31)\/(s**(1\/2)*s*s\/((s*s*s**8)\/s)*s) assuming s is positive.\nAnswer: s**(169\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**2 + 7*c. Let f = -16 - -22. Let b be g(f). Sort -5, -4, b in descending order.\nAnswer: b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -172 + 264. Calculate the remainder when 314 is divided by p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 - -5. Let k = y + 0. Let z = 0 - k. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1313 is divided by 389.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17.531 + 17.031. Let o be (-88)\/46 - -1 - -1. What is the third smallest value in 0.2, r, 2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -2*q. Let n(j) be the second derivative of -j**4\/12 + 52*j**3\/3 + 31*j**2\/2 - 1516*j. Determine n(l(g)).\nAnswer: -4*g**2 - 208*g + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/7 greater than or equal to -616\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1752239 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 114*q + 49*q = -69*q - 8, -19 = 4*p + 3*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2598, 5195, 7792, 10389, 12986, 15583?\n\"Answer: 2597*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13459 - 15502 = -227*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h + h**2 - 2*h)*(-4*h - 2*h**3 + 4*h)*(-27 + 11 + 8).\nAnswer: 16*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5 + 2 + 3)*(1 + 3 - 2) - 2 + 4 - 4)*(3*m**5 + 25*m**5 + 18*m**5).\nAnswer: 828*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 23\/6 of a day?\nAnswer: 5520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -179\/868140 and 29\/173628?\nAnswer: 868140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.12487802 * -0.04\nAnswer: 0.0049951208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k = -5*g - 7, -6 = 5*k - 2*g + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -2\/41  (b) -1\/4  (c) 1  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6226 + 36617. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2405136 and 2405137 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/(y*y**(-9))*y*y*y**(4\/11)*((y\/(y\/y**(-3\/5)))\/y)\/y**(-1\/6) assuming y is positive.\nAnswer: y**(3277\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -306*u + 312*u - 44586. Suppose 144*i - u = 141*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6 + (-3)\/(3\/1). Let o be 6\/4*(-8)\/(-6). Suppose -k*a - o = -37. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2044380 and 1056263.\nAnswer: 63375780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.8931 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 420054?\nAnswer: 2, 3, 70009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - -56650?\nAnswer: 56656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3\/11795 - 4721\/11795. What is the closest to -17 in -0.05, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -9101, -9098, -9095, -9092, -9089, -9086?\n\"Answer: 3*v - 9104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -96, 26, 15, -3?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*t**3 + 67*t**3 + 40*t**3.\nAnswer: 129*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30 is divided by 8\/(2\/9*3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16 + -14. What is the smallest value in h, 3\/7, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3801*i - 68 = 4*a - 3795*i, -6*i = -2*a + 2 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1032.91 - 1033. Let x = -2.4 + 2.21. Let z = x - i. Sort 3, z, 4\/5 in descending order.\nAnswer: 3, 4\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2512633 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/14*(-126)\/(-90).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 4067 = 6457. Calculate the common denominator of a\/432 + (-4)\/(-18) and -9\/68.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence luv when three letters picked without replacement from {l: 5, u: 1, j: 6, v: 2, f: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = r + 3, -6 = -0*r - 2*r. What is a in 6*a**2 + 18*a - 2*a**k + 2 - a**3 - 23*a = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.3316555 decades?\nAnswer: 3.316555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 169165 and 677810.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 36362 (base 7) to base 3\nAnswer: 110222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 448 = 5*c - 4*y, 2*c - 168 = -5*y + y. Let u = -82 + c. Solve -3*t + t = u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 - 4*r + 1. Let a be b(5). Let m = a - 4. Differentiate m + 5 - 7*z**4 - 2*z**4 with respect to z.\nAnswer: -36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 23*u + 0 - 6*u.\nAnswer: 17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:20 AM and 8:04 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 13*j**3 + j - 6*j**3 + j**2 - 1 + 0*j**3. Let p be r(1). What is the highest common divisor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2661 bigger than 2661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*u - 6 = -27*u. Put -6, 14, u in ascending order.\nAnswer: -6, u, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z - 19. Let w(k) = -2*k - 21. Let r(n) = -3*q(n) + 2*w(n). Calculate r(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 + -3 - (-2)\/7. Let l be (-1)\/(-2) + (-20)\/(-40). Is l < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of j**6\/120 - j**5\/15 - j**4\/6 - j**3\/2 + j**2. Let d(h) = h + 10. Let g be d(-5). Calculate k(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4500 and 20998620?\nAnswer: 524965500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 12986 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 + 6. Suppose -3*o = -7*o - 3*d - 7, 1 = -4*o + 3*d. What is the units digit of o\/n + (-44)\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3\/(-9))\/((-2)\/(-329)). Let q = -55 - t. Let l = -1092 + 3277\/3. What is the nearest to l in -0.4, -3\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -136644, -273177, -409710?\n\"Answer: -136533*a - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-9*50\/(-90))\/(-3 - -2). Which is the nearest to 1?  (a) -5\/4  (b) -241  (c) 0.1  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 4*a = 8 + 86, 2 + 174 = 894282*a - 894290*a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -74 + -5 + 8 - 5. Let p = 79 + v. Let u = -12 + 7. Let h(n) = 2*n + 6. Let f(s) = s + 3. Calculate p*h(z) + u*f(z).\nAnswer: z + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 4:14 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 233, 509, 787, 1067, 1349?\nAnswer: 1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n + n + 2*v - 36, 5*v = -n - 2. Calculate the least common multiple of n and 2*5\/(-20)*-4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 29 - -95. Suppose 0 = -5*g + f + 91. Let y = g + 5. What is the greatest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 14 = 5*k - 6, -2*k = 3*f - 9. Let w be f\/((-3)\/(-9)) - 0. Suppose -5*o = p - 55, p + w*p - 50 = -3*o. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of -d**5\/60 - d**4\/12 + 21*d**3\/2 - 2*d**2 + 102*d. Let f be b(0). Calculate the greatest common factor of f and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8079 + -88929\/11. Let s = 159486 + -12280875\/77. Let l = s - t. What is the third biggest value in -1\/5, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l + 0*l = -l. Let v(x) be the first derivative of l*x**4 - 2 + 0*x**3 + 1\/2*x**2 + 0*x - 3\/5*x**5. What is the second derivative of v(n) wrt n?\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -67, -122, -179, -238?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -143 - 1268*n + 143 + 1046*n + 3635*n to p*n + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-140*g - 135*g - 133*g + 407*g - 4680*g**2)*(0*g - g + 2*g) as c*g + k*g**3 + l*g**2 + r and give k.\nAnswer: -4680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 43 - 51.4. Let i = 11 + g. Let w = i + -3. Is 1 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/8 - (-2)\/(-4) and (-2)\/(-14) + 108\/(-14) + 6.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 2*m**2. Let z be (-2)\/(-2) + -3 + 4. Let f(y) be the first derivative of -4*y - y**z - 1 + 4*y. Determine f(w(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 2*v = -166. What are the prime factors of (-2 - v)\/((-3)\/((-15)\/10))?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 632086, 1264170, 1896254?\n\"Answer: 632084*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -2  (b) -1  (c) -0.2  (d) -7\/92  (e) -25  (f) -0.6  (g) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-12)*360\/(-280)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -r - 2*r + 14, 3*j + 15 = 4*r. Let l be -1*(-8 + 2)*r\/6. Calculate the remainder when 21 is divided by (-1)\/(1\/(-14)) - l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 61, 369, 1159, 2659, 5097, 8701, 13699?\nAnswer: 20319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from svnvus. What is prob of sequence usv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b + b + 4*b)*(3 + 10 + 3).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 180691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -119\/6 and -33\/35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -21 - -51. Let a = r + -237\/8. Let v = 639\/2 + -320. What is the closest to -1\/3 in v, a, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 7:20 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-2 + 2 + k)*(2 - 2 + 1) + 731*k + 18*k - 187*k)*(-6*k**3 + 11*k**3 + 2*k**3) as c*k**3 + p*k + f + m*k**4 + h*k**2 and give m.\nAnswer: 3941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 2744 = -2*t, 4*t - 71*n = -66*n - 5514. Is -1377 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -7a2a (base 15) to base 10\nAnswer: -25915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 2*w + 3, -4*w - 5*o - 1 = -10. Let m be (15\/(-9) + w)\/((-5)\/15). What is the third derivative of l**2 + 313*l**4 - 290*l**4 - 7*l**m wrt l?\nAnswer: 552*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -5*v**3. What is n(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5148297*u - 10296646*u + 5148354*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + 4*sqrt(7)*-2 - sqrt(7) - sqrt(21)\/(sqrt(9)\/sqrt(3))) + 3 + 3.\nAnswer: -9*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 - -26?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*v**2 - 5*v**2 + v**3)*(7*v + 25 - 25) - v**4 + 0*v + 0*v in the form q*v**2 + u*v + j*v**4 + w + d*v**3 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17 + -7. What is the common denominator of -53\/10 and (138\/x - 2)\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -2*h**2 + 2*h - 1. Let b be y(1). Let w be (-5 + b)*(-10)\/3. Suppose -w = r - 2*r. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 34000631 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((8\/(-42))\/4)\/((-41)\/(-246))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/594720 and -39\/16288.\nAnswer: 302712480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times 223337\nAnswer: 89334.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -0.5091625.\nAnswer: -3.5091625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - 0) + (-28 - -30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 2:38 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 69?  (a) -53  (b) 0  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3919 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5219 + -2822. Calculate the remainder when j is divided by 160.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 12, -5\/2 in decreasing order.\nAnswer: 12, -1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 9*c**2 + 316*c + 97. Let r be t(-35). Solve -r*v + 52 = -49*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 - 5*o. Let h be i(5). Let g(z) = -z + 5. Let c(x) = 2*x - 12. Let q be c(8). Let s be g(q). Which is greater: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19.7 + -216.7. Let i = 199.456 + m. Let u = i - 2.6. What is u rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 2 - (3 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 112*c**2. Let l(w) be the third derivative of -5*w**4\/24 - 2*w**2 + 47*w. Calculate k(l(g)).\nAnswer: 2800*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 149639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 + 5*m**2 - m - 9. Let w be z(-6). Let d = w + 62. Suppose 2*c + 17 = d. Solve c*t + 4 = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1080\/3762 + (-2)\/11.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = -2*c + 12, 8*d - 5*d = c + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21 + 21 + 12*o)*(2*o - 1 + 1) + (-2*o**2 + 5*o**2 + 4*o**2)*(0 + 1 - 3) + (2 + 2*o - 2)*(0*o - 3*o + 5*o) - 3*o**2 + 3*o**2 + 2*o**2.\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -62, -582, -2024, -4850, -9522?\n\"Answer: -77*c**3 + c**2 + 16*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -29  (b) -2  (c) 1\/4  (d) -151\/9  (e) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1874271 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + 2 + 5 - 8\/4. Solve -2*i - i - 13 = 5*r, -i - 9 = v*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 959376.\nAnswer: 2, 3, 11, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 35605483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -4*y**3 - 405*y**2 - 522*y - 2196. Calculate w(-100).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 77046 > 385229\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 335 + -319. Let g(x) = 2*x**3 - 30*x**2 - 31*x - 14. Let w be g(d). Solve 3*v - w*a + 0 = 2, 4*v = -a - 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4 + (5 - -1)\/(-3) + 3. Suppose 0 = g*x + 4*k - 4830, -803 - 149 = -x + 2*k. Is x a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 42, -16, -72, 41, -1, 1, -3 in descending order.\nAnswer: 42, 41, 1, -1, -3, -16, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*x + b - 5 = 30*x, -2*x - 19 = 3*b. Let a(p) = 2*p**3 + 0 + 1 - 3*p**2 - 4*p**3. Give a(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -923\/913 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-3)\/25)\/((16\/(-96))\/(10\/(-12))). Which is the nearest to 0.1?  (a) 2\/13  (b) -3  (c) v  (d) 0.46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15.31 + -19. Let p = n - -4. What is p rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u + 3. Let c be m(0). Suppose c*o - 4*o + 112 = 0. What is o rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3548 + 3?\nAnswer: -3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 2196*u + 136144. Calculate b(-62).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 470*y - 3094. What is the remainder when i(10) is divided by 272?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -2*n**2 - n - 1. Let y(v) = -3*v**2 - 4*v - 1. Let o be (-18)\/8 + 95\/76. Let d(w) = o*y(w) + 2*f(w). Factor d(c).\nAnswer: -(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 34372, 38154, 44458, 53284?\n\"Answer: 1261*l**2 - l + 33112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 - 1555?\nAnswer: -1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4754 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhearzaerxrearr. Give prob of picking 2 r and 1 x.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (1182489\/(-28) + 7)\/((-8)\/(24 + 8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of -19*u**3 - 28*u**2 + 14. Find the second derivative of d(x) wrt x.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20.9*241.\nAnswer: -5036.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 11 = 13*z - 11*z, -4*z = -4*c + 24 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3378179*i**3 + 661*i**2 + 2*i - 7 wrt i.\nAnswer: -20269074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 212814 = 3*v - w, 4*v + 4*w = w + 283739. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 - (-2)\/14*-12. Let f = 2.7 + -2.6. What is the third smallest value in -0.1, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7 - -3) + (-1 + 1 - (13 + -23))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 1 + (-20 + (19 - (-112 - -16)) - 17).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 153075 divided by -75.\nAnswer: -2041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 5295 - 4\nAnswer: 5291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3891, 8031, 12171, 16311, 20451, 24591?\nAnswer: 28731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k**3 + 5*k**3 - 3*k**3)*(5*k - 5*k - 2*k**2) - 7*k**5 + 4 - 4.\nAnswer: -3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -65, -51, -33, -11, 15, 45, 79?\n\"Answer: 2*b**2 + 8*b - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-11\/4)\/n**11 assuming n is positive.\nAnswer: n**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33466591?\nAnswer: 17, 157, 12539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 + 6977755766.\nAnswer: 6977755766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**2. Let r(k) = -2*k**2 - 3*k - 6. Let j(u) = -4*n(u) + r(u). Let z = -27 + 21. Calculate the remainder when j(z) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*d**3 + d**3 - 2*d**3 + (2 + d - 2)*(d - 2*d**2 - d) + 63*d**3 - 1566*d + 1566*d to s*d**2 + h*d + r*d**3 + v and give r.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 29535 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2335110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 9217 divided by 4\nAnswer: 9217\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1019832*f**2 + 3*f + 187*f**3 + 25*f**4 - 1019832*f**2 - 2*f to the form o*f + i*f**4 + h*f**2 + p + x*f**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 65329, 130651, 195971, 261289, 326605?\nAnswer: 391919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 37200 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 - 3*r**2 - 4*r - 2. Let a be g(4). Let h be (-1)\/a - (-254)\/4. List the prime factors of h\/6 - 8\/12.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the second derivative of -p**3\/3 - 9*p**2 + 103*p. What is m(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 62720 - -466311. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*i**3 - 2*i**3 - 6*i**2 - 2*i + 5*i**3 + 4*i**3 as k + p*i + o*i**2 + z*i**3 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 23649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -51\/134 + -8\/67. Let r be 2\/6 - (-2)\/3. Which is the smallest value?  (a) u  (b) 2  (c) r  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -300 + 103. Let m = c + 197. Put m, -16, 3 in increasing order.\nAnswer: -16, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 3*j - 17, -5*d + 0*j = 4*j + 15. Let p(w) = -w - 2. Let q(g) = g + 1. Give d*p(n) + 2*q(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -9  (b) -5  (c) 1  (d) 0  (e) 23  (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9637 - 115711\/12. Let w = -23215 + 1160823\/50. What is the common denominator of f and w?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s + 4*s + 0*s. Let l(y) = y**2 + y. Let a(q) = -q**2 - 2*q. Let h(w) = -2*a(w) - 4*l(w). Calculate h(g(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (9 - 0 - -6)\/(3 + -4). Which is greater: -29\/2 or k?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, m: 1, c: 3, u: 1, y: 1}. Give prob of picking 1 m and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the second derivative of -o**4\/78 + o**3\/13 - 2*o**2\/13 - 4*o. Factor m(x).\nAnswer: -2*(x - 2)*(x - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5.48?  (a) -4  (b) 0.5  (c) -5  (d) 2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*b**2 + 37*b**2 + 12*b**2 + 4*b + 5.\nAnswer: 43*b**2 + 4*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*g + 19803 - 19734 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-54*t - 85*t - 45*t)*(-t + 3*t + 2*t)*(-4 + 4 + t**3).\nAnswer: -736*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1400 and 271845?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 162 and 341520?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1009985987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8.937 + 2.682. Let h = w - -6.1. Round h to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 3*s**3 + 4*s**2 + 4*s + 3. Let o(v) = 2*v - 12. Let h be o(5). Calculate c(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100450820 - 235709\nAnswer: -100686529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 308\/21*(364\/260)\/((-28)\/(-30))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 4460 = -405. Let h = t + 811. Solve 3*c - 19 = 2*a, c + h + 2 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 4*n + 3*n**2 - 1 + 3 - 5. Determine p(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7214 is divided by 211.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**3 - u**2 - u + 1. Let d(q) be the first derivative of -q**3 - 3*q**2\/2 + 3*q + 360. Calculate -d(h) + 3*y(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 28096306 divided by -2?\nAnswer: -14048153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-9)\/12)\/3*(1 - 5). Calculate the remainder when 2800\/28 - (-3 - h) is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 6 = 3*s, -2*s - 1 = l - 2. Let a(j) = j**3 - 4*j**2 - 8*j - 3*j + 7 + j + 5*j + 0*j**l. Determine a(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.3, 1, 8.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 60325019\/730 + -82637. Let n = 10657\/5840 - r. Calculate the common denominator of 51\/8 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = k - 26. Suppose 5*s + 879998 = -l, 0 = 3*s - k*s + 5*l - 704010. What is s rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -0.1, -4\/11, 0.01?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -111, 7, -3, -2, 0, 5.\nAnswer: -111, -3, -2, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1288 and 598.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + y - 2*i - 12 = 0, 3*y = -3*i - 6. Suppose 0 = 4*p + 2 + y. Let v(c) = 4 - 6*c**2 + 2*c**2 - 5 + c**2. Determine v(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.4?  (a) 0.4  (b) -3  (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(-10)*(-10)\/(-12). Let l(o) be the first derivative of -o - d*o**3 - 2 - o**2. Factor l(p).\nAnswer: -(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 75520000 to the nearest 1000000.\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(33)\/sqrt(11)*1 + -1 + sqrt(15)\/(sqrt(5)*-3*2) + -4.\nAnswer: -10 + 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 307*b**3 - 115*b**3 + 182*b**3 + 135*b**3.\nAnswer: 509*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5\/7  (b) -1758099  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, -19\/5, 264\/7, -2, 0.1.\nAnswer: -19\/5, -2, 0.1, 2\/11, 264\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.03 + -0.43. Let j be (-2)\/4 + (-63)\/18. Let o = -3.06 - -0.06. Which is the nearest to -3?  (a) o  (b) d  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 5*s + 4 = -36, 3*s - 28 = -2*h. What is the remainder when 418 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-8)*(-16)\/(-56)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.3 + 4.6. Let a = 8.33 - 7.13. Let m = h - a. Sort m, 2\/9, 0.\nAnswer: 0, m, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -13*s**3 + 4*s**2 + 6*s + 1. Let f be o(-5). Let l = f - 2458. Is (-5 + l\/(-6))*2 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 79, 72, 45, -14, -117?\n\"Answer: -2*l**3 + 2*l**2 + l + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -133, -294, -549, -886, -1293, -1758?\n\"Answer: 2*a**3 - 59*a**2 + 2*a - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*d - a - 8 = -24*d, -2*a + 5 = 3*d. What is the third derivative of 3 + 240*r**2 + 38*r**d - 327*r**3 - 3 wrt r?\nAnswer: -1734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**3 - 7*d**2 - 6*d + 4. Let q be b(-6). Let r(t) = 10*t - 6*t - 2 - 6*t + 8. Determine r(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 37312\/(-168) - (-2)\/21. Find the common denominator of -3*6\/(-9) - r\/(-63) and -29\/11.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4748 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 64 = 4*k - 3*q, 0 = -4*k + 2*q + 76. Calculate the highest common factor of 231 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**2. Let l(z) be the first derivative of -z**5\/120 + z**3\/3 + 1. Let x(r) be the third derivative of l(r). Calculate x(p(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**3\/4 + 1013*c**2\/4 + 2023*c\/4 + 1011\/4.\nAnswer: (c + 1)**2*(c + 1011)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((-9)\/(-3))*(-2988)\/(-72210)?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 2 + sqrt(847) + sqrt(847) - (sqrt(847) + (sqrt(847) - (sqrt(847)*-1 + 1)) + sqrt(847) - sqrt(847))**2) + 5.\nAnswer: -7622 + 88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-7839776)\/(-480) - (-2)\/15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in -5, 5\/2, 0.018?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 369 - 749 + 378 + 26*r**3 - 2*r + (-2*r - 1 + 1)*(-r**2 + 3*r**2 + 0*r**2) to o*r**3 + k*r**2 + b + f*r and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3391\/844410 + 3\/4021. Let h(p) be the second derivative of 1\/30*p**4 + 0*p**6 - 3\/100*p**5 + 0 + t*p**7 - 33*p + 0*p**3 + 0*p**2. Factor h(f).\nAnswer: f**2*(f - 1)**2*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**2 + 1548*d + 6128.\nAnswer: 4*(d + 4)*(d + 383)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(120) - -4*(sqrt(120) + sqrt(120)*1 + sqrt(120)) - sqrt(120))\/sqrt(12))\/((sqrt(640) - sqrt(40))\/(sqrt(18)*-3)).\nAnswer: 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + 1)*(6 - 1296\/132 - -4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 26\/52*((-3)\/(-4))\/(2\/16). Solve 0 = -3*c + 5*o + 14, -b*c + 3*o + 11 = o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 24784 or 24786?\nAnswer: 24786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*u**2 + 17*u**2 - 269063 + 22*u**2.\nAnswer: -u**2 - 269063","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*d = -75*d + 459. Calculate the greatest common divisor of 221 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (10*q + 9*q - 5*q + (0*q + 3*q - q)*(1 + 1 - 4))*(q**3 + q**3 + 0*q**3) as i*q + l*q**2 + t*q**4 + w + p*q**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-24)\/(-3)*23725\/50. Calculate the highest common divisor of k and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-k - k - k)*((-2*k**3 - k**3 + 2*k**3)*(1 - 1 - 1) + 23462 - 23462 - 296*k**3) to the form l*k + a*k**2 + u + t*k**3 + j*k**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 - 1)*(-1 - l - 15*l + 1).\nAnswer: 64*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 6 - ((2 - 3) + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 50283, 201097, 452447, 804333, 1256755, 1809713, 2463207?\nAnswer: 3217237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 + 2. Let l be b(2). Suppose -1 - 32 = -3*f. Let p = f - l. What is the highest common divisor of 2 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8413, -66304, -223445, -529462, -1033981, -1786628?\nAnswer: -2837029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 146.47545 nanoseconds to minutes.\nAnswer: 0.0000000024412575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.01, -4, 520292?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -21 + 25. Factor -9*r + c - 11 + 7 + 3*r**2.\nAnswer: 3*r*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -744, -749, -764, -795, -848, -929, -1044?\n\"Answer: -w**3 + w**2 - w - 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*f + 85 = 355 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2 + k + 9. What is f(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.2 - -0.9. Put -2\/3, c, 2\/15 in decreasing order.\nAnswer: 2\/15, c, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 241157?\nAnswer: 7, 47, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 72 = 36. Suppose b = 4*n + w, -2*w + 0*w - 9 = -n. Calculate the remainder when 312\/n - (-1 - 2\/(-3)) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, 0.034, 194\/7, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.4, 4, 966?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -324.1 - 2295.6. What is w rounded to the nearest ten?\nAnswer: -2620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2 + 2)*(3*x - 6*x - 41*x) - 16*x - 2*x + 219 - 216 in the form v + w*x and give w.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40 - 45*z**2 + 23*z**2 + 40 - 3*z**3 + 23*z**2.\nAnswer: -3*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 2*q**2 - 10*q - q**3 + 13*q - 3 to d*q + i*q**3 + w*q**2 + u and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1.39*1596.49\nAnswer: -2219.1211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = h - 5, -4*h + 4*i + 0 + 4 = 0. Let m = h - 1. Sort 1, -2, m.\nAnswer: -2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 3 - 8) + (-1 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - s + 0*s = 3, -3*s = 0. Let w be (0 + (4 - y))*0. Let u be (3\/(-6))\/(45\/6). Which is smaller: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 367784780 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 13938684 to the power of 1\/2, to the nearest integer?\nAnswer: 3733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1613*-13.09\nAnswer: -21114.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 3*j. Let q(a) = -23*a**2 + 4*a - 4. Let x(o) = -920*o**2 + 161*o - 161. Let h(m) = -161*q(m) + 4*x(m). Determine w(h(b)).\nAnswer: 69*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-8)\/48*-6*971 is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, b: 1, h: 2, i: 1, s: 1, a: 2}. Give prob of picking 1 a and 1 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 109 + -114. What is the biggest value in 2\/7, 6, p, 0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of 0 - 5\/24*a**4 - 5\/6*a**3 + 0*a - 1\/60*a**6 - 1\/60*a**5 - 32*a**2. Let d(j) = j + 1. What is 5*d(r) + u(r)?\nAnswer: -2*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of -p**3\/3 + 15*p**2\/2 - 30*p. Let u be o(12). What is the common denominator of -31\/16 and (u\/48)\/(11\/(-462))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 7*o**3 - o**2. What is y(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 11.2, 3, -3\/380, 15?\nAnswer: -3\/380","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -15 + 5 + (-4 - (-3 - 6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the third derivative of 0 - 1\/105*v**7 + 0*v**3 - 7\/150*v**5 + 0*v + 3\/100*v**6 - 174*v**2 + 1\/840*v**8 + 1\/30*v**4. Factor h(g).\nAnswer: 2*g*(g - 2)*(g - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ststsststsssss. Give prob of sequence sst.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16459 by 2.\nAnswer: 16459\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2111*f*k**5 + 9*f*k**3 + 1942*f*k**2 - 8*f*k wrt k?\nAnswer: 126660*f*k**2 + 54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**2 + 10*g - 7. Let j be c(-11). Suppose 15 = j*s - 37. Let q = 6 - s. Is -7 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes before 3:30 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*(sqrt(11) + -2*sqrt(11)) - sqrt(11)) + sqrt(11))*-4 + (5 + (sqrt(33)\/sqrt(3) - sqrt(11) - sqrt(11)) - sqrt(11)) + 1)**2.\nAnswer: 72*sqrt(11) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, -14925, -0.01931?\nAnswer: -14925","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the first derivative of 2*l**3 - 2. Let c(y) = -10*y**2 + 8*y + 16. Let j(r) = -r**2 + r + 2. Let m(t) = -c(t) + 8*j(t). Determine m(d(f)).\nAnswer: 72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-8)*(-448)\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 5 = -0*k - q, -5*q = 4*k + 23 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o + 3 + 12. Suppose 5*b = -2*b + b. Put b, o, 6 in decreasing order.\nAnswer: 6, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 18*h**2 - 3245. Let b(s) = -3*s. Give b(t(d)).\nAnswer: -54*d**2 + 9735","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -9*d. Suppose 4 + 5 = 3*a + 3*b, 5*a + 4*b = 15. Let z be p(a). Is 9 a factor of 1\/(-2 + (-57)\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g - 1 - 2. Sort 9, 4, g, 2 in decreasing order.\nAnswer: 9, 4, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from ccucichcocucco.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2189*c**3 - 72921*c**2 wrt c?\nAnswer: -13134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -47 - 2*l**3 + 43 + 4*l**3 as b*l + t + z*l**3 + d*l**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -62*n + 3362. Give l(51).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/11?  (a) -0.0688  (b) 1\/2  (c) -0.2  (d) 3  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2129330 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 1103.259 to the nearest integer.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -241 + 671. Let f = i + -392. What is the remainder when 338 is divided by f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 289 - 151. Suppose -3*a = -42 - m. Let u(y) = -y**3 - 7*y**2 - 3*y - 6. Let k be u(-7). What is the highest common factor of k and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*i + 9*i = 0. Suppose 21*k = -2*c + 18*k - 21, 0 = 3*c + 3*k + 24. Sort c, 2, 4, i.\nAnswer: c, i, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -75282177, -75282233, -75282277, -75282303, -75282305, -75282277, -75282213, -75282107?\n\"Answer: p**3 - 63*p - 75282115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -4*a + 1. Let s(u) = -6680*u**2 + 7*u + 658. Let y(d) = s(d) + 3*z(d). Find the second derivative of y(w) wrt w.\nAnswer: -13360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -16203, -27475, -38747?\n\"Answer: -11272*p - 4931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -z - 0*z + 17, 5*z = -5*k + 30. Let d(b) = b + 1. Let f be d(k). Solve 0 = -4*s - f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 - 31*v**2 + 260*v + 2. What is l(7)?\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(637) + sqrt(637)*-1 + -1)**2 + sqrt(637) + -4 - -2*(sqrt(637) + -1)*-2.\nAnswer: -21*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -82 * -46.4\nAnswer: 3804.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1076.48 + 1109. Let i = 33.28 + -1.28. Let m = o - i. What is m rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6743\/290 - -3\/58. Let u = b - -353\/15. What is the second smallest value in 5.3, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.181*4.25387\nAnswer: 9.27769047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1402.8 + -1406.8. What is the third smallest value in z, -0.4, -3, 0.0172?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/n**(-6)))\/n*n**(-2\/15)*n)\/(n**(6\/5)*n\/(n*n**(-1))*n*n) assuming n is positive.\nAnswer: n**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 - 6. Let o = -52 - -51.9. Sort -4, o, z.\nAnswer: -4, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003267840374 to seven dps.\nAnswer: -0.0003268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.047 * -3246.\nAnswer: -152.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3659 divided by -3659.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 6163170 divided by -237045\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of l**3\/3 - 9*l**2\/2 + 17*l - 14. List the prime factors of g(-7).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-40)\/100*(-5)\/11 - 1129258\/(-11). Round f to the nearest 1000.\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20162206 is divided by 2109?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -31596 or -0.1?\nAnswer: -31596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3*104\/54 + 4\/18. Let n = 18 + b. Suppose 0 = -3*o - 25 + 97. Calculate the greatest common divisor of n and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1773 divided by 847?\nAnswer: 1773\/847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2 - 1504*i - 88023.\nAnswer: -(i + 61)*(i + 1443)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -45*l**2 + 69 - 39 - 28 to the form s*l + t + u*l**2 and give u.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + u = -s + 5, -u = 4*s + 13. Let a = s + 9. Let n be 1*2 - (540\/(-30) + 17). Is n less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -165997, -164680, -163363?\n\"Answer: 1317*c - 167314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-112)\/14 - -14 - (-6)\/9*-9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**3 + 9*q**2 - 12*q - 15. Let m be o(7). Which is the closest to 4?  (a) 0.06  (b) 0.3  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a + 43. Let w(v) = v**2 + v - 9. Calculate -b(n) - 5*w(n).\nAnswer: -5*n**2 - 6*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33) + sqrt(3993) + (sqrt(3993) - (sqrt(3993) - sqrt(3993)*2)))\/sqrt(11) - (-6*(sqrt(300) + 1 + sqrt(300)))**2.\nAnswer: -43236 - 1406*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4912, 5461, 6058, 6697, 7372, 8077, 8806, 9553?\nAnswer: 10312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m = -202 + 552. Suppose -k = -m + 16. Let w(z) = -6*z. Calculate the remainder when k is divided by w(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the first derivative of h**3\/3 - 7*h**2\/2 + 6*h - 1. Let y be o(6). Suppose -2*j + 3 - 1 = y. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (14 + -26 - -10) + (23 - -1)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -484*-1.1.\nAnswer: 532.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*u + 20*u - 63*u + 21*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -2*s**3 + 18*s**2 - 6*s + 124. Calculate the remainder when 169 is divided by v(9).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 80 (base 10) to base 13\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*n*w**3 - 2*n*w - 11*n + 4538*w**3 + 16*w + 3 wrt w?\nAnswer: 12*n*w + 27228*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 + 11*g**2 + 12*g + 8. Let t be v(12). Let a = 1931\/39 - 1\/78. Find the common denominator of a and 327\/(-132) + 2\/t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 10*y - 5. Let g(c) = -2*c**3 - c**2 - 4*c + 4. Let w be g(0). Let h(b) = -20*b + 9. Give w*h(t) + 7*f(t).\nAnswer: -10*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1076965*d**2 + 721256.\nAnswer: -2153930*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.09*-0.7.\nAnswer: 0.763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 + -3. Suppose 63 - 75 = -4*o. What are the prime factors of (-4)\/o*3\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1151 = 298*s + 4795 + 4484 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 3*s**4 + 9*s**3 - 69*s**2 - 225*s - 150 = 0.\nAnswer: -5, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = z + 931, 11*z = -5*i + 14*z + 4663. What is the greatest common factor of i and 352?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1470 - 1486.66. Let m = 16 + a. Let t = -0.65949 - m. What is t rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 140 and 21336?\nAnswer: 106680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3528 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1462 and 12556?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 0*w - 8*w**2 + 7*w**2 + 0*w. Let i(j) = -4*j**3 - j**2 - 2*j - 1. Let t be i(-1). Let q(v) = -2*v**2 - 4*v**2 + t*v**2. Give q(d(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1322784 and 28687.\nAnswer: 1351471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*g**3 + 9623806*g**2 - 314091851.\nAnswer: -9*g**2 + 19247612*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*x**2 - 43*x**2 + 127*x**2 - 39*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -109 or -108?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 225.31591 or -2?\nAnswer: 225.31591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2298, -4586, -6876, -9168, -11462, -13758?\n\"Answer: -a**2 - 2285*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 147760 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - s - 186, 0 = 2*d - 79*s + 75*s - 100. Solve 277 + 91 = d*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 346570*-56\nAnswer: -19407920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.237  (b) -0.094  (c) -2\/5  (d) 2\/3  (e) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 82\/12721 + 1073971\/12975420. Calculate the common denominator of -91\/1700 and u.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 17 = 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.15891 rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + v - 3 = 3*j, -3*j - 6 = -2*v. Suppose -4*p - 153 = -v*w, 5*p - 51 = -2*w + w. List the prime factors of w.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -63, 5503, -1 in ascending order.\nAnswer: -63, -1, 0, 5503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccycfffcy. Give prob of picking 2 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 4370596825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 90*s**2 - 4. Let n(o) = 3*o. What is n(k(x))?\nAnswer: 270*x**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 5*d. Let f(w) = -3*w - 9. Let g be f(-6). Suppose 1995 = -9*a + 2094. Let t(q) = -a*q + g*q + 4*q. Calculate n(t(y)).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v - 7. Let j be b(7). Suppose 5*d - 19 + 4 = j. What is the first derivative of -2*x**3 - 12 + 8 + 5*x**d wrt x?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1032253752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -422 - -2416. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1354 is divided by 5\/(105\/(-6)) - 49959\/(-441).\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-71)\/(-133) - (-141)\/(-329)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add 8169.865009161 and 0.49.\nAnswer: 8170.355009161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 444, 498, 588, 714, 876?\nAnswer: 1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -5*u + 96. What is the remainder when 486 is divided by f(7)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b = 4*y + 64, 5*y + 38 = -5*b + 3 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-42)\/(-56) - (-3)\/(-6))\/(12\/(-26880)*-16)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j - 1. Let a(n) = -3*n - 1. Let v(o) = a(o) + 6*k(o). What are the prime factors of v(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -257*v**2. Let y(i) = -5*i. Determine y(f(u)).\nAnswer: 1285*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(288)\/(sqrt(12)*1) + sqrt(24))*-2)\/(1*sqrt(588)*4) + 3.\nAnswer: -sqrt(2)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/1256 and 35\/16.\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -238 + 137*u + 461 - 223 - 123*u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 13 + 1 - 1 + f**2 - 1 as s*f**2 + b*f + t and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*k + 3*k - 2*k)*(4 - 2*k - 4)*(2 + 0 - 5) in the form s*k + u*k**2 + m and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -28 - -32. Suppose -3*j = 4*c - 2*j - 22, k*j = 2*c - 2. Solve 1 = -2*b + 6*b - 3*r, 0 = -c*b + r - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 152442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 + 549*n + 551*n - 22 - 1101*n.\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (3 - 13) - (-1 + 1 + 14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7486173 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of -h**7\/5670 - h**6\/1620 - h**5\/1080 + 5*h**4\/4 - 8*h. Let w(y) be the third derivative of q(y). What is p in w(p) = 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 276*m = -118*m - 55*m + 5388 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 70\/4 + (10 + -3 - 4) and -35\/41?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 34522788?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28104 and 120752349?\nAnswer: 966018792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 280916786.\nAnswer: 2, 19, 7392547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 2*z. Let h be (-145)\/(-11) - (-42)\/(-231). Let g(l) = -5 + 17*l - h*l - 9*l. Calculate p(g(u)).\nAnswer: -10*u - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together -424 and -7.\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 223*x - 6 = 217*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 1 = 9. Suppose -3*v = -4*i - 35, -3*v = -8*v + 4*i + 45. Calculate the remainder when v is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1111 + 10220220202?\nAnswer: 10220212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3651*d**3*q**3 - 32*d**2*q**3 - 8*q**3 wrt d.\nAnswer: -21906*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes after 4:08 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 divided by -188?\nAnswer: -51\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 AM and 11:20 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65216 + 0*n + 74*n**2 + n + 31898 + 33318.\nAnswer: 74*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(5\/9)*u\/(u*u**(-22\/3)))\/((u\/(u*u*u\/(u\/(u*((u\/(u\/(u**(13\/4)\/u))*u)\/u)\/u))*u*u*u)*u)\/u**9) assuming u is positive.\nAnswer: u**(793\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1*(0 - 1))\/(-1). Let l = 7\/46 + 1\/69. Let s = 1.5 - 2. Which is the second biggest value?  (a) p  (b) s  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -15*h + 25. Let u(j) = -7*j + 12. What is -13*u(v) + 6*x(v)?\nAnswer: v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 - 17*k**2 - k - 24. Let p be g(-17). Let v(i) = i**2 - 9*i - 91. Suppose 13 = -5*u + 78. What is the remainder when v(p) is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, -7, 1 in descending order.\nAnswer: 3, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v*v*(v*v\/(v*v\/(v**(-1\/3)*v)))\/v*v)**(-29)\/((v*v**1*v)\/v**(-2\/21)))**(-39) assuming v is positive.\nAnswer: v**(29874\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((sqrt(1539) + 0)*4 + sqrt(1539) + 2 - ((sqrt(1539) + 2 + sqrt(1539))*6 + 1*(sqrt(1539) + 1))))**2.\nAnswer: 25344*sqrt(19) + 1577872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-1))\/(-4*(-4)\/(-32))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 - 6*u - 6. Let t(n) = -n**3 + n. Let h(r) = 3*r**3 + 5*r**2 - 9*r - 2. Let l(j) = h(j) + 4*t(j). Let v be l(4). Give d(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000042534 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z + 11. Let i be j(-8). Suppose b + 6 = 6*b + 4*r, 3*b - 2*r = 8. Let d(h) = 3*h - 2. Let t be d(b). Solve o = -t*q - 12, -q + o = 2*o + i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -6*l**3 + 15*l**2 - 15*l + 15. Let h be (123 - 124)\/(1\/2). Let w(j) = -j**3 + 2*j**2 - 2*j + 2. What is h*s(a) + 15*w(a)?\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1101, -8693, -29297, -69417, -135557, -234221?\nAnswer: -371913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1203, 1187, 1113, 951, 671?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 48606\/(-42) - 4\/(-14). Let h = 1638 + v. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -54, -101, -138, -165?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*x**2 - 45*x**2 + 2*x**2 + 11*x**2 + 17*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 2*z + 0*z - 108 = 0, 3*l + 2*z = 332. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 57.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (346*l**2 + 41*l**2 + 88*l**2)*(-4*l + 3*l - l)*(-5 - 1 + 4).\nAnswer: 1900*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19.89 + -19.889998752. What is v rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28110221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -9*u + 16. Let t(o) = -o - 5. Let x(n) = 2*c(n) + 6*t(n). Let f(j) = 3*j. What is x(f(s))?\nAnswer: -72*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 202020?\nAnswer: 2, 3, 5, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -87 - -91. Let q be u\/(-10) + (-48)\/(-20). Suppose q*j = -65 + 341. What are the prime factors of j?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-50000)\/(-1000))\/((-1)\/1).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 2 = -8, 0 = -4*b + 3*f + 17. Let k = -304 + 306. Calculate the smallest common multiple of b and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 253829999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Simplify s*(s*(s\/s**(-11)*s)\/s)\/s*s**(1\/8)\/s assuming s is positive.\nAnswer: s**(97\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 - ((-28)\/4 + 4). Suppose 2*p = 3*k - 36, k + 3*p - 20 = p. Calculate the highest common divisor of k and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 4 + 0 = 0. Suppose o - 48 = -s*o. Suppose -2*j - 3*m = -o, 0*m + 6 = -3*m. Solve -3*l + 2 - j = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/4, 4, -32, 10 in descending order.\nAnswer: 10, 4, -3\/4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add 24371803786 and 62.2.\nAnswer: 24371803848.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -29 - -24. Let t = 92 + -92. Which is the nearest to 1?  (a) t  (b) 1  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14451, -2, -42.\nAnswer: -42, -2, 14451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -22 - (0 - -20 - (-292 - -313))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25 - ((26 - 27) + 0 + 6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -170*d + 82*d + 56 + 86*d. Let y(j) = j**2. Calculate g(y(k)).\nAnswer: -2*k**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 2*r + 60. Let p be m(0). Suppose 17*z - p = -9. Let q(o) = -z*o - o**3 - 6 + 4*o - 5 - 10*o**2 + 2*o**3. Determine q(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10202100110112 (base 3) in base 10?\nAnswer: -1994882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*b = -22*b + 4024. Let d = b - -523. What is the remainder when 93 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -330 + 98 = 58*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/9)\/(7*8\/(-84))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2 - 3*l - 22. Suppose -a = 5*g + 15, 3*a - a + 2*g + 14 = 0. Let p be c(a). Is 18 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 2*b**3 + b**2 - b - 1. Let n be s(3). Let g = 80 - n. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 201*w**4 - 60*w**4 - 285*w**5 + 488*w - 141*w**4 wrt w?\nAnswer: -5700*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**3 - 2*o**2 - 48*o + 3. Let f(l) = -l**3 - l**2 - 48*l + 2. What is 3*f(y) - 2*v(y)?\nAnswer: -y**3 + y**2 - 48*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2270 divided by -5\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105 = -1578*i + 1583*i. Calculate the highest common divisor of 483 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -19?  (a) 0.4  (b) -3\/35  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -369.2 - -369. Suppose -5*v = -4*v + f - 2, -f + 5 = 2*v. Which is the smallest value?  (a) 9  (b) i  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, z: 1, c: 3, y: 2, k: 2, v: 2}. What is prob of picking 1 c and 2 v?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 - 10*o**2 + 2*o - 9. Let a be (2 - 1 - -9)*1. Let i be j(a). Let u = -6 + i. What is the remainder when 14 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2094\/7 + 2326427\/7777. Let t = c - 89989\/2222. What is the common denominator of t and -6*3\/(-12) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -3*r + 12, -r = -5*h - 2*r - 20. Let n(v) = -v**3 + 4*v**2 + 15*v - 8. Let k be n(6). Suppose 1 = 2*q - 3. Sort q, k, h in increasing order.\nAnswer: h, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6286 + 4?\nAnswer: 628a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, o: 7, z: 2, v: 1, i: 2, w: 4}. What is prob of sequence wizz?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 79729584 divided by -9966198.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -18, -86, 2, -2, 88.\nAnswer: -86, -18, -3, -2, 2, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in 0.3, -5, 2, -2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.0381 from 3265118.\nAnswer: 3265118.0381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20856805 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 720?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -38 greater than 18191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11993001.\nAnswer: 3, 31, 43, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4845 + 4845 - 143*x**2 + 67*x**2.\nAnswer: -76*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2443*v**2 - 1129*v**2 + 844*v**2 - 4615*v**2.\nAnswer: -7343*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1471901 divided by -71?\nAnswer: 20731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 357*m - 8958. Calculate t(24).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 > -6\/124733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 7 + 7 + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u**2\/9 + 6783784*u\/9 - 2876232834916\/9 = 0 for u.\nAnswer: 847973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -h**3 + 12 + 0*h**4 + h**4 - 14 - 5*h**2 - 18 to the form a + k*h**2 + n*h**3 + q*h + c*h**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 36 = -4*w, 4*k + w - 6*w = 75. Let o = 24 - k. Let s(v) = v**3 - 4*v**2 + v - 3. Give s(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 51*i - 406. Determine v(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*c**5*d**2 + 704*c**5 + 5*c*d**2 + c + 11*d**2 wrt c?\nAnswer: 40*c**3*d**2 + 14080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19894 by -14.\nAnswer: -1421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 13, r: 5}. What is prob of picking 2 r and 2 l?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 4) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 124, 129, 132, 133, 132, 129?\n\"Answer: -y**2 + 8*y + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 - ((-2439913)\/(-76044))\/(-7). Let k = 2\/6337 - v. Find the common denominator of 119\/10 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-22)\/(-30) - 4\/(-72)*-6\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1277*w**4 - 516.\nAnswer: -5108*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*p**2\/8 + 1629*p\/4 + 884547\/8 = 0. Calculate p.\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 139 and 1918061?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x**2\/3 - 7946*x\/3 + 7948\/3 = 0 for x.\nAnswer: -3974, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -83 - -219. Suppose 4*l - d = 4*i + 348, 603 = 5*l - 4*i. What is the greatest common factor of 17 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3507 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84104?\nAnswer: 2, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -17*w. Let a(s) = -s + 1. Let o(z) = -3*z + 2. Let l = 9 + -7. Let h(j) = l*o(j) - 4*a(j). Determine h(u(r)).\nAnswer: 34*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 3*f = -10. Let h(a) = a**2 - 10*a + 1. Let r be h(f). Solve g = -0*g - r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 479518 and 610.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -10, 5, -3253 in descending order.\nAnswer: 5, -1, -10, -3253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.5333 - 77.6147. Let u = j - -0.148. Let c = u - -78.765. What is c rounded to 2 dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 2*d + 1. Let a(q) = 433*q + 462. Let g(h) = -a(h) - 4*w(h). Differentiate g(x) wrt x.\nAnswer: -441","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 775 - 750. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1077, 2\/9, 0.02, -0.7, 3, 1\/4 in descending order.\nAnswer: 1077, 3, 1\/4, 2\/9, 0.02, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -25.478 to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/2 - (-3 + 3 + -43). What is the highest common divisor of m and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -169727 divided by 5\nAnswer: -169727\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -43962697.9 to the nearest one million.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**5 + h**5 + 9*h**5)*(33 - 38 - 52).\nAnswer: -513*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -35*b - 22. Calculate the remainder when v(-2) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4125 + 141 = -332*m + 490*m for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 9, n: 4, e: 4}. Give prob of picking 2 e and 1 h.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-29)\/(3828\/616))\/((-4)\/12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (-10 - (7 - 21))) + 10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p + 6. Let h be g(-3). What is the third derivative of 2*a**6 + 18*a**3 - 18*a**h - 3*a**2 wrt a?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 11:00 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*k**2 - 3*k**2 + 8*k**2 + 3*k**2 - 1.\nAnswer: 4*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 32, -41?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/2*((-224)\/21)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -333 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aeae when four letters picked without replacement from {u: 4, e: 6, d: 3, a: 3, i: 3}?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 6, v: 5, k: 1, d: 3}. Give prob of sequence vd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -926.72 + 889. Let h = 130 - 93. Let w = o + h. Round w to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -6188 - 6189 - 6186 - 3*y**2 + 18563. Let o(u) = 600*u. Calculate o(n(m)).\nAnswer: -1800*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, y: 1}. What is prob of picking 1 y and 1 d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 273 + 149. Let w = r - 422. Let f = 5 + -8. Which is the nearest to -0.2?  (a) 3  (b) w  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -3*w. Let v(s) = -123*s. What is v(f(l))?\nAnswer: 369*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r = -p + 7, -p - 4*r + 2 = 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - b + 114 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f. Let l(j) be the first derivative of 0*j + 0*j**4 - 3 + 0*j**3 + j**2 - 7\/30*j**5. Let z(a) be the second derivative of l(a). Give q(z(h)).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 2 q when three letters picked without replacement from lqqrzrgqggg.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21823 - 64*g + 30*g - 21850 + 43673.\nAnswer: -34*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vi when two letters picked without replacement from iiililvilil?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11\/1728 - -174935\/63936. Is d at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 7.979611 weeks?\nAnswer: 4826068732.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 1 = 2*m - 3, 4*m - 8 = q. Suppose -360 = -5*r - 0*l + 5*l, -3*l + 144 = m*r. Calculate the greatest common factor of 120 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 139\/762 and 53\/11938?\nAnswer: 35814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-20)\/(-39))\/(2\/(-63)). Let i = p - -7692\/481. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0.54  (b) 8  (c) -3\/4  (d) -5\/6  (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -47157 times -351?\nAnswer: 16552107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 1 + 2 + 226*c - 30*c.\nAnswer: 196*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 68392987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is 38880000 rounded to the nearest 1000000?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1701337 (base 12) to base 8.\nAnswer: -22026233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -10604*i - 363. Let c be z(1). Is c at most as big as -10968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 9\/82874?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 568 = -2*m, 4*g - 3*g + m - 108 = 0. Calculate the greatest common divisor of 14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 48\/36 + (-86)\/6. Let l = f + 27. Calculate the greatest common divisor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 q, and 1 f when three letters picked without replacement from fhhqhffqhfhhv?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u + 2338529*b = 2338527*b - 34, 0 = -10*u + b + 33 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c + 3*l - 507, 0 = -5*c - 4*l + 1276 - 433. Let x = c - 15. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, y: 3, n: 6, b: 1}. What is prob of sequence ny?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4 + 1)*(10 - (3 + 2)). Suppose -24*f + x*f = 0. Which is bigger: f or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5272223431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 - 7*i + 1. Suppose -7 = n - 2. Let d be p(n). Let g = d - -7. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -39411 (base 11) to base 4.\nAnswer: -31301032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 127 - 100. Suppose -3 = -3*w + o. Let q(d) = -d**3 + 9*d**2 + 11*d - 11. Calculate q(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2678099 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -713782, -713940, -714096, -714250?\nAnswer: -714402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + m + 3*m - 10 = 0, -5*p + 37 = 4*m. What is the remainder when 43 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -67 + 115. Calculate the highest common divisor of z and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -167\/142320 and -71\/1067400.\nAnswer: 2134800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = j + 2*j. Suppose 5*g + j*o - 5 = 0, -5*g + 29 = 2*o - 3*o. Solve -p + 4*v + g = 5*v, 3*p = 3*v - 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**2 + 7*f + 6. Let y be z(8). Let c be ((-12)\/8)\/((-1)\/y). Let k = -3 - c. Solve -2*u + 3*u - 2 = k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41128 greater than or equal to 41130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11011011001 + 101?\nAnswer: -11011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1148 - 779. Suppose -q = -10*g + 7*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -637*w**3 + 59*w**2 + 530*w + 7. Is v(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*x - 3*x + t - 963, 5*x = -3*t + 1195. Suppose s - x = 3*s. Let k = -70 - s. What is the greatest common divisor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -2*f - 10. Suppose -4*t + 9*t + 30 = 0. Let d be z(t). Suppose d*j = -p + 34, 2*j - 92 = -3*p - 2*j. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 431453 in 3\/5, 2, 0.5, -2, -1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 18954 times 0.4\nAnswer: 7581.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(-36)*-2*10\/(-4)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-26 - (-10125)\/175) + 6\/(-7)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l**2\/15 + 944*l\/15 - 111392\/15 = 0.\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1979579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11986 - -18749. Suppose -s = -6*x + 947. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 183. Let k(z) = -73. Let m(j) = 5*k(j) + 2*l(j). Let r(u) = -5*u**3 + 4*u - 4. Give 4*m(y) + r(y).\nAnswer: -5*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1859.531621 - 1876.9285. Let o = 11.6031302 - b. Let m = -29 + o. What is m rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/(-2))\/((-5 + 1)\/224). What is the greatest common factor of z and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1503, 6001, 13493, 23979, 37459?\nAnswer: 53933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*a - 37*a = -5*q + 50, 5*q = -a + 20. Factor 9\/4*d**3 + 0*d - 3\/2*d**4 + 0*d**2 - 3\/4*d**q + 0.\nAnswer: -3*d**3*(d - 1)*(d + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 62287, 124568, 186849, 249130, 311411, 373692?\n\"Answer: 62281*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * -1.0464\nAnswer: 0.20928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1645164049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -65*l*s**4 + 2*l*s**2 + l*s - 4053*l + 165*s**4 - 3 wrt s.\nAnswer: -780*l*s**2 + 4*l + 1980*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 AM and 12:18 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 26.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 601172 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and 9485356?\nAnswer: -18970712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14 - 11)*8\/(-12)*5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 886578.3 litres?\nAnswer: 886578300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llnnlln. Give prob of picking 4 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + y + 46. Let f = y - -82. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t - 15*t = -2128. Suppose 263*i - t*i + 18 = 0. Put i, 20, -4 in decreasing order.\nAnswer: 20, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 8 = -3*b. Let a = 5 + b. Suppose -a*q + 5 = -q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 2*t**3 + 4*t**2 - 6*t - 4. Let f(s) = 2*s**3 + 4*s**2 - 7*s - 4. Let j(q) = 4*f(q) - 5*y(q). Let j(p) = 0. What is p?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 4641 = 8*x. Suppose 8*g = x + 9841. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5937 - -5936.7. What is the nearest to -2\/5 in j, -5, 119, 10?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -670059218 from 29825.\nAnswer: 670089043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -3  (b) 4\/5  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 times -0.111\nAnswer: -0.00333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 14*l - 6*l - 5*l - 2*l. Let u(y) = -2*y + 5. Let h(i) = i - 2. Let w(f) = 5*h(f) + 2*u(f). What is -p(s) + 3*w(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times 56163?\nAnswer: -56163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1161 - 14220*j - 1490*j + 1161 to the form l*j + p and give l.\nAnswer: -15710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/(13\/(-2))*(-5620)\/4496?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -60*q + 62*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {k: 1, m: 5, x: 5, p: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, -1\/32, -4, -2\/41, 2\/9, -0.1?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5\/2*(-124)\/(-465). Let l = -66\/120719 - -44991085\/373746024. Let n = -2\/387 - l. What is the closest to 2\/9 in d, n, -5\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -43667047 - -3?\nAnswer: -43667044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18571 + 18571. Solve -12 = -3*f, -4*f = y - m*y - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 365294 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 18\/20 - (-2)\/(-5). Let q = -601\/3 - -620\/3. Let y = 29\/6 - q. Which is the biggest value?  (a) -0.4  (b) f  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -2*z**2 - 5*z. Let h(u) = u**2 + u**2 - 3*u**2 - u. Let v(i) = -18*i + 0*i + 15*i - 32 + 17*i. Let l be v(2). Give l*h(q) + w(q).\nAnswer: 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.5 < -18\/28357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 625910 <= 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 6 = -28. Suppose 3*o + 5*h = y, -4*o + 2*h = h - 7. Suppose m - 3 = o*m. Sort m, 0, -5.\nAnswer: -5, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 + 1)*(1 + 4 + 0)*(5*v - 7 + 6 - 2*v).\nAnswer: -15*v + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 458686108.\nAnswer: 2, 114671527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 15940021 = f, -2*i - 2 = 12. Round f to the nearest 100000.\nAnswer: -15900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1142 is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 13*a - 95 = -14*a, -3*y = a - 57. Suppose -46 = -y*f + 17*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 5\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1118.1 - 1118. Which is the third biggest value?  (a) r  (b) 0.2  (c) 577\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmb when three letters picked without replacement from {m: 2, k: 4, b: 4}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 96880 is divided by 2106.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1952*s**3 + 988*s**3 + 7588*s**3.\nAnswer: 10528*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 691397 (base 10) in base 15?\nAnswer: d9cd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 3*w = 5*a + 80, -5*a = 3*w - 180. Suppose 3*v - 4*c + 5 = 1, 0 = 5*v + 5*c + w. Let o = -5 - v. 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 fourth smallest value?  (a) -25975  (b) -3  (c) 0.4  (d) -44\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 806467020 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.32 - -0.3199627. Round x to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10120 (base 7) to base 9\nAnswer: -3337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.04 times -9.2\nAnswer: -0.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)*-1*2*1)\/(sqrt(250) + sqrt(250)*1*4).\nAnswer: -2*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 - -61. Let r = -9 - -14. Suppose 4*x = 3*a - 19, -84 = -r*a - 5*x + 6. Calculate the remainder when i is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 319 = 121. Is (4 - j)*1\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(8\/(-2)*4\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -28599 - -40098. List the prime factors of l.\nAnswer: 3, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 90 + -161. Let i = 71.34 + x. Let p = i - 0.14. Is -22 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 14 = 2*j + 21, -4*r + 2*j - 56 = 0. Which is the third smallest value?  (a) r  (b) 0  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * 213\nAnswer: 85.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 5 + 9*a + 11 + 2*a**2 - 3 - 2. List the prime factors of b(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wb when two letters picked without replacement from xwbxxbbbxbwbbbbwwxx?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15675.\nAnswer: 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-52)\/(-12) + -4 - (-8)\/(-6). Sort -16, 15, y.\nAnswer: -16, y, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10*-424.3\nAnswer: -4243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -2  (b) 1.66  (c) 0.0496  (d) 2\/7  (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of -101*l**3\/3 + 189*l + 2. Differentiate p(s) wrt s.\nAnswer: -202*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 398 + 2773aa?\nAnswer: 277797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 117?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1890867464.\nAnswer: 2, 197, 1199789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 4*j - 3*y - 4419, -4*j - y + 4413 = 0. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 5*x + 17935 + 8957, 13472 = 2*r + 4*x. Let n = r - 1561. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0481 and -5?\nAnswer: 0.2405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 203549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 100 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/10 and -3 + (2\/(-8) - 1740\/(-200))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7b2 (base 15) to base 2.\nAnswer: -11011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/455147959 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 32 = 7. Suppose -35 = -5*w - 10. Suppose -f + 8032123 = -l*p + 1032123, -w*f = -p - 1400000. What is p rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-3 + (0 + (1*sqrt(153)*2 - (-3 + -1*sqrt(153))) + -5)**2) + 1.\nAnswer: -72*sqrt(17) + 2757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -26 + 58. What is the smallest common multiple of 1\/((-5)\/(-12 + -58)) and c?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 253 is divided by 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 309607350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 38470465, 38470469, 38470473, 38470477, 38470481?\nAnswer: 38470485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 72673\/48 + -4528\/3. Calculate the common denominator of 11\/26 and z.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) -39\/17  (c) -3\/22  (d) 1\/4  (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/(-2))\/(50\/(-60)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -294, -297, -302, -309, -318?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -2*o + 213, 21*v = 3*o + 20*v - 313. What is the greatest common divisor of 360 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -4, 0, -2, 115 in descending order.\nAnswer: 115, 15, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6.2 - 6.1999998. What is t rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 80669\/18 - 4476. Calculate the common denominator of b and 99\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 103273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 4*x = 20, y - 2*x = -3*y + 18. Suppose -y*f + f + 18 = 0. Let h(r) = -r + 3. Calculate h(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-21)\/(-5) + (-3)\/15. Suppose 0*k = i*k. What is the second biggest value in -1, k, -5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 60 - 99)*(-2 + n + 2).\nAnswer: -158*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 203549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**2 + 23*k - 129. Calculate b(-27).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 18767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvaavvaavaa?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-4\/7)\/u)\/u*u\/u**(-23)*(u**(4\/9))**(3\/17) assuming u is positive.\nAnswer: u**(7678\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 287266 and 169354.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (280 - 280 - 718*v)*(-2 + 3 + 2).\nAnswer: -2154*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-seven halves of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 3*n**2 - 34*n + 3. Determine p(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 7*b**2 + 2*b - 26. Let q(a) = 6*a**2 + 3*a - 25. Let x(u) = 6*q(u) - 5*r(u). Let k be x(-10). Suppose -c + 593 = -k*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 68, -1\/2, 3\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -209970596*m**2 - 79228573 wrt m.\nAnswer: -419941192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5*1 + (12 - 12 - 2). Suppose p*y - 5*b - 52381 = 0, y + 2*b = b + 17471. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -49*f - 16*f**2 + 49*f. Let x(m) be the first derivative of -m**3\/3 + 17. Determine x(w(n)).\nAnswer: -256*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 14809910 divided by 7404955?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1479, 5327, 11617, 20349?\n\"Answer: 1221*s**2 + 185*s + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 152*c + 4*h + 14 = 150*c, 0 = 4*c + 14*h + 46 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 7:45 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64876229?\nAnswer: 11, 5897839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, y: 3, x: 1}. What is prob of sequence yyyx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1456*((-11)\/165 + (-32)\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 204 (base 13) to base 8.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 2 = 2*w - 14, -r = -3*w + 14. Let t(o) be the third derivative of 5*o**4\/24 + 17*o**2. What is t(w)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppup when four letters picked without replacement from pppppppppppppupppu.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j - 0*j - 25. Let b = 23.2 - 4.2. Let f = b + -17. What is the nearest to f in 2, -0.1, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*w**5 - 5*w**5 - w**5 + (4 - 5 + 2)*(w**5 + 0*w**5 - 6*w**5) + 4*w - 4*w - w**5.\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 61493*f**2*s**3 + 6*f*s**2 - 159*f*s + 6*s**3 wrt f?\nAnswer: 122986*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g**2 + 4*g**3 + 2 - 3*g**3 + 0*g**3 - 3*g - 5*g**4 - 51*g**2 + 47*g**2 as x*g**3 + s*g**4 + t*g**2 + q*g + l and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, c: 6, i: 1, d: 3, k: 4, x: 1}. Give prob of sequence pxk.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**2 - 17*b - 13. Suppose 3*r + 7 = -11. Does 3 divide z(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 + -23. Let m = -11.735 + 11.835. Sort m, y, -2 in descending order.\nAnswer: m, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 102\/238 - (-712)\/(-1400).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -2*j**2. Let f(d) be the first derivative of -3*d**3 - 10. Determine a(f(h)).\nAnswer: -162*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 20, 34, 56, 86, 124, 170?\n\"Answer: 4*a**2 + 2*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t. Let f(h) = -60*h - 96*h + h**2 - 2*h**2 - 114*h + 214*h. Give m(f(c)).\nAnswer: 2*c**2 + 112*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + 9*a - 4*a + 16, -2*p + a + 12 = 0. Suppose 0 = 3*c - 5*o - 101, o + 158 = p*c - o. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (((-1630)\/(-6))\/(-5))\/(2\/(-6)) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3955 - 3952. Let k(b) = 2*b**3 + b**2 + 3*b - 2. Let z(w) be the second derivative of w**5\/20 + w**3\/6 - w**2\/2 - w. Give o*z(j) - k(j).\nAnswer: j**3 - j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 397902?\nAnswer: 2, 3, 17, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -672*q + 9271 = 1358 - 823 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -384 = -44*x + 276 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 2*f**3 + 56*f**2 - 481*f + 3430. What is o(-36)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 506 is divided by 491.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/29, 2, 9700, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q + 4*d = 6*q - 20, 4*d + 32 = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of -13\/14*j**2 + 206 + 5\/21*j**3 - 6\/7*j. Suppose r(x) = 0. What is x?\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 211 + 236. Round k to the nearest ten.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (-15)\/(-24) - (-12 - (-42)\/7).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 422, 420, 420, 422?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 14, k: 5}. Give prob of picking 2 k.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1011111101100101000 (base 2) in base 5?\nAnswer: -100020401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2567347571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2512 - -626323?\nAnswer: 623511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2157619116.\nAnswer: 2, 3, 701, 256493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1007396 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 AM and 6:54 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/16 and -65\/228.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 9) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 + 8*a**2 + 10*a. Let j be d(-7). Let y = j - -31. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1186 + -86. Calculate the remainder when o\/16*(-4 + 4\/3) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 3\/4. Let f = -0.29 + -0.01. What is the third smallest value in w, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(4*(sqrt(156)*-2 + sqrt(156))*-2)\/(sqrt(36)\/(sqrt(60)\/sqrt(5))))**2.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -68 - -70. Suppose -5*h + g + 1340 = 0, 6*h = h + 5*g + 1340. Suppose 0 = -0*r + l*r - h. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(24)\/(sqrt(2) - (sqrt(72) - sqrt(2))).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.68 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2 + 20*l + 24. Let x be g(-10). Let f be (x\/(-95))\/(2\/5). Solve -v = -f, d + 2*v = -0 - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = 4*d - 3*p, -3*p + 12 = -7*p. Suppose 3*w + 30 = 3*t, -8 = -3*t + 4*w + 24. Sort d, t, -5.\nAnswer: d, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of -10*l**3\/3 - l**2\/2 - l - 21. Let j be f(-1). Does 7 divide (-8)\/10 - (-314)\/j*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -3*k - 6. Let r be l(-12). Let s = -27 + r. Let x = -8 - -17. What is the remainder when x is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 9 = -0. Let n = 1 + o. Solve -2*q = q + 2*p - 16, -4*q - n*p + 28 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 277170 and 831512\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 178*o**2 + 367*o**2 - 187*o**2 - 6.\nAnswer: 2*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the first derivative of -2*l**3\/39 + 2*l\/13 - 28. Factor k(a).\nAnswer: -2*(a - 1)*(a + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 297081*44.\nAnswer: 13071564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 774*o - 758*o + 224 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -687110 (base 9) in base 10?\nAnswer: -411975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1b + c?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwswmccwmcwscccccccw. Give prob of sequence ws.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 28784820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-28)\/42)\/((-2)\/6). Solve -4*y = 2*q + y - 7, -3*y = -q - t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5066*519.\nAnswer: -2629254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00071453064 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 32130745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vva when three letters picked without replacement from {v: 7, s: 9, a: 1, b: 2}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -41 - -48. Suppose -16*r + 44*r = 9492. Calculate the lowest common multiple of r and i.\nAnswer: 2373","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 + 9*m**2 - 6*m + 5. Let n be (-4)\/(-16) + 74\/(-8). Does 23 divide a(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - 1 - 4 - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*i - 3*s + 5, i + 249 = 2*s + 242 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3559 and 3.\nAnswer: 10677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14, 36, 78, 146, 246, 384?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1202180 divided by -620?\nAnswer: -1939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 8732670 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3715 + -1004?\nAnswer: -4720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -115 - -116. Solve 3*r = -4*p - 17, -p + 14 = -5*r + k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -78059 - -78186. Let d = 19 + 24. What is the remainder when o is divided by d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 6*r - 7. Let l be z(2). Suppose 12 = 4*u, -171 + 495 = -3*b + l*u. Round b to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105*l - 20 = 100*l. Suppose -14*q = l*q - 14670. What are the prime factors of q?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 AM and 2:44 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1\/2, 5, 461?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of 76*s**5\/5 + 11*s**3\/3 + 162*s**2 - 1892. Find the second derivative of d(i) wrt i.\nAnswer: 912*i**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a factor of 237861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -2\/605949?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -3  (b) -4  (c) 3  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1022111122202 (base 3) to base 7\nAnswer: -5640332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (3 + -4 + 3) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-4 + (sqrt(1008) - (sqrt(1008) - (sqrt(1008) + (1*sqrt(1008) - sqrt(1008))))) + -3 - (-5 + ((sqrt(175) + 5)*-1)**2)).\nAnswer: -197 - 38*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5708.\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the first derivative of 8 - 118*f**2 - 39 - 6 + 117*f**2. What is o(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r + 23. Determine g(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 1 + 4 = -3*o, 0 = -5*o + k - 1. Factor -1\/4*a**3 - a**2 + o - a.\nAnswer: -a*(a + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -4*y + 9. What is the biggest value in y, 2, 0.13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m**2 + 37184*m - 186020 = 0 for m.\nAnswer: -9301, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2113 - 864. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/510 and -21\/170.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 213973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -151*l*n**3 - l*n**2 - 4*n**5 - 4540*n + 1 wrt n.\nAnswer: -906*l - 240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1401, 1400, 1399?\n\"Answer: -q + 1402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 3\/828019?\nAnswer: 3\/828019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -74444, -74023, -73602?\nAnswer: -73181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m + 12489 = 29*m. List the prime factors of m.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of 4 + 0 - 2 + u**2. Let h(k) = 3*k. Calculate q(h(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 278\/5 + -829\/15. Let h(y) be the first derivative of 3 - v*y**6 - 3*y**4 - y**2 + 0*y + 8\/5*y**5 + 8\/3*y**3. Factor h(g).\nAnswer: -2*g*(g - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-480)*-5)\/((-25)\/400)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -915 divided by -183\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 13 = -m - 7, -5*u = -m - 32. What is the highest common divisor of 48 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20644753 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the first derivative of -6*p**2 + 288*p + 4520. What is m(24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -73.9 + 71. Let x = -700723 - -700725.90091. Let h = x + t. What is h rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.18525 less than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1100)*-3 - sqrt(44)) + sqrt(44) + 2*sqrt(1100) + sqrt(1100))\/(3*-5*6*sqrt(4)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 60 and 5190?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 + -4. Suppose -10 = -4*j - v, -4*j + 4*v - h*v + 4 = 0. What is the first derivative of -5 + 3 - j + 6 + 8*k wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 198446761 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 9*i**2 + 7*i + 2. Let v(g) = -g. Determine -n(r) - 6*v(r).\nAnswer: -9*r**2 - r - 2","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 {c: 1, b: 2, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 271548 and 1254.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 131\/(1 - (-4)\/(-2)). Let m = 9 - -199. Let s = m + h. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -11022, -11024, -11026?\n\"Answer: -2*w - 11020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 3*m - 17, 3 = -3*g - 3*m + 2*m. Let u = 10.1 + -13.1. Let x = 0 + 0.2. Which is the third biggest value?  (a) u  (b) x  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 50556, 101128, 151726, 202362, 253048, 303796, 354618?\nAnswer: 405526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 472*f - 2796*f + 27888 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 162839?\nAnswer: 162839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 - v**2 + 15. Suppose 3*y = y. Calculate the common denominator of 65\/4 and i(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -7*n**2 - 16*n + 33. Let v(d) = 4*d**2 + 8*d - 17. Let t(g) = -3*p(g) - 5*v(g). Calculate t(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42241 is divided by 43.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1907332728?\nAnswer: 2, 3, 7, 97, 117043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**3 - 9*u**2 - 40*u + 48.\nAnswer: (u - 12)*(u - 1)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 6*u + 93 = 21*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 145599799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -98*v - 294. Let i be q(-3). Solve i*y**2 + 0 + 1\/4*y**3 + 4*y**5 - 2*y**4 + 0*y = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -188*s + 186*s = 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7096\/231 - -304\/77. Factor -10\/3*j**3 + d*j**2 + 100\/3 - 290\/3*j.\nAnswer: -2*(j - 5)**2*(5*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**2 + 17*a. Determine n(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/2 in -5, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1820\/2145*(-900)\/980*-7.\nAnswer: 60\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -39 (base 15) to base 5\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 3:27 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**3 - 7*n**2 + 7*n + 17. Let v be p(5). Solve 2*f - h - v = 0, -2*h = h - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 264 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 77 + -382\/5. Let a be (-633)\/(-21)*(2 - 0). Let z = a - 60. Put z, o, 5 in increasing order.\nAnswer: z, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -18470, -36940, -55410, -73880, -92350?\n\"Answer: -18470*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve b**2 + 2688*b - 2689 = 0.\nAnswer: -2689, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2151680818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = -4*f - 2*y, -4*f - 4*y - 2 = 38. List the prime factors of (-68)\/f*(2 + 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*c - 1684 = 8*c - 3052 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*m**4 - 2291*m**2 + 4588*m**2 - 2291*m**2 + m**4 + 2 to the form y*m**3 + w + i*m + l*m**2 + q*m**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 5*o - 276 = 0, 3*o = 2*o + 2. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 41791 - 1462906\/35. Let v = -40\/7 - r. Sort -30, -0.4, v, 4 in ascending order.\nAnswer: -30, -0.4, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100 (base 4) to base 13.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 58399?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*z + 33 = -42 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, u: 2, a: 5, e: 3, b: 1, w: 3}. What is prob of picking 1 w, 1 b, and 2 e?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -16962, -33931, -50900?\n\"Answer: -16969*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(4\/9))**9)**(1\/3) assuming o is positive.\nAnswer: o**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/3 + (-34)\/(-3). Let d = -7007 + 7011. Is (v\/(-2) - -6) + 638\/d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cnccuncqflqcnqlql. What is prob of picking 2 n?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**3 + 7*q**2 - 5*q - 3. Let r be b(6). Suppose -5*u + 0*u = -20. Solve -r*k = 5*s - 7, -6 = u*k + s - 2*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 283 + -121. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-8*(15\/70)\/((-270)\/63))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3982, 5197, 6412?\nAnswer: 7627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 361 divide 23572578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**0*u*u**(1\/9))\/(u**(-7)*u**(-9)) assuming u is positive.\nAnswer: u**(154\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 47 - 18. What is the remainder when j is divided by (3\/(-42)*-16)\/(2\/28)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9555732 times 0.7\nAnswer: 6689012.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.5  (b) -1\/37  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 288962\/345 + -13624\/15. Which is bigger: t or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -15.543 and 2636063.04.\nAnswer: 2636047.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, d: 1, k: 1, c: 2, b: 1, s: 1}. Give prob of picking 2 h and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(104)*-4*5 + sqrt(104))\/sqrt(2))\/((sqrt(3072)\/sqrt(3))\/sqrt(4)) + 2.\nAnswer: -19*sqrt(13)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 130244?\nAnswer: 2, 32561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 33.308 + 47513?\nAnswer: 47546.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -861, 4, -0.4, -1\/8, -3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*s**2 + 30*s + 2*s**2 - 29*s + 144*s**2.\nAnswer: 202*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i**4\/2 - 3*i**3\/2 - i**2 + 6*i - 4 = 0. Calculate i.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 368, 426, 484?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:37 AM and 12:29 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 185340 and 304080.\nAnswer: 939303120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001029558835 to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(40) + sqrt(80)\/sqrt(2)))\/(sqrt(1152) + (sqrt(1152) - sqrt(1152)*4)).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t\/t**(-2\/7)))**1)**(-3) assuming t is positive.\nAnswer: t**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 4*j = 5*t - 24, 3*j = -t + 7. Suppose 6 = -v + t*v. Suppose 0 = v*p + 3*u - 13, u + u + 4 = 5*p. Is p smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -109140.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.5 take away 169113122?\nAnswer: -169113125.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*b = -6*b - 48. Suppose -b*f + 40 = -4*f. Let k(v) = v - 7. Let d be k(f). Solve d*m + 9 = 0, -5*l - 3*m - 46 + 12 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 507778637?\nAnswer: 53, 9580729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - 52*j - 71*j + 2286 = 0 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -85*h**4 + 7*h**3 + 7*h**2 + 75. Let k(l) = 28*l**4 - 2*l**3 - 2*l**2 - 25. Let q(t) = 7*k(t) + 2*w(t). Differentiate q(x) with respect to x.\nAnswer: 104*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 1210*n + 4. Let q be a(5). Let p = -48499\/8 + q. Calculate the common denominator of p and (30\/(-44))\/(3\/(-15)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hlls when four letters picked without replacement from skkskkhkkslmmmmml?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -15*g + 1. Suppose 0 = 4*o - 3*f - 9, 4*o - 3*f = -f + 6. Suppose 4*w + 4 = o, 3*y - 47*w = -50*w. What is l(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 + -34. Let z = 22 + f. Suppose 0 = 6*b - z*b. Solve -4*p + 20 + 0 = b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19518 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (105 - 111) + 0 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 55343 by 5.\nAnswer: 55343\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*n + 18 - 36 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 158 + -158. Suppose o = 3*j + v + 32, -4*j + 4*v = -0*v + 32. Let w(m) = 9*m - 2*m**3 + 11*m**2 + 1 + 3*m**3 - 13. What is w(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 3)*(-1 + 1 - 4*h)*(3 - 2 + 2).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - h - 1916 = 0, h - 1531 = 6*z - 10*z. Let v = z - 377. Let g(l) = l**3 - 6*l**2 + l - 3. What is g(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19\/26 + -3\/13. Let f = -2\/77 - -83\/231. Let v = -2718\/17 + 160. Which is the third smallest value?  (a) z  (b) v  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -12\/217, 3, -1, 3\/25, 0, 0.7?\nAnswer: -12\/217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3403 - 3366) + 1 + -59.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.357 in -69, 0.3, 0.07?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22\/2945 + 2857\/11780. Let i = 13.52 + -14. Which is the closest to v?  (a) 4  (b) 1  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1545485500 divided by 5?\nAnswer: 309097100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36 + 33 + 42 + -28.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 29476 and 5992.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5797 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b**2 + 33*b + 28. What is the remainder when f(-17) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (11\/(-99))\/(2\/6). Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 498*w**2 - 273*w - 159. Let a(k) = -31*k**2 + 17*k + 10. Let n(b) = 33*a(b) + 2*c(b). Factor n(l).\nAnswer: -3*(l - 1)*(9*l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jeeaxetjeitettaitie. What is prob of sequence je?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 53*g**2 + 5. Let d(p) be the first derivative of 150*p**3 + 42*p - 1880. Give 5*d(q) - 42*l(q).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 0 = -5*f - 10, -2 = -5*l + f. Suppose b = 2 - l. Find the third derivative of -5*x**2 + 8*x**2 + 11*x**b + 2*x**2 - 4*x**3 wrt x.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25334961 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 less than or equal to 71\/72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -92 = -3*b - 17. Suppose 0 = 9*a - b - 2. Is (541\/a)\/((-2)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 0*r = 3*r - 15339, 3 = r. Let q = -5452 - v. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 + 85*x**2 - 1675*x - 1352. Give w(33).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 249\/209 + 925\/627. Solve 8\/9 - 14\/9*r**2 - v*r = 0 for r.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 71\/1704*624\/91.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 0)*(z**4 - z**4 - 2*z**4) + (-3 - 2 + 0)*(-z**4 + 0*z**4 - 2*z**4).\nAnswer: 11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 32281411*a**5 - 311241790*a.\nAnswer: 645628220*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 516359791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (59 + -75 - -14) + -33.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64 = -51*h + 344 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 80a + 686?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 3*h + 5*w, -2*h + 63*w + 67 = 62*w. What is the remainder when 433 is divided by h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1868782980.\nAnswer: 2, 3, 5, 47, 662689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 2126787.03 to the nearest 100.\nAnswer: 2126800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 55?  (a) 176  (b) 4\/5  (c) -4  (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/30*18\/24?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -12*k - 80. Let v be x(-7). Let o(g) = 188*g - 58. List the prime factors of o(v).\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1326 - 200*g + 1326)*(3*g**4 - 2*g**4 + 2*g**4).\nAnswer: -600*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10079 is divided by 2513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 18, -29, -8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.054302 to 3 dps.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 118, 88, 6 in decreasing order.\nAnswer: 118, 88, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12000020 + 0?\nAnswer: 12000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -24, -35, -46, -51, -44, -19, 30?\n\"Answer: b**3 - 6*b**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**3 + 6*f**2 - f - 4. Let q be a(-6). Let g(i) be the first derivative of 9*i**2\/2 - i - 2050. Give g(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3976355690 to the power of 1\/2, to the nearest integer?\nAnswer: 63058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s = 3*m - 9, 13667*m + 5 = 3*s - 7*s + s + 13669*m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (25\/(-30) + 24\/18)*10. Solve 0 = z*b + 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1065, 7074, 23431, 55326, 107949, 186490, 296139?\n\"Answer: 865*m**3 - 16*m**2 + 2*m + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1908646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15904 or 40\/9?\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + r - 1 = 0, -7*r + 3 = -4*r. Let k be (1 - (0 - -1)) + -2. Let t = k + q. Which is bigger: t or -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -176\/261?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 13*f**2 + 3*f - 12. Let i(l) = 7*l**2 + 2*l - 6. Let z(j) = 11*i(j) - 6*x(j). Let q be z(15). Let w = 232 + q. What are the prime factors of w?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + a + 87 = 23, -4*a - 189 = 3*q. Let n = q - -75. Let v(t) = 3 + n - 7. Let r(w) = -w**2 + 5. Calculate -4*r(j) + 5*v(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001145593649 to five dps.\nAnswer: -0.00115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -r**2 - 2*r + 4*r + 2*r**2 + 3*r**3 - 47*r**4 + 2 + 112*r**4 - 58*r**4 as q*r**3 + l*r + t*r**4 + s + u*r**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 + -1 + 33 + -1. Let g = -183815\/4 + 45953. What is the closest to h in 2, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*s**3 - 3055*s**2 + 146200*s + 230200500.\nAnswer: -5*(s - 249)*(s + 430)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.1, -4, -38\/9, 0.2 in ascending order.\nAnswer: -38\/9, -4, 0.2, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -3*(sqrt(88)\/(-1*sqrt(8)))**2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2728238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 8 = 1. Let a be (-57)\/(-2)*(-2)\/q. Suppose -p + a + 4 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 4*t**2. Let n(q) be the second derivative of -3*q**3\/2 - 20*q. Determine p(n(u)).\nAnswer: 324*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 6*a**3 + 2108*a**2\/11 + 3832*a\/11 - 240\/11 = 0.\nAnswer: -30, -2, 2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 24188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 33 - -0.05643\nAnswer: 33.05643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) -5  (b) 1\/6  (c) 3\/74  (d) 5  (e) -2  (f) -79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2540)\/15*(-12)\/16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes before 12:42 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.6 * 67915.\nAnswer: -108664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 309, 163 in descending order.\nAnswer: 309, 163, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b - 27. Let t be y(27). Suppose t*g - 32770 = -29*g. List the prime factors of g.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1212 - 2102220?\nAnswer: -2111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 - 16*t**2 + 18*t + 22. Let f be j(-17). Calculate the least common multiple of 11 and (f - 15\/4)*8.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 172686215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 + 9*w**2 + 9*w - 8. Let h be m(7). Let a = h - 445. Suppose -2*g + 110 = -a. Calculate the greatest common factor of 36 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6043.\nAnswer: 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 148 - 39. Suppose 0 = 2*d - 5*t - r, -5*t - 93 - 100 = -4*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 2*y**2 + 2*y + 5. Let w be 5*(-8)\/20 + -6 - -3. Let u(i) = -i**2 - i - 2. Calculate w*u(r) - 3*a(r).\nAnswer: -r**2 - r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 634644175.\nAnswer: 5, 11, 19, 23, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 504653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 72757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + 2 + (1 - 5). Let j be 31\/t + (-2)\/4. Let z = -11 - j. Solve -2*b = 2*s + 4, 5*b + s - z = 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/30*3*3\/(18\/75).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*o + 4*o = 29. Let d = 0.3 + -0.1. What is the closest to -2\/3 in d, -5, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 51?  (a) 44  (b) 0.03  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (25 - 7 - 6)*(-78 + 78 + c) to w*c + u and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86410 is divided by 2509.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 2*c = 278, -260*c - 282 = -3*f - 257*c. Calculate the least common multiple of f and 423.\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-14)\/(-119))\/1 - 27171348\/(-204) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.3 + -0.1. Let n = 730397\/5 - 146079. Which is the nearest to n?  (a) -1  (b) -1\/2  (c) -0.2  (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -57.6 + -167.8. Let t = f + 202. Let o = t + 23. Which is the smallest value?  (a) 5  (b) -1\/2  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((3\/(-72)*-2)\/((-120)\/720))\/((-2)\/(-40))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6294.891 millennia in years?\nAnswer: 6294891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1036425683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -114 - -115. Sort 3, -8, r in decreasing order.\nAnswer: 3, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.54 take away 6012603?\nAnswer: -6012598.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 97*l**6 + 3709268*l**4*z**3 - 4*l**2*z**3 + 385*l**2 + 80*l*z**3 - 21*z**2 wrt l.\nAnswer: 11640*l**3 + 89022432*l*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-44)\/(-12) + 2\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -28*n**5 + 24*n**3 - 851*n**2 - 4.\nAnswer: -1680*n**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are 2 and 870\/361 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2916773395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 239901?  (a) -1  (b) 5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58 = 11*u - 8 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*a**3 + a**4 - 2*a**3 + (3*a**4 - 3*a + 3*a)*(-40 + 68 + 131) as m*a**4 + b + p*a**2 + x*a**3 + w*a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -122 and -2.2787.\nAnswer: 278.0014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -9 and -3895.39?\nAnswer: 35058.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of -s**5\/30 - s**4\/12 + s**3\/6 - s**2 - 7*s. Let x be -4 - (-3)\/6*2. Calculate g(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 223 a factor of 737341127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1119932*q + 316618*q - 1261603*q.\nAnswer: -2064917*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4379.9997539 + -4380. What is d rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h - 16 + 16)*((-2*h**2 + 2*h**2 + 2*h**2)*(1 + 1 + 0) - h**2 - h**2 + 0*h**2 + h + 2*h**2 - h).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*t - 223*t + 5314 = 1635 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -3*l + 14 + 23 - 6. Let x be k(10). Solve h = -3 + x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 343.8 to the nearest ten.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16 and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -35\/6994 or 0?\nAnswer: -35\/6994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 216*w - 221*w + 12 = -4*j, -j = -8*w + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8625 = 18*j + 5*j. Let z = -1505\/4 + j. Which is the third biggest value?  (a) z  (b) 0.5  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10968958 and 693?\nAnswer: 98720622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(968))\/(sqrt(36)\/(sqrt(9)*4)).\nAnswer: 264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 741 is divided by 160.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 - 89 = 13*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 128 divide 507317854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the third derivative of -m**4\/6 - 2*m**3\/3 + m**2. Does 12 divide d(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llqqlllpllllpll. What is prob of sequence ql?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 - 7*b**2 - 48*b + 45. Let p be w(11). Sort -4, 2, -0.04, p, 11\/4 in descending order.\nAnswer: 11\/4, 2, p, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11100 + 11101?\nAnswer: 111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*j + 4*j - 6*j)*(-3*j - 5*j + 5*j) + (-5*j + 3*j + j)*(-1 + 1 + j) + 2 - 7*j - 15*j**2 + 7*j.\nAnswer: 5*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 961755 - 2 - 2*-2. Let k = -1638243 - y. What is k rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 5*x - 39. Let c be f(8). Which is smaller: 2\/93 or c?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n + 100. Let l(c) = 134. Let w(u) = 4*k(u) - 3*l(u). Let s(h) = 7*h + 3. What is -2*s(x) - 5*w(x)?\nAnswer: 6*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/4)\/(156 + -157).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (13 + 0 + -1) - -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -70 - -48. Let c(a) = 20*a - 41 + a**2 + 11*a**2 - 4*a**2 - 7*a**2. Let j be c(b). Solve -j*o - o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 1925 = -n. Suppose 4*z - n = -z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 200*a**3 + 3*a**2 + 20*a. Let u(t) = -201*t**3 - 4*t**2 - 24*t. Give -6*m(s) - 5*u(s).\nAnswer: -195*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the third derivative of -t**8\/6720 - t**7\/630 + t**4\/8 - 5*t**2. Let j(o) be the second derivative of f(o). Find the third derivative of j(u) wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/5 + -2)*-5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -0*q. Suppose 6*d - 5*n - 54 = 3*d, q = -n. Suppose -s + 3*z = -z + 7, s - d = -z. Solve 3*r + s = 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 13 = -14*s. Is s at most as big as -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 - 43*u**2 - 176*u + 8. Let l(a) = -a**3 + 43*a**2 + 177*a - 10. Let p(m) = 4*l(m) + 5*q(m). What is the second derivative of p(w) wrt w?\nAnswer: 6*w - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 518174.7 millennia?\nAnswer: 6218096400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 5657 = -23*z + 5593, -p - 32 = 4*p - z - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 73 + -59. Let k = 17 - l. Let q(d) = -d**2 - d + 4. Let c be q(0). What is the third biggest value in 6\/11, 0, c, k?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 + -13. Let s = -11 + 11. What is the biggest value in s, 4, y, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 + -6.2. Let g = 5.7 + -5. Let p = -4.7 + g. Which is the closest to w?  (a) 0.5  (b) -0.2  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 - 3. Suppose w - 3 = -d*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -107 + 961\/9. Let t = -1.1 + 0.1. Let p = 38\/3 + -13. Which is the third biggest value?  (a) p  (b) t  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 8*m. Let j(w) = -21*w. What is j(p(q))?\nAnswer: -168*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -349 - -351. Suppose l*k = -j - 0*k + 68, -5*j - 2*k + 372 = 0. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 21\/4 of a week?\nAnswer: 52920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7\/12 + 3\/4. Let l = -86.9 + 87. Which is the nearest to l?  (a) m  (b) 2  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 279560 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 8) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -523854 divided by 89\nAnswer: -5886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2830 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1111210 (base 3) to base 11\nAnswer: -911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 20*f - 246. Give p(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*a - 5. Let s(q) = -q - 7. Let f be s(-7). Solve u - a + f = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*p = 34*p - 9. Let q = p - -11. What is the lowest common multiple of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-12) + 49\/1368. Let o = f + 1\/171. Let m = -59752 - -59750. Sort 0.5, -0.3, m, o.\nAnswer: m, -0.3, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/37530 and 121\/6.\nAnswer: 37530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001936 to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 914567 (base 10) in base 15?\nAnswer: 130eb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-4 - -3)*11\/(-33).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3333050 is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 40 = 3*l - l, 4*l + 3*g = 135. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -874, -1745, -2616, -3487?\nAnswer: -4358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 200*p + 559*p - 80*p + 46260 = -92*p for p.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y + y - 6. Suppose -y*p + 7*p - 12 = 0. Suppose -37 = -m + p. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 111747*g**4 + 106832448*g**3 + 25534615656*g**2 + 529180416*g + 2741808 = 0. Calculate g.\nAnswer: -478, -2\/193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.963 less than -0.99?\nAnswer: 10.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, 1, -1, 4 in increasing order.\nAnswer: -1, 1, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05 times -0.12555?\nAnswer: 0.0062775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -30 + 30. What is the biggest value in 0.5, 0.2, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -760 or -93395\/123?\nAnswer: -93395\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*w + 132 = -9*w. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-122*w**2 - 139*w + 139*w)*(3 - 3 - 2) + (0*w + 3*w - 5*w)*(2*w - w + w))*(-3*w - 3 + 8 - 3).\nAnswer: -720*w**3 + 480*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 73, 76, 81, 88, 97, 108?\n\"Answer: k**2 + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 70 + -67. Suppose 5 = 5*v, 2 = 2*h - v - r. What is the remainder when 7 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - (-5 + 6)) + 3 + 1 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1.6*16\nAnswer: 25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are 1561545 and 1561545 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2833.91*-230.\nAnswer: 651799.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -19*j + 2. Let f(p) = 71*p - 8. Calculate -6*f(n) - 22*w(n).\nAnswer: -8*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**3 + 10*d**2 - 9*d + 4. Let o be t(9). Differentiate -3*k - 4*k + o*k + 2 wrt k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 65\/7 - 6\/21. Let a(z) be the third derivative of -z**6\/120 - z**5\/30 - z**4\/8 + z**2. Let h be a(-3). Calculate the greatest common factor of h and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 + 21*d**2 - 11*d + 53. Calculate a(-22).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 597 = 3*s, -5*s - h - 1009 = h. Let a be 6*2\/18 + (-110950)\/(-75). Let y = s + a. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 35\/(-10) - (-401185)\/38?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 + 0.25. Let q = r - -0.05. Suppose 3*b - 4*b + 5*y + 18 = 0, -2*b - y - 8 = 0. What is the third smallest value in q, b, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -0.06  (c) 177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -3*y**2 - 2*y + 7. What is m(-6)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 172 = 5*n, t = -5*n - 2*t + 169. Calculate the remainder when 146 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 898, 900, 904, 910, 918, 928?\n\"Answer: h**2 - h + 898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -1, -26, -2, -3.\nAnswer: -26, -12, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 122293 + -122279.9974. Let a = 12.84 - -0.16. Let t = q - a. Round t to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -4  (b) 12  (c) -0.04  (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1020 and 15572.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -112.455*-55\nAnswer: 6185.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 136, 125, 92, 25, -88, -259, -500, -823?\n\"Answer: -2*a**3 + a**2 + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -4596*d**3 - 3323*d**2 - 21. Let h(m) = 2300*m**3 + 1662*m**2 + 9. Let j(o) = 7*h(o) + 3*z(o). What is the third derivative of j(r) wrt r?\nAnswer: 13872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 34\/34905 and -77\/4296.\nAnswer: 279240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 2 w when three letters picked without replacement from {f: 1, p: 1, w: 4, u: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 4*u = -48, y = -4*y + 5*u + 80. Let p = -1 + 7. Let l be 12*(-2 + 44\/p). Calculate the greatest common factor of y and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -574, -615, -684, -787, -930, -1119, -1360?\nAnswer: -1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 32 = 4*p, -3*r + 1 = p + 17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**2 + 5*f. Let w be r(5). Let o = w - 6. Let z(s) = -s**2 - 7*s - 7. What is z(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in -2\/25, -0.09, 1.5, -13, -1\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from cjccjcjjjccjcjscj.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.37036 from -3.\nAnswer: -1.62964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 3*l - 30 = 0, 5*l = m + 2 + 4. Let z(c) = -c**2 - 8*c + 7. Is 19 a factor of z(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the third derivative of j**7\/15 + 19*j**4\/24 - 10*j**2. What is the second derivative of m(f) wrt f?\nAnswer: 168*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -4*a**3 - 36*a**2 = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 155417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -219*i**2 + 102*i**2 + 116*i**2 + 12*i = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -39952067*n**3 + 3*n**2 - 5135*n - 11 wrt n?\nAnswer: -239712402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*g**3 + 2 - 1 - 55*g**2 - 2 - 38*g**2 - 19*g**2 to the form v*g**3 + s + n*g**2 + r*g and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -291 + 257 = -2*l for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -500\/3*t - 1\/3*t**4 + 5*t**3 + 0 + 0*t**2 = 0. Calculate t.\nAnswer: -5, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a**2 - 5*a**2 + 3*a**2)*(-19 + 20*a**2 - 18*a**2 - 12)*(43 + 29*a - 43).\nAnswer: -116*a**5 + 1798*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mjjm when four letters picked without replacement from jjjjjmmmjm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence di when two letters picked without replacement from dddddioxoodddxdd?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*n + 3*s, 4*s - 15 = -5*n + 1. Suppose n = 5*l - 4*z + 6, l - 10 - 12 = -5*z. Solve 0 = -4*w + 6 + l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -165*r**4 + 8*r**3 - 11*r**2 + 24*r - 318. Let j(m) = -55*m**4 + 3*m**3 - 4*m**2 + 9*m - 106. Let v(o) = -8*j(o) + 3*l(o). Differentiate v(x) wrt x.\nAnswer: -220*x**3 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 4*f**2 - 111*f - 26. Let c be k(28). Solve 24 = 2*v + c*z + 2*z, 4*z - 26 = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 77, 67, 51, 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m = -13*m + 255. Let b = m - -75. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7392034 litres in millilitres?\nAnswer: 739.2034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (0 + -1) - (-137 + 141)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/((-2)\/(-3)*(-9)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 465 is divided by 130?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1300*q - 1624.\nAnswer: -1300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/7 and (-4 + 252\/20)\/((-2)\/5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-21)\/(-9) + 2\/3. Let y = -276 - -280. What is the hundreds digit of 0\/(y - h) + 178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 2*f + 3. Let i be q(-2). Let s = -29\/20 - -5\/4. Suppose 5*x + 41 - 21 = 0. Put x, 2\/17, s, i in ascending order.\nAnswer: x, i, s, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 95070637.\nAnswer: 95070637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-26)\/(-3))\/((-2906)\/1451 + 2). Let m = 3123 + f. Find the common denominator of 4\/(-18) - (-533)\/(-72) and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes before 10:39 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -50*d - 1888. Calculate t(-38).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-10)\/(1 - (-5)\/(-3)) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11107589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 3*s + 9 = -1, 0 = f + 3*s - 8. Let x(h) = -h**3 + 14*h**2 + 2*h - 26. Let q be x(14). Is f >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*s**5 - 98328*s**3 - 293839715*s**2.\nAnswer: 480*s**2 - 589968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/689 or -1?\nAnswer: -2\/689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -2*v. Let l(c) = -2392*c. Give l(z(w)).\nAnswer: 4784*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001203128 rounded to seven decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = z - 80, -3*q - 6 = -0*q. What is the remainder when z is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 99.7679 centuries to months.\nAnswer: 119721.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 31684451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 528 and 1104?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 4:34 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -12  (c) 1633\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -9674619, -9674621, -9674623, -9674625, -9674627?\n\"Answer: -2*q - 9674617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11186.\nAnswer: 2, 7, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.7 - -0.3. Let p = 4.1 - x. Let h = 65\/252 - -1\/36. What is the third biggest value in p, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*p - 6269012 = -6270345 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x + 1. Let w be m(-1). Suppose b - w*h - 5 - 29 = 0, -4*h + 22 = b. What is the highest common divisor of b and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 7*q**2 - 191*q - 47. Calculate the remainder when w(30) is divided by 39.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 - 18*t**2 + 34*t - 16. What is o(16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 60507135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6061*z - 2539*z + 3644*z + 3541*z to w + f*z and give f.\nAnswer: 10707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -558 by -186.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(171)\/(sqrt(900) + sqrt(900)*2).\nAnswer: sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12, 6, -2, -12, -24, -38, -54?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 65\/25 + (-1)\/(5\/(-2)). Suppose -8*b + u*b + 5*a + 160 = 0, -b + 2*a = -36. Solve -4*r = -5*j - b, -2*r - 5*j - 18 = -2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 + 2)*(-10)\/(-4). Suppose -q*b + 19 = -1. Is (3 + (-254)\/b)*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13044 + 26087\/2. Which is the nearest to -3?  (a) 3  (b) m  (c) -47  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -36 + 201. List the prime factors of k.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-3\/26)\/a)\/(a\/(a*a*a\/(a*a**(15\/8))*a))*((a*a\/(a**(-10)*a)*a)\/a)\/a*a**(-4\/21) assuming a is positive.\nAnswer: a**(19261\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 7) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z\/z**(-1))\/z*z)\/z**(-1\/8))**(-4\/9) assuming z is positive.\nAnswer: z**(-25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 105 = -4*z. Let j be ((-14)\/z)\/(4\/978). Suppose -135 = -2*w + j. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 2  (b) -2\/19  (c) -0.04  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 12*y**3 + 5*y**2 - 5*y - 5. Let d = 162734 - 110514. Let h(u) = 6 + u - d*u**3 + 5*u + 52208*u**3 - 6*u**2. What is -5*h(m) - 6*n(m)?\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.0628 from 0.28.\nAnswer: 0.2172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1, 5, 51779, 3.\nAnswer: -3, 1, 3, 5, 51779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21 + 2 + (-3 - -30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -w**2 + 881*w - 15534 = 0.\nAnswer: 18, 863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-1 + (-5 + sqrt(1300) + -4*sqrt(325))**2)*4.\nAnswer: 400*sqrt(13) + 5294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.366 and 315973.\nAnswer: 315972.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -3*f - 12. Let v be d(-5). Suppose 10*t = 7*t - v, -4*y = t - 163. What is the remainder when 80 is divided by y?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -54*y - 71. Let r(z) = -z - 6. What is k(s) - 4*r(s)?\nAnswer: -50*s - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -599584 (base 11) to base 16\nAnswer: -e7dc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.3699 to 2 dps.\nAnswer: -2.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1254087 is divided by 47?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 - 5*w - 3. Let s = 29 + -32. Let b be n(s). Find the second derivative of -48*a**3 + a**4 - 54*a**b + 9*a + 102*a**3 wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*y**2 + 68*y**2 - 23*y**2 - 13*y**2 - 14*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the second derivative of -n**6\/10 - 33*n**5\/50 - 33*n**4\/20 - 2*n**3 - 6*n**2\/5 + 7*n. Solve w(t) = 0 for t.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1344) - sqrt(21))\/sqrt(3) + (3*sqrt(7) - sqrt(7))*5 + ((sqrt(21)\/sqrt(3) + 0 - (sqrt(700) + 0))*6)**2.\nAnswer: 17*sqrt(7) + 20412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and 2.9.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -31412 - 3342120?\nAnswer: -3424032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2019, 4346, 6673, 9000, 11327, 13654?\nAnswer: 15981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22*1.18.\nAnswer: 25.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes before 11:04 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112*u + 107*u = 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*b - 6*b**3 + 67*b**4 - 3*b**3 + 69*b**4 - 152*b**4 as w*b**3 + p*b**4 + x + h*b + l*b**2 and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -2*q**2\/5 + 12764*q\/5 + 630224 = 0.\nAnswer: -238, 6620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 1. Let h(u) = -u + 20. Let s(b) = h(b) - 2*n(b). Is s(-13) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/79 in 2, 5\/2, -2\/5, -6\/7, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 + 3*y + 2. Suppose 14*p - 28*p + 28 = 0. Let q be (-60)\/(-15) - p*(-2)\/(-2). Calculate f(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 277 and 3?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/33 and 169\/3690.\nAnswer: 40590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -25 + 33. Suppose 0 = -3*v - 3 + 24. What is the lowest common multiple of l and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vtr when three letters picked without replacement from {w: 1, b: 2, r: 2, a: 4, t: 4, v: 2}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 34\/19, -615, 3?\nAnswer: 34\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**2 - 2796*p**3 - 2*p**2 - 2222*p**3 + 3407*p**3.\nAnswer: -1611*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 258.665709*-0.3.\nAnswer: -77.5997127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -119, -117, -115, -113, -111, -109?\n\"Answer: 2*x - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 10, o - 5*o = -2*h + 22. Let g be (-12)\/(-54)*(-3)\/h. Put -1\/6, g, 1\/2 in ascending order.\nAnswer: g, -1\/6, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 - 1432?\nAnswer: -1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v - 4*v + 5*v)*(v - 2*v + 4*v) + 2*v**2 + v - v + (4*v + 3*v - 4*v)*(4*v - 5*v + 0*v) - 6 + 2*v**2 + 6.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1773*d*i**3 + 15*d*i**2*m**2 + d*i**2*m - 50*i**3*m**2 - 6*i**3 + 17*i**2 + 528*i*m**2 wrt i?\nAnswer: -10638*d - 300*m**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.36576 and -29.\nAnswer: -10.60704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (21\/28)\/(3\/32). Let w(k) = 8*k**2 - 4*k - 46. What is the hundreds digit of w(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 4*i - 1. Let d(q) be the second derivative of -q**3\/3 + 35*q. Give d(k(c)).\nAnswer: -8*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -154.3 + 135.3. What is the smallest value in -9, p, 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**2 - 7*o - 1. Let m be h(-6). Let s = 18 + -16. Solve s*i + 3*q + 15 = 0, m*q + 27 = i + 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (5 + -18 - (2 + -9 + -2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29 - -28. Let j be (-13)\/(-117) + (-3 - 1455\/(-27)). Let t = m - j. Is 4 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -625, -22 in descending order.\nAnswer: 3, -22, -625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1080 and 3510?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 597*h**3\/7 + 2376*h**2\/7 - 48*h\/7 = 0. Calculate h.\nAnswer: -4, 0, 4\/199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-two fifteenths of a minute in milliseconds?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 1)*(-b - 3*b + 11*b).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/(-10))\/(((-5)\/90)\/(42\/(-27)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-16)\/(-56))\/((-2)\/(-42)). Suppose -3*u + n*u - 3*w = 114, -155 = -4*u + 5*w. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -2*x**2 + x - 1. Let y be (-6)\/45 - (-13)\/(-15). Let g(v) = -v**2 + v - 1. What is y*q(p) + g(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 + 6*m**2 - 2*m - 3. Let j = 30 + -29. Suppose d + 27 = 5*z - 7, 2*d = z - 5. Let r = j - z. Give v(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 249\/15 - (-16)\/40. Let v = j - 13. Suppose -70 = -v*t + 626. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the first derivative of 2*h**3\/3 + h**2\/2 + 18*h - 2. Is x(0) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 + 4 - (5 - 1))*-479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4824)\/(-159795)*10\/(-8)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -1139 - 121. Suppose 341 = d + 2*q, 12*q + 12 = 15*q. Suppose 9*c = d + j. Calculate the remainder when c is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4772281483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2. Let v(o) = 7052*o**2 - 3*o - 6. Let q(i) = 810980*i**2 - 344*i - 688. Let z(t) = 3*q(t) - 344*v(t). Give g(z(f)).\nAnswer: 49730704*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.5, -183, 7, 2?\nAnswer: -183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 + -9. Let x = 0 + 10. Let s = x + -5. Put k, 3, s in descending order.\nAnswer: s, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 1:48 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1486 divided by -3?\nAnswer: 1486\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10*c**2 - 11*c**2 - 14*c**3 - 39*c**2 - 95*c - 78*c - 21 - 2*c**3 wrt c?\nAnswer: -96*c - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - 34 - 294. Suppose 24 = 3*a + 171. Let c = a - h. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -1033 and -2239.\nAnswer: -3272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 945 is divided by 934.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 + 2. Let t = 22650 + -22614. What is the highest common factor of t and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqbbbhbbbbqbbbbhbb. What is prob of picking 1 q, 2 b, and 1 h?\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11333, 22732, 34211, 45776, 57433?\nAnswer: 69188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x**2 + 244673291*x - 244673291*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -587, -0.1, 0.4, 1\/6.\nAnswer: -587, -0.1, 1\/6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 258048.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -169\/29113 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 + 34*w + 97. Let l be c(-31). What is the closest to -0.022 in -4, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 3*y = -62466, y + 20820 = -8*u + 7*u. Let q = -499823\/24 - u. Find the common denominator of q and 1 + (55\/(-21) - 2).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1474)\/33*((3 - -1) + -1). Let y = 218 + u. What is the highest common divisor of 42 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.75 - 0.35. Let u = l + 2.3. Sort 2\/17, u, 0.4 in increasing order.\nAnswer: 2\/17, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sbccbqsbqqdbd. Give prob of sequence dqs.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-26)\/(-6) + (0 - 84\/12)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11 and -24\/47233.\nAnswer: 47233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 741 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -275 divided by -275?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12557*d + 62816*d - 12565*d - 12567*d - 12560*d - 12564*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3320, -1, 15.77?\nAnswer: 15.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1170 and 2080?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*o = 48*o + 2. Which is bigger: o or 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmnnimnnwrmnmmw. What is prob of sequence wi?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v**4 + 16*v**3 + 174*v**2 - 1188*v = 0 for v.\nAnswer: -9, 0, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.79176 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -21280600 to the nearest one hundred thousand.\nAnswer: -21300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.987 - -21.987. Put -8\/3, -0.06, u in ascending order.\nAnswer: -8\/3, -0.06, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -66  (b) -10  (c) -34.85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -2*j**2 + 7*j + 17. Let s be m(5). What is the second derivative of -4 - 2*d + 20 - 41*d**4 + 34 + 0*d**2 - s*d**2 wrt d?\nAnswer: -492*d**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-12)\/(-48) - (-15)\/4. Let i be (0\/g)\/((2 - 1)*1). Suppose -t - 103 = -98. Put i, -4, t in ascending order.\nAnswer: t, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 31396000 to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1521\/45 + (-1344)\/105 + 12. Suppose -3\/4*f**2 + g*f - 363 = 0. What is f?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**2 - 223*t + 4595. Calculate y(28).\nAnswer: -865","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = -2*y + 9*n - 13*n, 3*y = -3*n + 21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + 1.2. Let w = -120 - -30. Let d be (-2)\/12 + (-51)\/w. What is the third smallest value in d, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19895 - -1293139\/65. Find the common denominator of p and 38\/25.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -55\/28 - 1361\/84. Suppose 8 = -3*b - 4, -4*b = 5*f - 14. Calculate the common denominator of f\/4 + 5\/(75\/(-192)) and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 + -10. Suppose k = -h*k + 84. Suppose 1 = r - 4, 2*w + 6 = 4*r. Calculate the greatest common divisor of k and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) 0  (b) -0.4  (c) 0.3  (d) -3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 5*r**3 + 9*r**2. Let f = 3 + 3. Let z(g) = 4*g**3 + 8*g**2. Let o(k) = f*b(k) - 7*z(k). What is the third derivative of o(s) wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8021, 8023, 8025?\nAnswer: 8027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -3*m - 1, -2*m + 6*m - 4*z = 36. Suppose -42 = -4*b - 14. Suppose -11 = -b*v + 3. Solve 7 = v*u - 3*q - 18, 0 = -m*u - q + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that 81*v - 14*v**3 + 2 + 6 + 11*v**3 - 8 + 18*v**2 = 0.\nAnswer: -3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 4*f + 60 = -4*r, -5*r + 2*f + 110 = 0. Let a = r + -9. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 565911 to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, -3, -2, -139, -1.\nAnswer: -139, -15, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -620169, -1240298, -1860427, -2480556?\nAnswer: -3100685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -92 + 94. Let o(f) be the first derivative of 0*f**z + f - 2 - 1\/3*f**3. Differentiate o(q) with respect to q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-40)\/12*(-6)\/48. Let r(m) be the second derivative of v*m**4 - 3\/10*m**5 + 0*m**2 + 0*m**3 + 2*m + 0. Find the third derivative of r(q) wrt q.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 316 = o - 3*p, 0 = 4*o + p - 1251. Suppose -o*b = -325*b + 36948. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 39449376 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 - 11. Suppose f*i = 4*i. Solve i*a - 4*a + 12 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1520 is divided by 257.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/((-3)\/(-9) - 1). What is the tens digit of 14*(-5)\/((-35)\/a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1154256 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2054070123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56987423?\nAnswer: 563, 101221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 15, 3*l + 15 = 5*r + 70. Sort 27, 2, 3, r in descending order.\nAnswer: 27, 3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53454869 - 6*t**3 - 53454869.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -323 = 5*t - 4*b, -332 = 5*t - 4*b + 3*b. Find the common denominator of -85\/8 and t\/(-32)*(6 - 4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(1700)*3.\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 6*k**3 - 66*k**2 - 16*k - 7. Let z(h) = 7*h**3 - 67*h**2 - 19*h - 9. Calculate 5*o(d) - 4*z(d).\nAnswer: 2*d**3 - 62*d**2 - 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 17 = 7. Suppose 1 = 2*z + l. Which is the second smallest value?  (a) 5  (b) z  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*h**2 - 3*h**2 - 5*h**2 + h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.089 and 0.2.\nAnswer: 0.0178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t**3 + 4*t**3 - 4*t**3)*(-4 + 3 + 0)*(-1 + 6 - 3) + 3*t**3 - 3*t**3 + t**3 + (2 - 6 + 3)*(4*t**3 + 2*t**3 - 4*t**3) + 4*t**3 + 0*t**3 + t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/w**(-1)*w)**(-3))**(-15\/4))**(-3\/17) assuming w is positive.\nAnswer: w**(-405\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 34.33 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 627 is divided by 209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17*w**6 - 26*w**4 + 190*w**3 - 10493*w**2 - 30*w wrt w?\nAnswer: -2040*w**3 - 624*w + 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.1 + -0.1. Suppose 8*v - 4*v + 3*r = 72, 5*v - 90 = -4*r. Let w be 3\/9 + 30\/v. Sort f, -5, w in increasing order.\nAnswer: -5, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -4  (b) 0  (c) -1  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1533 is divided by 734?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 - 16*b**2 + 17*b - 4. Let a be ((-45)\/90)\/(2\/68). Determine m(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of 113*k**7\/7 + 7*k**3\/3 + 125. Find the third derivative of t(s) wrt s.\nAnswer: 13560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -3\/4, -1247, -1\/6, 3, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5003926 - 2*a**2 + 10007863 - 58*a - 5003937.\nAnswer: -2*a**2 - 58*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4001142?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -840*t - 13119. Give x(-16).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76250 is divided by 76010?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let g be 92\/(-22) + 18\/99. Sort 4, g, 2.\nAnswer: g, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 211748874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -11*q + 7*q. Factor 0 + 1\/6*w - 1\/3*w**2 + 1\/6*w**q.\nAnswer: w*(w - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 - 5*b**2 + 3*b - 8. Let d = 76 - 72. Suppose 2*q + 5*x + 10 = 23, -2*q + 8 = d*x. Determine k(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 428 - 429.9. Which is the smallest value?  (a) 0.6  (b) -2\/11  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 2*t + 4. Let o(w) = -2*w**2 - 66. Determine o(u(d)).\nAnswer: -8*d**2 - 32*d - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 11. Suppose -o*r - 12 = -3*r. Let t = -128 - -644\/5. Which is the third smallest value?  (a) 1\/6  (b) t  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 19 + -16. Let d = -0.3 + -2.7. Let k = d - -2.9. Sort n, -2\/5, k.\nAnswer: -2\/5, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 44 + 5745556?\nAnswer: 5745611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22 + 16. Let u be 3 + (2 - 5)\/t*0. Determine f, given that -u*f - 3 - 3*f**2 - 6*f + 15*f**2 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28749824 times 0.1\nAnswer: 2874982.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -29, 7278?\nAnswer: 7278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-112)\/(-280)*-1 - ((-88)\/245 - 0)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -4*k**3 + 22*k**2 + 3*k. Let u(p) = 3*p**3 - 22*p**2 - 2*p. Give 3*u(n) + 2*w(n).\nAnswer: n**3 - 22*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 53 - 28. Let s(i) = i + 17. Let q be s(-14). Suppose -f + 9 = 4*w, f - w + q*w = 7. Calculate the highest common divisor of y and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 634  (b) -13683  (c) 0.2  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1421 - -2762. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6015 (base 9) in base 13?\nAnswer: -1cc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(-8) + 28\/16. Suppose k*j = 3*j - 10. Let z(p) = j*p + 9*p - 16*p + p. Let n(d) = -6*d. Give z(n(l)).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -415, -1366, -2951, -5170, -8023?\n\"Answer: -317*n**2 - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the first derivative of 3*u**2\/2 + 2*u - 178. Determine s(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 242301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/(-14)*-2)\/(39\/156 + (-62)\/232)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add 1.4 and 2150.\nAnswer: 2151.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -3*h**2 + 10*h - 11. Determine g(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -4, 3, -3 in increasing order.\nAnswer: -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 2 p when four letters picked without replacement from ohjaokp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (535 - 538)\/(-1 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuuuuuuuttuuuuuuuuu.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -3\/5, 0.5, -1, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 143 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 4 + 0)*(5*k**4 - k**4 - 3*k**4) - 3*k**4 - 3 + 3 to the form l*k**3 + t*k + f*k**2 + p*k**4 + y and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 - 1314*h - 55547. Calculate z(-41).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1507  (b) -0.4  (c) 0.13  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 - 7 - ((0 - 0) + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 1101*g**3 - 4*g**2 + 4*g - 11. What is the units digit of f(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -2*d + 2*k + 36, 60*d - 62*d - 122 = 10*k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 2*l + 6 = -9, -3*l = 4*u - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(3\/5))**10\/(y\/(y\/(y\/(y*y**(2\/13)\/y)))*y**(-3\/5)\/y) assuming y is positive.\nAnswer: y**(439\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 6) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/12 + (-11)\/77*812\/1740?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 386127 and 65376?\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**3 + 21*n**2 - 21*n + 30. Let o be v(20). Suppose -5*r + o*i = 9*i - 122, -4*r + 3*i = -91. Which is smaller: r or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6\/4*12)\/2. Is 3679\/a + 8\/36 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93413.98 kilometers in meters?\nAnswer: 93413980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 take away -3651967759961?\nAnswer: 3651967760009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 3 = 5, -4 = 2*d - 4*w. Solve d*a + 4 = 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 307850 is divided by 872.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -7*v + 4*v - 4*v. Let p(f) = f**2 - 3*f + 2. Let n be p(2). Let j be 0 + (-8)\/(-1) - n. Let q(w) = 11*w. Calculate j*s(k) + 5*q(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (12\/(-12))\/((-2)\/4). Suppose -4*b = -2*u + 462, 4*b = -3*u + a*u + 237. List the prime factors of u.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 35*i**2 + 6*i + 60. What are the prime factors of k(7)?\nAnswer: 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 1, 1462, -3\/5, -0.1, -3\/2, 1.13?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m + 1 - m + m)*(-2 + 6 + 1).\nAnswer: -10*m + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7475806ng to kilograms.\nAnswer: 0.0000000000007475806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3*a - 3 + (5 - 4 + 1)*(0*a + 2*a - a))*(3*a - 3*a + a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -75163*-29.\nAnswer: 2179727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the second derivative of 0 + 1\/3*c**4 + 0*c**2 + 0*c**3 + 401*c. Let a(z) = 9*z + 9*z - 3*z. Calculate a(r(q)).\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1.6 + -5.40169\nAnswer: -3.80169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 17 = 5*m, 0*f + 2*f - 10 = -4*m. Which is the second biggest value?  (a) -0.3  (b) f  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -140*l**3 - 3*l - 3. Let m be 303\/3 - -2 - (-4 + 2). Let c = m + -106. Let g be j(c). Calculate the highest common factor of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*k**4 - 3 + 24*k - k**3 - 24*k + k**4 to the form t*k**3 + z*k**4 + s*k + o*k**2 + u and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (-2 - -2) - (2 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5667*q - 1726 = -2814*q - 2829*q - 70 for q.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h + 1. Let b(v) = -7*v - 21. Calculate 4*b(l) + 84*m(l).\nAnswer: 56*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v**4\/5 - 104*v**3\/5 - 81*v**2 - 502*v\/5 - 40 = 0.\nAnswer: -100, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.3403209 minus 85412?\nAnswer: -85413.3403209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (2622\/(-152))\/((-6)\/160)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -201*n**2 - 148*n + 63. Give z(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*v**3 + 108*v**3 + 2 + 70*v**3 - 314*v**3.\nAnswer: -91*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 0 + 5*c - 12*c**2 + 13*c**2 - 5. Let d = -22 - -15. Let n be q(d). What is the greatest common divisor of 27 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 5.821 and 134898?\nAnswer: 134892.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -4926 divided by 16\nAnswer: -2463\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 4*h**2 - h - 2. Let t be d(2). Let w be (-192)\/340 + t\/15. Is 0 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -671*k**2 + 116148*k - 467259602 with respect to k.\nAnswer: -1342*k + 116148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -3, 21\/34, 1\/7, 0.3, -3\/8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 27 + 4 - p)*(4*p**2 - 3*p**2 + 4*p**2) to the form z*p**2 + m*p + j*p**3 + t and give z.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**2 + 3*r + 3. Let h = 19 + -5. Let x = h - 9. Let n = x - 8. Calculate u(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**2 - 7*x + 1. Let k be p(4). Let g = -8 - k. Suppose -5*w + 115 = 4*j, 1 = g*w + j - 61. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 544, 1079, 1566, 2005, 2396?\n\"Answer: -24*a**2 + 607*a - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -9, 5, 140, 4 in increasing order.\nAnswer: -9, -4, 4, 5, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 6*a + 7 = 5*j, 2*j - 5*a + 1 = 0. Is 2 - 174\/(-4 + j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 131929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (p**2 + 0*p + 0*p + (1 - 2*p - 1)*(-p - p + 0*p) - 2*p**2 + 3*p**2 - 2*p**2 + 1)*(-6 + 4 + 1) in the form w*p + a + v*p**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**4 + 0 + 0*v**4 + 3)*(-v - v - 2*v + (3*v - 2*v - 3*v)*(4 - 3 + 2) + 4 - 4 - v).\nAnswer: -11*v**5 - 33*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 4*m**3 + 5126004*m**2 - 10252020*m + 5126012 = 0.\nAnswer: -1281503, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 97\/18 > 0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 12300 (base 4) in base 5?\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7754 - -8736. What is the remainder when n is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -204 divided by -68?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 1197 divide 2095947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/5, 2\/31, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of -423017*k**2\/2 - 170*k + 120. Let b be o(-10). Round b to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 0.76  (b) 1.9  (c) -198\/7  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -5*o**2 + 20*o + 960 = 0.\nAnswer: -12, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, -0.04, 1302.6.\nAnswer: -25, -0.04, 1302.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 - (150\/5 - 288\/6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*o**2 - 1074809057818 + 1074809057818.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(3\/2)\/h*(h*h**(-16))\/h)\/(h**(-1\/2))**(3\/2))**(-13\/4) assuming h is positive.\nAnswer: h**(715\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 0.5, 0.24, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 16712783 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5345 + -3528. What are the prime factors of w?\nAnswer: 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -18*c**2 + 118*c - 148. Give q(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/12*-4)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -14*w + 12. Give i(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1656, -1655, -1654?\n\"Answer: t - 1657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 + 110\/(-20))\/((-2)\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2920.6 + -2920.2. Let t = 10 - 20. Which is the second biggest value?  (a) 0  (b) w  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -1. Suppose 3*v - 80*j = -85*j - 30, 0 = v - j + 2. Let f(m) = m + 7. Calculate v*y(c) - f(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51 + 52*v - 31 - 31 + 19*v**2.\nAnswer: 19*v**2 + 52*v - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 138891 and 8745987?\nAnswer: 2073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((25\/(-70))\/(360\/(-252)))\/((-1)\/2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 - (-51 + 82 - -6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.021 - 31.021. Let r = 31.98 + a. What is r rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 45378?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 515044227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1415 minus -444678660?\nAnswer: 444680075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -741*s**2 - 4 + 755*s**2 + 4.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 6*y - 3*y - 9, -3*k - 4*y = -12. Suppose k*q - 3*q + 9 = 0. Let c = 155\/17 - 9. What is the smallest value in -2\/5, c, q?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 17*p**2 + 20*p + 19. What is the tens digit of i(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1048548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -61078, -61079, -61102, -61165, -61286, -61483?\n\"Answer: -3*w**3 + 7*w**2 - w - 61081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -46 divided by -11?\nAnswer: 46\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 15) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from {f: 2, q: 2, d: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 7*444\/672 - (7 - 1). Which is smaller: v or 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4 + 0*(-6 - (-10 + 3)). Suppose -z*j = -4 - 16. Solve -2*m + 7 - 1 = 0, j*m - 19 = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35\/70*(-260)\/182.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 5*j - 45 = 0, -4*x - j + 6*j + 60 = 0. Is 34 a factor of ((-68)\/10)\/((-3)\/x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9462.954 microseconds in seconds?\nAnswer: 0.009462954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2\/83227 - -1081947\/166454. Let a(j) be the second derivative of 0 - g*j**2 + 0*j**4 + 0*j**3 - 7*j - 9\/5*j**5. Differentiate a(k) with respect to k.\nAnswer: -108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 - (0 - -3)\/3. Let l be 1\/(1\/337 + u). Is (10 + -8)\/(2\/l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 193780 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 14*v**2 - 7*v - 6. Let c(b) = b**2 + b + 1. Give -6*c(m) - d(m).\nAnswer: -20*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/((-3)\/(((-3)\/5)\/(29\/145)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 8118*l**2. Let n(k) = 14*k**2. Give n(f(w)).\nAnswer: 922626936*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 0 = -2*y + 4*y + 4 - 4, 4*y - 51*f + 118 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1560 - -2250. What are the prime factors of n?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 22 + -9 + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + -6 + 11 - (-14 + 10 + -5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o = 41*o + 19*o + 2304. Suppose 6*v = -17 + 5. Sort v, -1, o in decreasing order.\nAnswer: -1, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16 - 14. Let s(c) = 3*c + c**2 - 4*c + 0*c**x - 1. Suppose 5*o - 2*o = -9, 5*o = 3*z - 12. Let i(k) = 3*k**2 + k - 2. Give z*i(r) + s(r).\nAnswer: -2*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of 4\/5*x**4 - 18 - 16\/5*x**3 - 12\/5*x + 22\/5*x**2. Find o, given that i(o) = 0.\nAnswer: 1\/2, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 48 = -13*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 15) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-2 - -1) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -12658918\nAnswer: 12658918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -9 + (-8 - (-17 - -7))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the third derivative of -w**4\/12 + 5*w**3\/3 - 87*w**2. Determine f(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 845237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-139 + 3)\/(-16 + 18) + 6. Sort g, -0.06, -3 in decreasing order.\nAnswer: -0.06, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 2*v = -u - 17, 7 = 3*v + u. Suppose -2*d + v*d = 7. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-4 + (sqrt(80))**2) - (sqrt(405) + sqrt(405) + sqrt(405) + -2*sqrt(405))\/(sqrt(27)\/(1*sqrt(3)))) + 3.\nAnswer: -3*sqrt(5) + 459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 52132?\nAnswer: -1\/13033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -z - 1. Let f be z*(-6)\/(-45)*-5. Solve -5 = -5*h + 2*k + 14, 3*k - f = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2813.03000732 - -2812.761. Let y = v - -0.269. Round y to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3323745.\nAnswer: 3, 5, 233, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3 - 1)*(-178)\/36. Let a = -86\/9 - u. Determine y, given that 0 + y**2 - 1\/3*y**3 - y**4 - a*y**5 + 2\/3*y = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = -5*p - 8, -15*y + 20*y - 9*y = 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(1\/2))**31*((b\/((b*b\/(b**(2\/3)\/b))\/b))\/b)**12)**48)**48 assuming b is positive.\nAnswer: b**(-1152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*n - 35*n + 14*n + 7*n)*(-4*n**2 - 2*n**2 - 4*n**2).\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3, y: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5, -779, -2.\nAnswer: -779, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 38, -5, -2, 129, 1280 in increasing order.\nAnswer: -5, -2, 38, 129, 1280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g + 2*g - 12*g)*(25530*g - 359*g**2 - 25530*g)*(-3 - 4 + 5).\nAnswer: -6462*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 3*t - 5. Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 281057 is divided by 335.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 14*n + 24. Determine z(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 8 = d, -4*p = -2*d - 2*d + 20. Suppose d*a - 5 = -1. Find the third derivative of -3*q**a - 18*q**6 + 13*q**6 - q**2 wrt q.\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-3*(3 + sqrt(68) + sqrt(68))*4*2 + 2)*-3*2)**2.\nAnswer: 7741440*sqrt(17) + 93065472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 837, 743, 519, 99, -583, -1593?\n\"Answer: -11*j**3 + j**2 - 20*j + 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lhhehlceeeh. What is prob of sequence cel?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1.3  (b) -87  (c) -0.0172\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 21*v + 201. Is w(20) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 661800 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 44\/2*(-21)\/7. Is (-29788)\/p*(-6)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 212346.577 to the nearest 100.\nAnswer: 212300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-31)\/b**(18\/11)*(b**3)**(-10) assuming b is positive.\nAnswer: b**(-689\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -2 + (-1 + 3*(0 + sqrt(1300) + 1 + 4 + (sqrt(1300) - (sqrt(1300) - (sqrt(1300) + sqrt(1300)*-1 + -1)))))**2.\nAnswer: 660*sqrt(13) + 11815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 348482.3 weeks?\nAnswer: 210762095040000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:11 AM and 1:00 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 18\/3*1 + -3. Solve 0*s - z*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*z - 577 = 215. Which is greater: 43 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**2 + 60*p + 323. What is the remainder when q(51) is divided by 99?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -6*l - 4*l + 10*l**2 - 3 + 10*l - 2. Let g(y) = y**2 - 1. Calculate -6*g(u) + v(u).\nAnswer: 4*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3675\/22 + 167. Let t = 6\/11 + q. Is t at most 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -1. Let o be (-2)\/t + (-159)\/(-2). What is the greatest common factor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/(-9)*(25\/(-2) + 5). Let z(w) be the second derivative of w**5\/20 + 5*w**4\/12 + w**3\/6 + 3*w**2\/2 + 4*w. Calculate z(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y - y + y)*(3*y - 4*y - y) + y - y**2 - y.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/12, 0.11, -0.19?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 173 a factor of 67460522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -34 by 11038.\nAnswer: -17\/5519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2323 - 2328. Which is the nearest to 1?  (a) z  (b) -0.1  (c) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.6759 + 1.98. What is y rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 2*c**3 + 3*c**2 - 11*c + 4. Let d = -404 - -401. Let t be b(d). Suppose -3*m = m - 400. What is the highest common divisor of m and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -1, 16, -18614, 3 in descending order.\nAnswer: 16, 3, -0.1, -1, -18614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 52f9 + -eb73?\nAnswer: -987a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 56 - 29. Suppose i + 3*t = -16, i + 34 = 2*t + t. Let g be ((-45)\/i)\/(2\/10). What is the highest common factor of g and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.11?  (a) 4  (b) -420  (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 21772358 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -3*w**3 - w**2 - 3*w - 2. What is the units digit of n(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**2. Let o(p) be the first derivative of 2*p**3\/3 + 94*p - 136. What is o(x(s))?\nAnswer: 2*s**4 + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = -2*x - 3*m - 61, 0 = -4*x - 5*m - 176. Is 26 a factor of 4013\/11 + x\/(-242)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -967 and -967 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*z**4\/21 + 118*z**3\/21 + 346*z**2\/21 + 170*z\/21 - 22\/7 = 0 for z.\nAnswer: -11, -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 490 - 34 = 57*v. Solve -48 = -8*y - v*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38 + (7 - 1) + -4 is divided by ((-28)\/3)\/(4\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -163*n**3 + 65*n**3 - 22 - 17 + 83*n**3 with respect to n.\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 50, -4, 16?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*d + 33*d = -40*d. Let h(t) be the third derivative of d*t**4 - 1\/300*t**5 + 0*t**3 + 19*t**2 + 0*t + 1\/600*t**6 + 0. Factor h(q).\nAnswer: q**2*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 6 = 0, y - 6*y + 300 = 5*f. Let a = 12359 - 12019. What is the remainder when a is divided by f?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**4 - d**3 - d**2. Let p(c) = -4*c**4 + 2*c**3 + 2*c**2 - c - 25. Let h(a) = -2*j(a) - p(a). What is the first derivative of h(g) wrt g?\nAnswer: 24*g**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 3*d**2 - 4. Let g(q) = 21 - q + q - 16*q**2. Let i(n) = -n - 6. Let h be i(-4). Let t(u) = h*g(u) - 11*p(u). Find the first derivative of t(k) wrt k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 0 + (-17 - -20) + -11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 3*o**3 + 2*o**2 + 8*o. Suppose 123*l + 675 = 48*l. Let s(y) be the first derivative of 13*y**4\/4 + 3*y**3 + 33*y**2\/2 + 5. What is l*i(d) + 2*s(d)?\nAnswer: -d**3 - 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-154)\/(-21))\/((-2)\/(-30)) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 + 3*z**3 + 20*z**3 - 26*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 198 + 11 = 19*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11\/4)\/((-588)\/(-4704)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 77778 - 15505. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = l - 6. Suppose 28*s - 26*s = -184. Let x = -93 - s. Is l at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jeii when four letters picked without replacement from ejijjij.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -h - 2. Let i be h\/(15\/(-18)) + -2. Solve l + i = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -107 + -19 - (-160 + 89).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 13  (b) -1  (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1b23b5 (base 13) to base 12.\nAnswer: 293729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*n = -8*n - 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:45 PM and 4:55 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum 6269085 and 0.073.\nAnswer: 6269085.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:35 AM and 9:23 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4584\/16)\/((-9)\/(-12)) - 5. Let p = 1217 - h. Is p a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -38 by -19.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**3 - 27*q**2 + 36*q + 34. What is d(-28)?\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -1. Let v(q) = -q + 13. Let i(l) = 2*l**2 + 2*l - 2. Let t be i(1). Let n(j) = t*m(j) + v(j). Calculate n(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-22*2\/638)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 31964114899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1577 - -4?\nAnswer: -1573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 775 a factor of 85194494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 81507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -14  (b) -4\/5  (c) -2\/15  (d) 0.4  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 29355 or 29350?\nAnswer: 29355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*m + 4*m + 40. Calculate the lowest common multiple of m and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -50939*s - 682. Let v(y) = 10188*y + 124. What is 11*v(l) + 2*x(l)?\nAnswer: 10190*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/29  (b) -0.5  (c) 4\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 64748 + 23783. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 829 + 8585. Let r be x + -1 + 3\/1. Let h = -1207 - r. What is h rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 27 = -15. Suppose 67 = 6*v - 149. Suppose 59 = g - v. What is the least common multiple of t and g?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -2*v**3\/23 + 905170*v**2\/23 - 7241264*v\/23 + 14482464\/23 = 0.\nAnswer: 4, 452577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 5*o - 15 = 4*f, -6 = 2*f + 2*o. Suppose -k - 5*n - 14 = -3*k, -3*k - 3*n = 0. Suppose f = -k*q + 7*q - 235. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - -1011111010001011?\nAnswer: 1011111010001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.7 - 2.70072. What is k rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o + 3. Let h be k(2). Suppose -2*q + h*q - 10 = 0. What is the units digit of -8 + q + 2 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*y - 36 = 72 - 9. Solve -y*g - 4*i = -4, g + 2 = -10*i + 7*i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**2 - 2180*i + 6. Let t(l) = -2*l. Give t(m(v)).\nAnswer: -4*v**2 + 4360*v - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -593086049174.3+0.2\nAnswer: -593086049174.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -v + 5*v + v + (v + 1 - 1)*(70 - 26 + 10) to the form d + n*v and give n.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 + -2. Suppose y = 7, 2*y = -5*m - 3*y + 55. What is the closest to b in 0.03, -3, m?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8742 and 7332?\nAnswer: 227292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-10)*0\/(17 + -53).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -878010*2\nAnswer: -1756020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 711 - 9 = 0. Suppose 0 = 4*m - 536 + s. Let y = m - 58. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -51*s - 5450. What is the remainder when j(-124) is divided by 411?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 + 17*v**2 - 8866*v + 433. Calculate d(86).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2\/1440265?\nAnswer: 2\/1440265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3254.67 * 9.1\nAnswer: 29617.497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 460 and 216?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 3)*(122*u + 2436*u - 327*u).\nAnswer: 2231*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-299)\/(-184)*1248\/(-156)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 93289350.7 to the nearest ten thousand.\nAnswer: 93290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2\/15 + 4\/5. Put n, -2, -4, 0.04 in descending order.\nAnswer: n, 0.04, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15357 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.12 and 394637164643.84?\nAnswer: 394637164643.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 7\/2  (b) 4  (c) 5  (d) 0.27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2299) - (-3 + sqrt(2299) + -2)) + (sqrt(2299) - (-1 + sqrt(2299))**2*-3).\nAnswer: -55*sqrt(19) + 6905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times -312?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7999 rounded to three dps?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -26 + 26. Suppose y = -x - 3*x - 4*j + 496, -4*j = -3*x + 386. Let l = x + -7. Calculate the greatest common divisor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3, 16, 12, 85 in ascending order.\nAnswer: -3, 5, 12, 16, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19*-2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5420461.\nAnswer: 109, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -203*z - 24. Let o be r(-8). Suppose -l = 5*w + o, 1279 = -4*w + l - 2*l. Let v = w + 454. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 37 - 30. Suppose m*t = -5*t + 36. Suppose -5*y = -2*y - u - 252, -t*u = 2*y - 168. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -143, -258, -393, -560, -771, -1038, -1373, -1788?\n\"Answer: -2*f**3 + 2*f**2 - 107*f - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.05356 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2063202 divided by 1031601\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 149412, 149415, 149418, 149421?\n\"Answer: 3*k + 149409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -4605, -36821, -124255, -294513, -575201, -993925, -1578291, -2355905?\n\"Answer: -4601*c**3 - 3*c**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8\/6*(7 - 4). Suppose -128 = -4*h + 2*c, -a*h + 0*c = 3*c - 108. Let d = h + -18. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -17*n**3\/2 + 49*n**2\/2 + 37*n + 4.\nAnswer: -(n - 4)*(n + 1)*(17*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 158303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 39454153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 111 = 2*r, -2*f - 3*r + 53 = -21. Let g(d) = -f - 38 - 2*d + 75. Let x(s) = -1065 + 2*s**2 + 1065. Determine g(x(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 761, 6465, 21997, 52253, 102129, 176521, 280325?\n\"Answer: 816*o**3 + 18*o**2 - 62*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes before 6:20 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 2*x**5\/9 - 28*x**4\/9 + 26*x**3\/3 + 52*x**2\/9 - 344*x\/9 + 80\/3 = 0.\nAnswer: -2, 1, 2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -20.8 + 15.8. What is the nearest to -0.2 in h, -2\/27, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*h + 25 = -36*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 42461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 286913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 163\/149370 and 67\/715?\nAnswer: 1643070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes before 3:05 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5032 and 18056?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12*((-2)\/3 + 0). Let v(j) = j**2 + 9*j + 8. Let m be v(g). Suppose -1\/3*z**4 + 2\/3*z**2 + m*z**3 + 0*z - 1\/3 = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14 - 9. Solve -2*b = -c - r - 10, 3*b - 10 = -c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j - 2*j + j)*((2 - 2 + 1)*(2*j + j - 4*j) - 25 - 6*j + 25).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*k**3 + 96555*k**2 - 289700*k + 193140.\nAnswer: 5*(k - 2)*(k - 1)*(k + 19314)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.91 - -0.09. Let n = -86 - -86. Which is the closest to n?  (a) -0.3  (b) -8  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 PM and 3:09 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23718?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/7 or 365683302?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the second derivative of -i**6\/40 - 9*i**5\/16 - 39*i**4\/16 - 37*i**3\/8 - 9*i**2\/2 + 3*i + 15. Factor o(p).\nAnswer: -3*(p + 1)**3*(p + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -35*n**4 + 986*n**3 - 948*n**3 + 1294*n**2 + 36*n**4 wrt n?\nAnswer: 24*n + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2*a**2 - 3*a. Let s = -17 + 21. Let b(k) = -2*k**2 + 3*k. Let r(i) = s*w(i) + 5*b(i). Let f be r(2). Does 1 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20.55 - 21.55. Is -434 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(0 + -1*(sqrt(72) - -1*sqrt(72)*-4)))**2.\nAnswer: 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1205*t + 34517 + 12478 = 0 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4 - (-2 - 2))\/(-2). Suppose -5*c + 57 + 83 = k. Let d be (0 - -5)*c\/35. Solve -d*q - 10 = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes after 4:05 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 1241163.6 months?\nAnswer: 103.4303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 PM and 9:02 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of s*u**4 + 4*s*u**2 - 81*s*u - u**4 - 7*u**3 wrt u.\nAnswer: 24*s*u - 24*u - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -74 - (-189 + 143) - -60.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-157317)\/(-8953)*21\/(-9).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 greater than or equal to 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(((sqrt(190) - (sqrt(190) + (sqrt(190) - (sqrt(190) - (sqrt(190)*1 - sqrt(190)))))*-2)\/(-6*sqrt(40)\/sqrt(4)))**2 - 4*2*(sqrt(114)*-5)\/sqrt(6)).\nAnswer: 19\/2 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 32 - 3950?\nAnswer: -3919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes after 3:13 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 444*j**2 - 2*j**3 - 2*j**3 - 444*j**2.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 540801 is divided by 1446.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.621  (b) -2  (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.017 != -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from yyzszzz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q**(-7\/5)*q))\/q)\/((q\/q**(-4\/3)*q)\/q) assuming q is positive.\nAnswer: q**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, h: 4, x: 5}. Give prob of sequence vhhx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -11. Let k be (1 + (-12)\/9)*-15. Suppose 3*z - 4*x - 6 = 0, z + 4 = k*z - 4*x. Is z less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -122 + 1097\/9. Let d = 1\/27 - -23\/108. Which is the closest to d?  (a) w  (b) 3\/7  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand u + 0*u**2 - u**2 - 3*u + (-3*u + u - 2*u)*(0*u + 0*u - u).\nAnswer: 3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 16\/104 - 74\/(-26). Suppose 81 = k*y + 24. Factor -y*l**2 - 11*l**2 - 12*l**3 + 6 + 15*l**5 - 2*l + 11*l**4 + 13*l**4 - l.\nAnswer: 3*(l - 1)*(l + 1)**3*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y + 4, -4*d + 128 - 24 = y. Let r = 15301 + -15275. Is r >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) - (sqrt(25)*-1 - sqrt(25))\/sqrt(5)) + sqrt(60)\/sqrt(3).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 18*t + 27. Is w(9) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35530972901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 615 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.25 + 0.3. Let i be 4\/32*-25 - -3 - 0. Put 0.5, i, m in decreasing order.\nAnswer: 0.5, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -27128121.8 to the nearest one hundred thousand.\nAnswer: -27100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the third derivative of 3*q**2 + 0*q**4 + 0*q**3 + 0 + 0*q - 1\/30*q**5. Let a(k) = 4*k**2. Give a(i(x)).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 180430 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: Let d = 0.03 + -0.63. Let x = d + -3.4. Let v = 3.992 + x. Round v to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(0 + sqrt(32) + sqrt(2) - sqrt(4)\/sqrt(32) - -6*-2*(sqrt(2) + 2))*-3 + -4)**2 + -3.\nAnswer: 12180*sqrt(2) + 46763\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14469.1 - 14469. Which is the nearest to x?  (a) -101.2  (b) 0  (c) -5  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*u**4*x**2 - 3*u**2*x**2 - 225*u**2 - 30*u*x**2 - 16*u - 11*x**2 wrt u?\nAnswer: 60*u**2*x**2 - 6*x**2 - 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -741 divided by -67094.\nAnswer: 741\/67094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 823 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 91.53627ml?\nAnswer: 0.09153627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4080*r + 4085*r - 45. Which is greater: r or 134\/13?\nAnswer: 134\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - -1. Suppose -3*i - 20 = -8*i - 5*c, 2*i + 4*c = h. What is the units digit of i - ((-1)\/1 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**2 - 3*a - 4. Determine i(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and -3052.9.\nAnswer: 1221.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 5*u - 9. Suppose -2*p = 3*f - 5*f - 2, -3*p = -4*f - 1. What is the third derivative of -21*l**u - l**3 - 8*l**4 - 20*l**f + 2*l**3 wrt l?\nAnswer: -192*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*a - 4*a + 32 = 4*j, 0 = -5*j - 4*a - 5. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/((p\/(p*(p*p\/(p\/(p*p*(p**(-14)*p)\/p*p))*p)\/p*p))\/p)))\/(p\/(p*(p*p**14)\/p))*(p*p**(1\/13)\/p)\/((p\/p**(-14)*p)\/p) assuming p is positive.\nAnswer: p**(92\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 11998 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 926173.\nAnswer: 29, 109, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 154*q - 157*q = 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -9 and -0.474015?\nAnswer: 4.266135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 280543595?\nAnswer: 5, 1451, 38669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6031407547 to the power of 1\/2, to the nearest integer?\nAnswer: 77662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1971199 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -79*z**6 - 22*z**2 + 251*z**5 + 1 - 251*z**5 wrt z?\nAnswer: -9480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-26)\/(-4)*1)\/(((-411)\/(-5069))\/(21\/518))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/9 of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/3, -0.2, 473, 18, -9\/4, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 2*h + 50. Determine q(-14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -57.4 + 10.4. Let g = p - -41. Suppose 5*j + 3 = 8*j. What is the nearest to 1 in j, 2, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 2*w**2. Suppose 2 = -i + 1. Let c be i*(-1 + 2)*(29 - 31). Let v(j) = 44*j + 3*j - 2*j**c - 3*j - 16*j. What is z(v(g))?\nAnswer: 8*g**4 - 224*g**3 + 1568*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/1710 and -89\/424422.\nAnswer: 2122110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 141829 is divided by 70909?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, -14, 1.\nAnswer: -14, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77 = 5*b - 4*b - 3*k, -b - 5*k = -109. Suppose -12 = c - b. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b + 12. Let n be ((-15)\/5)\/(6\/10). Let g be q(n). Find the first derivative of -17 + g*v**3 + 1617*v**2 - 1617*v**2 wrt v.\nAnswer: 51*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 265 divide 73847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4525171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 11657448 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.07 + 3.57. Let s = 7.5 - t. What is the smallest value in -2\/5, 0.1, -5, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -6*l + 1. Let r be b(-4). Let w = 137 - r. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -27.376 + 29.376. Let t be (-2)\/(-9) - (-91176)\/378. Let w = 241 - t. Which is the fourth smallest value?  (a) -0.06  (b) -4\/7  (c) w  (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = 2*l - 513. Find the third derivative of l*s**2 - 9*s**2 + 36*s**2 - 233*s**5 wrt s.\nAnswer: -13980*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12878 and 1034.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 5 + 7. Suppose -18 = x*z + 194. Let u = -9 - z. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -31*b - 282 + 220. What is the third biggest value in -17, 44, b?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 51 = 2*f + 2*f, 2*f + 5*q + 7 = 0. Is (-6)\/f - 149\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -585 + 997. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 2*b = 18, -3*b - 6 = -2*k + 12. Suppose k*h = 5*h. Suppose -6*r + h*r + 72 = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/(22 + -10) + 106\/4. Calculate the greatest common factor of j and 2979.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-31 + 21)\/(((-45)\/(-12))\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 7835967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (348\/2436)\/((-16)\/14). Sort 0.08, j, 195, 2\/11 in descending order.\nAnswer: 195, 2\/11, 0.08, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, b: 2, q: 7}. What is prob of picking 2 n?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 - 2) + (-48)\/(-26). Let r = 6 + -3. Sort t, -5, r in descending order.\nAnswer: r, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1079.62 and 21380368.\nAnswer: 21381447.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve h = 4*o - 16, 125 = -2*o - 4*h + 115 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -19230 divided by -6410\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -123\/50 and 61\/5?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + -10111011100011?\nAnswer: -10111011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1425044, -5700140, -12825284, -22800464, -35625668, -51300884?\nAnswer: -69826100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2402 (base 5) to base 9\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the first derivative of 7 - 7\/3*v**2 - 55\/18*v**3 + 59\/30*v**5 - 2\/3*v - 7\/24*v**4 + 35\/36*v**6. What is u in r(u) = 0?\nAnswer: -1, -2\/5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 91 + -32. Suppose 113 = 9*v + b. Calculate the least common multiple of v and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/10 and (413\/(-14) - -16)\/96?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*f**2 + 0*f**2 + 129*f**3 + 47*f**3.\nAnswer: 176*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 224 = -v - 279. Let g = v + 507. Solve 0 = d + n - g, -5*n - 10 + 0 = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 833 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 0*y + 252 = 0. What is the highest common factor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a**2 - 6*a**2 + 3*a**2 + (2*a**2 + 2*a - 2*a)*(-1 - 1 + 0))*(13*a - 17*a - 32*a).\nAnswer: 216*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*w - 46*w = 10. Let j(a) = -2*a + 6. Let h be j(5). Put -6, h, w in increasing order.\nAnswer: -6, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -2\/3  (b) -255  (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = -3*c + 34, 0 = -11*a + 14*a - 6*c + 33 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 38325 + -22124. List the prime factors of i.\nAnswer: 17, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * -25.01.\nAnswer: -50.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55115338?\nAnswer: 2, 27557669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -411*u**3 + 255*u - 425*u**3 + 201*u**3 wrt u?\nAnswer: -3810*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 5 = -2. Let x = i + 2. Suppose -9 = 5*l - 39. Solve x*t = -3 - l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes after 9:04 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 3*c = -28, 57*n + 36*n - 296 = 24*n - 5*c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 - 9*i**2. Let y be n(-9). Suppose y = 4*m - 12, w - 4*m = -0*w - 13. Let t(k) = -15*k. Is t(w) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 326244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 13.21 times -0.5\nAnswer: -6.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 3031*x**2 - 16*x + 3017*x**2 - 6081*x**2 in the form z*x + j*x**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1186\/8 + 6\/8. Suppose 2*g - 89 = i, -17 + h = 3*g - 3*i. Is (6\/4)\/(g\/5340) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of ((-316)\/6)\/((220\/(-1170))\/11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -22\/22861 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (10\/(-5))\/((-4)\/30). Let i(v) = v**2 - 2*v - 2. Let j(t) = -3*t**2 + 5*t + 5. Let f(l) = p*i(l) + 6*j(l). Let g(m) = 6*m. Calculate g(f(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 124*r = 117*r - 7260. Solve -5*h - r*z + 26*z = -4, 4*z = -16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-2 + (sqrt(425) - (1 + sqrt(425) + -2))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 33*f**2*l - 49*l + 2 wrt f?\nAnswer: 66*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4.5 + -4. Sort 5, -1, 0.2, o in ascending order.\nAnswer: -1, 0.2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1217, -1248, -1311, -1418, -1581, -1812?\nAnswer: -2123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 464036.\nAnswer: 2, 116009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-51)\/(-75) + -1 + (-88)\/55 + 2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-7) - (0 - (-19352)\/574).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Do -176 and -1773\/10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 814*f - 19080 = 1344*f for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 22*a*g + 64*a - 1279*g wrt a.\nAnswer: 22*g + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 10639.88 millennia?\nAnswer: 127678560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3d + -531e?\nAnswer: -535c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -984 = -2*q - 4*h, 0 = -h + 3 - 4. Suppose 82 = 3*m - q. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 270822?\nAnswer: 2, 3, 45137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -18998, -24070, -32524, -44360?\n\"Answer: -1691*i**2 + i - 17308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4090 - -4133.396. Let l = 8.3855 - i. Let k = l + 35. Round k to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2430166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, 2, 1\/13, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 973080 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 283402 is divided by 122.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the second derivative of q**8\/4480 - q**7\/560 + q**6\/240 + 5*q**4\/12 - q. Let a(p) be the third derivative of w(p). Find j, given that a(j) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1 and 1331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2927 and 0.51.\nAnswer: -1492.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**3 + 7*o**2 - 6*o - 2. Let z(q) = -7*q**3 - q**2 + q + 1. Let r be z(-1). Let k be p(r). Is 12 a factor of k\/8 - 435\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**2 - 81*f - 1048. Determine p(93).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -15.4, 0, 6, -89, -8, 2 in descending order.\nAnswer: 6, 2, 0, -8, -15.4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4.8 + 5. Let s = p + -0.3. What is the closest to 0.1 in 0, s, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*u - 2310 = -25*u. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = -4*q + 18, 0 = -992*q + 987*q - 2*i + 22 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**4 - 16*o**3 - 48*o**2.\nAnswer: 4*o**2*(o - 6)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*w**3 - 2*w**3 - 11 + 0*w**3.\nAnswer: -2*w**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 15, f + 4*a - 3*a - 24 = 0. Solve -2*o + 7*d - f = 2*d, 0 = -o - 5*d + 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from aaaaaaaaaaaaamaaaaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/(-2) - (-18)\/4. Suppose -d*h + 0*h + 30 = 3*u, -2*u + 13 = h. Suppose -2 = z + w - h, -2*z = 3*w - 5. Which is bigger: -4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 + 7 = -6*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2529 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2630985315 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -29*q - 35*q + 12*q**2 - 227*q + 24*q**2 + 23*q in the form b + z*q + g*q**2 and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 21 - 1168*b**3 - 120 - 105 + 226 with respect to b.\nAnswer: -3504*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7260.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*-4*7\/12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.016 + 68.984. Let u = -69.000006 + m. What is u rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 5*u + 1. Suppose 4*n = -2*i, -u*i + 4*n = -n + 9. Let j be (7 + i)*(-1 + 2). Solve -x - 16 = 3*x, 0 = 4*q - j*x - 40 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 4*n**5 + 7*n**4 + 37*n**3 + 4*n**2 - 5*n. Let y(i) = -3*i**5 - 7*i**4 - 33*i**3 - 5*i**2 + 4*i. Let m(k) = 4*a(k) + 5*y(k). Factor m(g).\nAnswer: g**2*(g - 9)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the second derivative of 2*j**3 - 2*j**2 + 2*j. Let h be q(4). Suppose -2*i - h = -6*i. Calculate the smallest common multiple of 5 and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -14396 < -0.272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 9) to base 15\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (25\/15*36\/20)\/((-102)\/(-4))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100001100 (base 2) in base 14?\nAnswer: 3da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -41448.27296 to zero dps.\nAnswer: -41448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggoocoo. Give prob of sequence gcg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9491051 millennia in months?\nAnswer: 11389.2612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 206 divide 264298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 2 w when four letters picked without replacement from vcvvxzvcvwvxxxvxwxxc?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 + 0.33. Let w = 1.13 - t. Let a = w - -0.1. Sort -2, a, -0.1 in ascending order.\nAnswer: -2, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21126 divided by 21126?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*o**3 + 1476*o**4 + 1484*o**4 - 2959*o**4 + 2 - 2*o - 10*o**2 to the form b*o + j*o**2 + u + m*o**3 + i*o**4 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 - 96*l**2 - 631*l - 37. Give j(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times 3359.26991?\nAnswer: 1679.634955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 246 and 113242.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 425939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -2616983 at least -2616968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 15) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 2*q - 3*s - 21, s + 31 = 3*q. Let p(w) = w**2 - 6*w + 7. List the prime factors of p(q).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -373250 (base 8) in base 13?\nAnswer: -46756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5 and -0.028518921545?\nAnswer: 4.971481078455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-37 - -28) + (14 - -7) - -43.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a kilometer in meters?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 164760 divided by -27460\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29005756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8899 and -3.\nAnswer: 26697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of 0*s**3 + 0*s**4 + 2\/5*s**5 + 86 + 35*s - 53\/2*s**2. Differentiate z(k) with respect to k.\nAnswer: 8*k**3 - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l = -0*l + 21. Let x be -2 + -2 - (-5 + l). Find the second derivative of -h + 6*h**3 + x*h - 5*h wrt h.\nAnswer: 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes after 6:22 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4482122 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 960, 1908, 2858, 3810, 4764, 5720?\n\"Answer: p**2 + 945*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2121 = -6*p + 2139 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 290 and 725.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 83*p**2 + 305*p**2 - 394*p**2. Let w(g) be the third derivative of -g**4\/24 + 6*g**2. Determine w(i(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 1 = -3, -4*x + 96 = -4*c. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q - 8 = 32. Factor q*t**3 + 10*t - 75*t**2 + 231*t**2 - 40 - 64*t**2 - 67*t**2.\nAnswer: 5*(t - 1)*(t + 2)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.051 - 0.449. Sort 0, d, -2\/17 in decreasing order.\nAnswer: 0, -2\/17, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-279)\/(-39) + (-12)\/78. Let l(q) = -q**3 + 8*q**2 - 9*q - 6. Let u be l(c). Let s = u - -41. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2687854 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from ymyimiyiyyyy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 20871617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2991, -5981, -8971, -11961, -14951?\nAnswer: -17941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3 + ((-9)\/12)\/(2\/8). Let h(k) = -k**2 + k + 4. Let c be h(2). Suppose 16 = c*u + 4*y, 39 = 4*u + y - z*y. Solve -2*s = -0*s - u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 6*k**3 - 3 + 2*k - 19*k + 6*k + 8*k. Let q(x) = 12*x**3 - 7*x - 7. Let s(m) = m**3 + 6*m**2 - 2*m - 5. Let u be s(-6). What is u*g(o) - 3*q(o)?\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*h**2 + 655*h - 655*h + (-2 - 1 + 1)*(3 - 3 - 3 - 4 + 1 + 1 + (3 - 1 + 0)*(1 + 0 - 2) + 0 + 2 + 0)*(2*h**2 - h**2 - 2*h**2).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5\/116, -0.02, 0.3, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from affr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 - 4\/(-8)*-4. Suppose r - 12 = 4*g - 33, 0 = -g + 4*r + 24. Let k = -1 - -3. Put k, y, g in descending order.\nAnswer: g, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (21 - 21 + 3*v)*(3*v**2 - 2*v**2 - 9*v**2) as r*v + x*v**3 + l + g*v**2 and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-44)\/132*18\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 279 - 27. Let v = 77 - 111. Calculate the common denominator of v and (20\/1414)\/(12\/p).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -692\/9 - -77. Which is the nearest to -2?  (a) u  (b) -3  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(26)\/sqrt(2450) + -2.\nAnswer: -2 + sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 23*b - 1 + 0 to l + t*b and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3423.186 + -2.814. Let q = v - -3426.0002521. Round q to 5 decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/14354 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 625089*w**3 + 10*w + 63549827 wrt w?\nAnswer: 1875267*w**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of 4*b**3\/3 + 113. Let k(f) be the first derivative of 3*f**2 - 5. Calculate k(v(x)).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/2, 2, -2\/137, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*l**2 - 197*l**3 + 66*l**3 + 4*l**2.\nAnswer: -131*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 28 = 3*y - 5*g, 5*y - 2*g = 5. Suppose -9*r + 4*r = -2*b - 118, -y*r = -4*b - 82. What is the remainder when 108 is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1661553.6 to the nearest 1000.\nAnswer: -1662000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 366361274?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x + 8. Let g be h(4). Suppose 0 = 2*t - g. Find the third derivative of 2*c**t - 2*c**3 + 4*c**3 - 4*c**2 wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 1 + 3*f + f**2 + 3 + 4*f. Suppose 7*r - 6 = 9*r. Give v(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1362)\/2724)\/(17\/5*3\/6)?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 240156.18 seconds to hours.\nAnswer: 66.71005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -13 - ((18 - 39) + (5 - -11)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*p**3 - 60*p**2 + 31*p - 48680 wrt p.\nAnswer: 9*p**2 - 120*p + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1700360 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z**2\/7 - 150*z\/7 - 1875\/7 = 0. Calculate z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 309 and 4017.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the second derivative of n**3\/6 + 3*n**2\/2 - n. Let w be p(-3). Suppose 0 = c + b - 19, 4*b + 36 = 3*c - w*b. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**3 - 22*o**2 - 23*o + 16. Let j be i(24). Let z(h) = -8*h**3 + h**2 + h + 1. Let d be z(-1). Suppose -d*s + j = -2*s. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 4*v + 116 = 0, 3*h = -2*v + 5*v + 288. Calculate the greatest common factor of h and 3550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 - 2*b**2 - b + 1. Let s(o) = -o**3 - 6*o**2 + o + 4. Let a(l) = -s(l) + 2*z(l). Let p(f) = 2*f**2 - 2*f - 2. Calculate -2*a(h) + 3*p(h).\nAnswer: 2*h**3 + 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 1. Suppose d = -3*j - 5 + 44. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -4*c + 654, 0*z - 5*z = 5*c - 780. Suppose 4*v + 174 = 3*s - 498, v + c = -s. Let n = 890 - v. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -22 + (53 - -14 - 39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*k - 49 + 1 = 0. Let i(f) = 60632*f**3 - 9*f**2 + 7*f - 4. Let a be i(k). What is a rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 309 - 306. Solve -4*u = -3*m + l, 3*u = -5*m + 31 + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 2*d = 17, 0 = -0*d - 4*d - 16. Solve -2*l = -j*p + 4, 5*l + 24 = -2*p + l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4433 and 96?\nAnswer: 425568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 287213979?\nAnswer: 3, 13, 41, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31 + 132*l - 32 + 1 to the form g + j*l and give j.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1422\/474*84\/(-9)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3\/4  (b) 1\/5  (c) 1\/2  (d) 1  (e) 0.29  (f) -0.2  (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 4*p + 13. Let f be t(-4). Sort 14, f, 3\/7, 0.5 in descending order.\nAnswer: 14, 0.5, 3\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 5*(1*sqrt(1900)*3 + 4).\nAnswer: 19 + 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - ((-1 - (-8 - -1)) + -1 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of s**4\/12 - 9*s + 2. Let x(d) = d + 1. Let a(j) = 8*j + 6. Let o(u) = a(u) - 6*x(u). Calculate o(g(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 21041 (base 5) to base 6\nAnswer: 10244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 4*d**2 - 52*d + 88. Let v be a(2). Let w be 2\/5 + (-174)\/10. Sort v, 1, 3, w in decreasing order.\nAnswer: 3, 1, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (f**2 + 1 - 1)*(-5665*f - 2046*f + 1204*f) as m*f**2 + c*f + y*f**3 + s and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 3*m - 44 = -5*g, -g + m = -7. Suppose -4*a + 2*x = 96, -10 = a - 0*x - 4*x. Let r be ((-13)\/a)\/(g\/(-4)). What is the smallest value in -3, r, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-56)\/16 - (-1)\/2. Put c, -5, -1, 12 in ascending order.\nAnswer: -5, c, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -269*m + 622*m - 17536 = 79*m for m.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -60.2788384 to 2 dps.\nAnswer: -60.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.5906907ng?\nAnswer: 0.0000000000005906907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**2. Let k(r) = -4*r**2. Let c(n) be the third derivative of -n**5\/15 + 5*n**2. Let q(p) = 8*c(p) - 6*k(p). Determine q(i(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 9 = 11. Solve -o + 4*g + s = -g, 0 = 2*g + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-330)\/77)\/(-5) - (-3)\/(-21)*-2507?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -50088, -50262, -50560, -50988, -51552, -52258, -53112?\nAnswer: -54120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7094?  (a) 2  (b) -10  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**2 + 191*t - 3741. Let d be j(18). Let n(k) = 37*k - 1. Let l be n(4). Calculate the greatest common divisor of l and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of 2*z**6\/75 - 3*z**5\/25 + z**4\/5 - 2*z**3\/15 + 57*z - 22. Let c(o) be the first derivative of b(o). Factor c(s).\nAnswer: 4*s*(s - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1590 divided by -318\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 771 divide 1125309180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-9)\/(((d*d\/(d\/d**(4\/3)))\/d)\/d))\/((d\/(d*d*d**(-2\/69)*d)*d)\/(d\/d**(-16\/3))) assuming d is positive.\nAnswer: d**(-140\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*b - 1 + 6*b + 10*b)*(1 + b**4 - 1).\nAnswer: 7*b**5 - b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y - y - 3*y)*(103*y**3 - 313*y**2 + 313*y**2)*(-1 + 2*y + 1).\nAnswer: -618*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 653\/3 - 5219\/24. Let a(x) be the third derivative of -19*x**2 + 0*x + z*x**4 - 1\/2*x**3 + 0 - 1\/15*x**5. Determine a(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-3))\/((190\/60)\/19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 3*n = -5*x + 40, 2*n - 31 = -5*x. Let r(b) = 3*b - 4. What are the prime factors of r(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 11018 = 3*h, 0 = 17*j - 20*j - h + 6614. What are the prime factors of j?\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2157 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1182645 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the third derivative of s**6\/120 + s**5\/10 + s**4\/8 + s**3\/6 + 111*s**2. Let f(c) = -2*c**3 - 6*c**2 - 4*c - 2. Give 3*f(r) + 4*x(r).\nAnswer: -2*r**3 + 6*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.163 + -3.837. Put 2\/5, -15, q, -0.1 in descending order.\nAnswer: 2\/5, -0.1, q, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31745912 divided by -7936478\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(14\/12 + -1). Let f(p) = -27*p - 21. Does 13 divide f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 251c3b (base 16) to base 6.\nAnswer: 124043311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*r = -11*r - 10. Suppose -r*v + 32 = -6*v + 4*c, -c = -2*v + 13. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 70934 + -70931. Suppose 0 - 2\/5*z**f - 12\/5*z**2 - 16\/5*z = 0. Calculate z.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 78*x**2 + 179*x + 359. Calculate s(-2).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001140618816 rounded to 7 dps?\nAnswer: -0.0011406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d + 10. Let z be v(-7). Let g(h) be the second derivative of 1\/4*h**4 + 2*h + 0 + 1\/6*h**z + 1\/2*h**2. Calculate g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -241413, -241385, -241359, -241335, -241313, -241293, -241275?\nAnswer: -241259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = k - 44. Let z(f) = -k*f + 11*f + 2*f**2. Let j(u) = 2*u + 2*u + 4*u + 0*u. Calculate j(z(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than -10\/207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1113, -1195, -1331, -1521?\n\"Answer: -27*a**2 - a - 1085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a**2\/2 + 297*a - 3348 = 0. Calculate a.\nAnswer: 12, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**3 + 3*j**2 + 3. Let c be p(-3). Suppose 0 = -c*d + 75 - 3. What is the greatest common factor of 36 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 5, -2\/13, 2\/67, -12\/31?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 + 17*x**2 - 6*x + 172. Let b be n(15). Solve -521*k = -b*k + 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(2*sqrt(180) - sqrt(180)))\/(sqrt(4) - -1*(sqrt(4) - (sqrt(4)*2 - sqrt(4)))))\/(sqrt(99)\/(sqrt(11)*3 + sqrt(11)) - sqrt(18)\/(sqrt(128) + sqrt(2))).\nAnswer: 216*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (166\/(-1245))\/(3\/15)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13b5 (base 12) to base 9.\nAnswer: -3132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25\/150*36\/(-16).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(180) - (1*sqrt(180)*1 - sqrt(180))) + sqrt(180)))\/(sqrt(324) + sqrt(324)*-2 - sqrt(225)*6).\nAnswer: 5*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p - 3*c = -12, 5*p - 10*p + c - 4 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 71567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 836321 - 298150. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29719325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 + 0)*(-3*j - 4*j + 4*j) + 98 - 14*j - 92 - 19*j.\nAnswer: -39*j + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the second derivative of 19*w + 31*w**2 + 0*w**3 - 35\/12*w**4 + 0. Differentiate s(i) with respect to i.\nAnswer: -70*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 5, c: 3, l: 5, x: 2}. Give prob of sequence xl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) - (sqrt(5) + -3 + -4)) + -1)**2 + (sqrt(1080)\/sqrt(3) + sqrt(10))\/sqrt(2).\nAnswer: 7*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10103025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (2 + 7 + -1 + -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 12\/5  (b) 1  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8412 divided by -30428.\nAnswer: 2103\/7607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3001, -3006, -3001, -2974, -2913, -2806, -2641?\nAnswer: -2406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -6*p**4 + 3*p**3 + 3*p + 2. Let u(x) = 13*x**4 - 7*x**3 - 7*x - 4. Let h(n) = 3*u(n) + 7*z(n). Differentiate h(q) wrt q.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2, 42, 180, 454, 906, 1578?\n\"Answer: 7*p**3 + 5*p**2 - 20*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**5 - 4*z**4 + 8*z**3 + 16*z**2.\nAnswer: -2*z**2*(z - 2)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1260*r + 511*r - 433*r)*(-3*r**2 + 2*r**2 + 2*r**2 + 2)*(-r + 3*r - 3*r).\nAnswer: -1338*r**4 - 2676*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ylllcylllycy. What is prob of sequence lcy?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -132 (base 6) to base 15.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 1537 = 2*j - 1865, 5117 = 3*j + 4*o. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0011 - -0.1011. What is the third smallest value in q, -2, -0.4, -140?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2142 or -4283\/2?\nAnswer: -2142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 36 = -2*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10 - (3 + 10) - 8\/(-1). Suppose -3*w + 6*o - 10*o = -2118, g*w - 2*o - 3556 = 0. List the prime factors of w.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1109*s - 1137*s + 2263*s.\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:12 PM and 1:04 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the second derivative of -m**6\/75 - m**5\/100 - 31*m. Find o such that s(o) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from pdptptpdddtd.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 9:04 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/11, 3\/7, 1, -0.5 in descending order.\nAnswer: 1, 3\/7, -3\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add 22214550682 and 2239.\nAnswer: 22214552921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 30183 - 17563. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:01 PM and 10:45 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 6708, 13365, 19976, 26541?\n\"Answer: -23*r**2 + 6726*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = a + 12, 0*a = 4*o + 2*a - 8. Suppose 0 = -3*c - o + 1. Let y = 76 - 73. Are c and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -658 divided by -2\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 197 + -97. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/55)\/(516\/(-3225))*(-8)\/10.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 43203, 86401, 129599, 172797, 215995?\n\"Answer: 43198*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 546 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 127*l - 295*l - 672. Sort l, 0.1, 1\/205.\nAnswer: l, 1\/205, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -245 divided by -5?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the third derivative of -1\/60*n**6 + 0*n + 1\/30*n**5 + 7*n**2 - 1\/3*n**3 + 0 + 1\/12*n**4. Factor m(d).\nAnswer: -2*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -2*c + 3. Let p = 5 - c. Suppose p*h = -7 + 23. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 7, o: 5}. What is prob of picking 2 k and 1 o?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 15298 - (1 + (3 - 3)). Suppose 0 = 3*u + n - f, 0 = n + 2*n + 9. Round u to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55674.5794 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/((-60)\/28 + 3 - 1). What is the greatest common divisor of 35 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1760\/3*(-182925)\/(-36). What is l rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -3\/5, 771\/22, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 325662651 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-9\/4)\/((p*p*p**20\/p)\/p) assuming p is positive.\nAnswer: p**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35362 = 2541*t + 22958 - 40957 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 89 = 5*r + 134, 5*y + 18 = r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ar when two letters picked without replacement from {r: 1, z: 1, c: 3, a: 7}?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 70 + ((-15)\/3 - -3) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1098*z**4 - 437 wrt z.\nAnswer: -4392*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*c - 1 + 1)*(-1 - 2*c**3 + 1).\nAnswer: 14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-200)\/(-4)*((-5)\/6)\/(1100\/660)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -38 + -81. Let t = m - -119.058. Let q = t + 0.154. What is q rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 33 + -37. What is the biggest value in 4, a, -1\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 266088 + -188411. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2030813 is divided by 1015398.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 62 + (1 - (3 - 0)) + (-152 - -144)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 59306, 118761, 178216, 237671, 297126, 356581?\n\"Answer: 59455*a - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 117, 362, 769, 1338, 2069?\nAnswer: 2962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 - 7\/(-1) - -2. Solve -3*z - 24 = -u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 0.04567303\nAnswer: -0.18269212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (-4 - -1) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (14 - 15)*(-5 - 0). Suppose -y*h + 26100 = 4*h. Suppose -h = -8*f - 12*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/8 - (-1 - (-86346)\/24). Let z = 197 - t. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/2 in 1, -0.055, -2\/5, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3577, 286, -5 in decreasing order.\nAnswer: 286, 4, -5, -3577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 187 and 9163?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 + 3*l**2 - 4*l + 4. Let p(i) = 8*i + 2. Let x be p(-2). Suppose d + 8*d + 153 = 0. Let j = x - d. Give r(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2. Let k(j) = j**3 - 3*j**2 - 3*j. Let s be k(4). Suppose -3*o + 10 = -2*o - 4*h, -o - s*h - 14 = 0. Let d(z) = z + 4. Give o*d(a) + 4*v(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/3*(-1)\/(-4)*6. Let p(s) = 4*s. Suppose -3 - 3 = -2*t. Let z(m) = 5*m. Give o*z(y) + t*p(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 298 a factor of 724260690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-42)\/56)\/(2\/(-8)). Suppose 0 = s, -4*s + 7*s + 20 = 5*k. Determine h so that -h**4 + 3*h**z - h**3 + 3*h**k = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-1)\/((-6)\/1299))\/(2\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 151, 540, 1173, 2050, 3171, 4536, 6145?\n\"Answer: 122*j**2 + 23*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-814)\/(-6)*(-4)\/16. Let a = -44\/3 - i. Let c = 9583 + -210787\/22. What is the common denominator of c and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -29 - -31. Suppose o*r = -2*r + 568. Suppose 2*h - r = 5*q, 4*h + 3*q = -0*h + 336. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(3\/5))**10*(n**(-2))**(-12))**(-1\/21) assuming n is positive.\nAnswer: n**(-40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 + 3*o + 3. Suppose 5*a - 2 = 13. Calculate g(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 105178, 5, -25 in ascending order.\nAnswer: -25, -12, 5, 105178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n - 5*l = -2, 3 - 5 = -l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times -0.01169\nAnswer: 0.005845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14706 by -2.\nAnswer: 7353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6 and 319026.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*z**3 - 373*z**3 + 0*z**4 - 5*z**4 + 3041*z + 17439*z - 3840*z**2 = 0. What is z?\nAnswer: -32, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 35681 and 3115757.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 41*r - 84. Let i be o(20). Suppose 28*n - 24*n = i. What is the greatest common factor of 16 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1760 is divided by 218?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99*c + 100*c - 8 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2788 and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-47)\/(-94) - 3\/4*-2. Solve 3*t + q = 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.6, -1\/2, -0.1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14366, 32252, 53646, 78548, 106958?\nAnswer: 138876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -10*a + 34. Let q be s(3). Let x be 9 + -1 + q\/16*16. Solve 5*p - 6 = -k - 20, 5*p = -3*k - x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23365131?\nAnswer: 3, 109, 71453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1613155312 to the nearest integer?\nAnswer: 40164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 260 = -14*r + 92. Let a = -13 - -21. Is a\/r*(-1377)\/6 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*l + 6. Does 2 divide l\/(-14) + (-52)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -4*x**2 + 32*x - 1. Suppose 5*p - 20 = 3*b + 2*b, -p - 4*b = -19. Let a be u(p). Calculate the highest common factor of 1107 and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22653 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.382 - 0.418. Let v = 0.13 + p. Round v to one decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -36.859 and -2163377?\nAnswer: 2163340.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -3*i**2 + 316*i + 11675. Calculate r(-29).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 57.511 - 57. Let b = 0.111 - g. Put b, 0.06, -1\/3 in descending order.\nAnswer: 0.06, -1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 4 = 39*b - 44*b, -5*b = -2*n - 36 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**2 - 20*u - 85. Calculate the smallest common multiple of l(-7) and 416.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 239537?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17 + 16. Let t be (-12)\/48 - (d + (-6)\/(-8)). Let n(p) = p**3 - p**2 + 10. Let h be n(t). What is the highest common factor of h and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -118, 129, 534, 1097, 1818, 2697, 3734?\n\"Answer: 79*o**2 + 10*o - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 5*v. Let g(z) = 3342*z**2. Calculate j(g(i)).\nAnswer: 16710*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13862420 = -73*q - 147*q. List the prime factors of q.\nAnswer: 13, 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 - 3*q + 6. Let l be p(-4). Suppose -l*w = 21 - 51. What are the prime factors of ((-3)\/(-5))\/(1\/w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 146715 = -3*m, m + 23*j - 48910 = 21*j. Suppose 0*c = -15*c + m. What is c rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**3 - 2*w**2 + w - 1. Let i be z(-3). Let y(s) = -3*s**2 - 107*s - 78. Let f(x) = -x**2 - 30*x - 22. Let v(j) = 7*f(j) - 2*y(j). Determine v(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.2407 + -14.1507. Let z = -0.1491 - -13.3861. Let t = z + a. Round t to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 44 - 46. Put -1\/3, o, 0.1, 8 in decreasing order.\nAnswer: 8, 0.1, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7\/810 in -32, 8\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*k + 2*k + 125*k - 47*k.\nAnswer: 84*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2, 34, 244?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 331 - 331?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.03, 0.136, 2006?\nAnswer: 0.136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tgtttgt. Give prob of picking 2 t.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 68 - 74.2. Let z = j - -6. Sort 0.1, z, -2 in descending order.\nAnswer: 0.1, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 217*c + 1. Let u be v(2). Suppose u + 1890 = 5*w. Suppose 5*l - 4*a = w, 5*l - 3*a - 199 - 261 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the third derivative of 0*p + 13\/6*p**3 - 11\/120*p**5 - 1\/4*p**4 + 14*p**2 + 0. Let r(u) be the first derivative of v(u). Differentiate r(c) wrt c.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42, -84, -126, -168?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0 + 30 + 10 + (-12)\/3. Solve 4*d - n = 13*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**2 + 4*r + 5. Calculate i(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**10*p*p)\/(p*p\/p**(1\/28)*p*p) assuming p is positive.\nAnswer: p**(-307\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -100554, -201155, -301746, -402321, -502874, -603399?\nAnswer: -703890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28 - 57\/2. Let d = -1.18 + -1.82. Which is the nearest to -1?  (a) -4  (b) d  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 61 (base 16) to base 7\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + 5 + -3 - (1 + -2). Which is smaller: a or 20\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.468 - 0.548. Which is the nearest to 3?  (a) 0.3  (b) 4\/3  (c) s  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 357 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 25453, 25471, 25475, 25459, 25417?\n\"Answer: -g**3 - g**2 + 28*g + 25427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -7*y**2 + 6*y + 60. Let x(l) = -l**2. Let q(g) = u(g) - 6*x(g). Calculate the smallest common multiple of q(10) and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -21 + -16166?\nAnswer: -16207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 29, -13, 1, 1\/17351, -0.4 in descending order.\nAnswer: 29, 1, 1\/17351, -0.4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -2*l. Let k(w) = 4*w + 15. Determine -6*h(z) - 2*k(z).\nAnswer: 4*z - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1110 + -22001221200200?\nAnswer: -22001221122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum 45 and -0.064.\nAnswer: 44.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 14*g**2\/5 + 66*g - 144\/5 = 0.\nAnswer: -24, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12977654?\nAnswer: 2, 31, 209317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 6  (b) 9  (c) 2\/7  (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -444 or -3105\/7?\nAnswer: -444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 130 and 390.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -9 - (-63)\/(-27)*-3. Let c(d) = 3*d**3 - 2*d**2 - 3*d - 4. Calculate c(r).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*v**3 + 2*v**3 - 28*v**3 + 14*v**3 + 10*v**3 + 2*v**3 + 5*v**3 - 22*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -98661*v**5 + 24*v**2 + 533?\nAnswer: -5919660*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26699, 53397, 80095?\nAnswer: 106793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 423331.7ug?\nAnswer: 423.3317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m**4\/5 - 81*m**3\/5 - 291*m**2\/5 - 351*m\/5 - 138\/5 = 0 for m.\nAnswer: -23, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*j**2 - 5*j**3 + 0*j**2 + (-j + 3*j - 3*j)*(-j**2 + j**2 - j**2) + 2*j**3 - 3 + 3 + 3*j**3 + 6*j - 4*j**3 - 4*j.\nAnswer: -3*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(5\/6)\/(p*(p*p**(-1)*p)\/p)*((p*p**(-6))\/p)\/(p\/p**9))**(-34) assuming p is positive.\nAnswer: p**(-187\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - ((9 - 8) + (-1 - 0))) + -12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 1 + 5 - 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -311*g**4 - 3*g**2 - 75*g. Let z(c) = -311*c**4 - 4*c**2 - 75*c. Let b(u) = -4*k(u) + 3*z(u). Find the second derivative of b(j) wrt j.\nAnswer: 3732*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 + 8*a + 463*a - 106*a + 126*a in the form i*a + q and give i.\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**19\/a)\/a)\/a**(2\/59) assuming a is positive.\nAnswer: a**(1001\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -66 - -67. Let d be ((-3)\/9)\/(5\/10). Sort r, -0.3, d, -2.\nAnswer: -2, d, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -720042046*a**4 - 714998601*a wrt a.\nAnswer: -8640504552*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12561*r - 256*r - 7991*r.\nAnswer: -20808*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*c - 19*c = 364 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7574 (base 9) in base 15?\nAnswer: -19ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6.1077 * -0.06.\nAnswer: 0.366462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.2, -3\/5, 20164, -0.3, -0.01?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 17933*c*j**3 - 3*c*j**2 - 8*c*j - c - 772*j**3 - 82*j**2 - 2*j - 52 wrt j.\nAnswer: 107598*c - 4632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -5*b**2 - 5*b + 7. Let n(s) = 6*s**2 + 6*s - 8. Give 4*n(q) + 5*t(q).\nAnswer: -q**2 - q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -10100867, -20201734, -30302601?\n\"Answer: -10100867*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - 131021?\nAnswer: -131022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 285328919 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: Simplify (-1*(2 + sqrt(2299) + -1 + sqrt(2299)))**2.\nAnswer: 44*sqrt(19) + 9197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g*g**(-1))\/g)\/g)**(-3\/14)*(g\/g**0)**(-7\/4))**(-2\/15) assuming g is positive.\nAnswer: g**(37\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -10, 2, 159, -6, -25, -5 in increasing order.\nAnswer: -25, -10, -6, -5, 2, 5, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/17067690 and 143\/30.\nAnswer: 17067690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.86 - -1.14. Let m = -5\/3 - -38\/21. What is the smallest value in -14, m, -5, d?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 397\/3 + -133. What is the nearest to 2\/7 in 2, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*l**3 - 3 + 3 + (0 - 1 - 2)*(0 + 0 - 2*l**3) - 124*l**3 + 5*l**3 + 23*l**3.\nAnswer: -92*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-7) + 26\/7. Let h(d) = -3*d**3 + d**2 - 2*d + 5. Let u(z) = 4*z**3 - 2*z**2 + 2*z - 6. Let o(n) = 5*h(n) + 4*u(n). Calculate o(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -104 - -99. What is the nearest to -4 in -4, l, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -807695 minus -781?\nAnswer: -806914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 92851?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i**(-4)*i)\/i)\/i**(-1\/2))**(14\/9))**(-17) assuming i is positive.\nAnswer: i**(833\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 - j**2 + j + 760000. Suppose 2*y = -y. Let r be y\/((-3)\/(-3) - 4). Let n be g(r). Round n to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 7\/20  (b) -1\/3  (c) -27  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(1539) + sqrt(1539)*4*4))**2.\nAnswer: 16011756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 - 13*l**2 - 11*l + 12. Let s be w(-12). Which is the second biggest value?  (a) -0.09  (b) 0.2  (c) -1\/6  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0*((-32)\/12 - -3). Suppose 3*i + u*i = 0. Suppose i = 2*q - a - 28, -56 = q - 5*q - 3*a. What is the smallest common multiple of q and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one tenth of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 8 = 5*z, -5*z - 15 + 19 = o. Solve -t + o*b = 25, 0*t = -4*t - 4*b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 2 c when three letters picked without replacement from ncrcnfc.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = c - 2*z, z + 2*z = -3. Let h = -20 - c. Solve -3*w = 4*u + 20, -h*w - u - 2*u = 18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -97 - 5*a + 46 + 36. What is j(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*m + 248*m + 272*m.\nAnswer: 503*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00004726 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h + 14. Let j be z(9). Suppose -x + j*x = -12. Is ((-4)\/x)\/((-2)\/(-27)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1560373 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 96 divided by -24.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46363 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -5*b - 27. Calculate the remainder when d(-13) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = -4*q + 7, -3*q + 3*d + 175 - 172 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 4*g**3 - 5*g**2 - 4*g + 5. Let s be -4 + 4\/2 - -1. Let m(l) = l**3 - l**2 - l + 1. Let w(c) = s*n(c) + 5*m(c). Solve w(t) = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 31357282?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/5 of a micrometer in nanometers?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 1486 = 5*f - 1480, 3*u - 8*f - 4 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -14*u**4\/5 - 1670764*u**3\/5 - 49835904582*u**2\/5 + 683784794992*u\/5 + 199435282424\/5 = 0.\nAnswer: -59677, -2\/7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/5346 and -163\/378.\nAnswer: 37422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (38*j - 14*j - 23*j)*(-1 - 2*j**3 + 1) to the form f*j**4 + y*j + w*j**2 + v*j**3 + q and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 33\/3754?\nAnswer: 33\/3754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*a + 2*a - 2*a)*(-a + 0*a - a) - 42*a**2 - 88 + 88)*(-2*a - 3*a - a).\nAnswer: 276*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-23)\/(-483)*-49)\/(1\/6*-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 221, 372, 523, 674?\n\"Answer: 151*l + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes before 6:38 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 28\/42*(-6)\/4 - -398. Which is bigger: 396 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(12)\/sqrt(4) + 2).\nAnswer: -8 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2501 and 11895?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1605 minus 43746?\nAnswer: -45351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*q - 78 = 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 27 and 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13 - -6) + 4 - (-5 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 89\/102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 8 = 4 + 60 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, h: 1, g: 1, y: 1}. What is prob of picking 1 q and 3 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of w**5\/30 - 1516*w**2. Let b(y) = -989*y**2. Determine b(t(s)).\nAnswer: -3956*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31 (base 6) to base 7.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 206 = -k. Suppose -k + 13 = 5*p. Calculate the remainder when (-8)\/(-36) + (-608)\/p is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4284.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmimmmimmmmimi. What is prob of sequence im?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - s + 5*s**2 + 2*s**2 + 2*s**2 - 4*s as a*s**2 + v*s + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -54*x - 272. Give r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3188423 to the power of 1\/2, to the nearest integer?\nAnswer: 1786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -234030, -234028, -234026?\n\"Answer: 2*j - 234032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 92630 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 - f - 15. Let k be q(-4). Let z(r) = -r**2 + 6*r + 3. Let w be z(6). Solve w*l + k = -s, -4*l - 6 = s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = -3*q - 25, 14*q - 13*q - 6*t + t = -31 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 410873.6 micrometers in meters?\nAnswer: 0.4108736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -456 + 451. Put m, 0, 1, 5, 4 in ascending order.\nAnswer: m, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 246.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55 (base 14) to base 16.\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 147497851 a multiple of 724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {v: 2, a: 1, j: 2, i: 1, f: 1, q: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -43565 times -0.022\nAnswer: 958.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -2*w + 30. Let v be -3 + 6 - 9\/3. Let j be d(v). Calculate the remainder when 27 is divided by ((-2)\/6)\/((-1)\/j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h - 3*y + 11066, 16*h = 18*h - 3*y - 11054. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 70*j**5 + 137825*j**4 + 403225*j**3 + 383425*j**2 + 108125*j - 9830 = 0. What is j?\nAnswer: -1966, -1, 1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 101 divide 24905085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 368 - 286 = -41*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -73950000 rounded to the nearest one million?\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 33110 and 8030078.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2286796?\nAnswer: 2, 571699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 15*z - 3. Let n(u) = -16*u + 2. Let c(a) = -24*a**2 + 111*a - 57. Let f be c(4). What is f*t(s) + 4*n(s)?\nAnswer: -19*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 101429474 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 - 130*y**2 + 355*y + 46036. What is f(-130)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f. Let g(i) = -i**2 + 4*i - 4. Let p(s) = -s**2 + s - 1. Let v(c) = -c**2 - 9*c + 4. Let t be v(-9). Let l(w) = t*p(w) - g(w). Give o(l(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3\/2, 0.9, -0.6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 22901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 2, -1, -3, -5, -122 in descending order.\nAnswer: 3, 2, -1, -3, -5, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -25.1 in -1, -0.165, 1, -2\/5, 2, 21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 4*i + 3. Let b(a) = -2*a - 1. Let k = 175 - 174. Let l be k\/(-5) + (-26)\/(-5). What is l*b(x) + 3*w(x)?\nAnswer: 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-22)*z)**(-48) assuming z is positive.\nAnswer: z**1008","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a - 4 = -9*a, 0 = r + 3*a - 1800. Is r a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.3?  (a) 0.27  (b) 5\/2  (c) 3  (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13 - -232?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*k = -38*k - 1600. What is the highest common factor of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*m + 4*m + 6*m - 1287 + 663 + 728 + 4*m + (0*m + m + 0*m)*(3 - 4 + 0).\nAnswer: 13*m + 104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 45 + -41. Suppose -5*a = y*m - 180, 3*m - 37 - 63 = 5*a. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 + -61 + 2\/(-1). Let t = -60 - w. Let j be -1 - (-24)\/12*t*-1. Which is the second smallest value?  (a) 7  (b) -3\/8  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 31303269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -258 = -16*t + 30. Solve 6*h + 6 + t = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand n - 2*n - 2*n + (-n + 4*n - n)*(3 - 1 - 1) + (1 - 3 + 1)*(-n + 3*n - 5*n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 110*m**2 + 113*m**2 - 222*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*b - 901 - 5959 = 0. What is the highest common factor of b and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1\/3, 2\/3, -2\/9 in decreasing order.\nAnswer: 2, 2\/3, 1\/3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*t - 5*t - 6335. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-9)\/(-3) + -8)*5\/(-25). Suppose -m = 5*c - 5, c - 3*m = -m + u. Is 1 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -3*n. Suppose 0 = 8*k + 5*k - 3*k. Let p(q) be the third derivative of 0*q + 0*q**3 + k - 4*q**2 + 0*q**4 + 1\/30*q**5. Give p(z(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x**5 + 135*x**4 + 295*x**3 - 135*x**2 - 290*x = 0.\nAnswer: -2, -1, 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1527, -1521, -1515, -1509?\nAnswer: -1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -245368, -491401, -737434, -983467?\nAnswer: -1229500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 186 and 22754.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-3\/7)*n*n*n**(-2))\/(n\/n**(-1))**35)\/(((n*n**(2\/5)*n)\/((n**6\/n)\/n))\/(n**1*n**6*n*n)) assuming n is positive.\nAnswer: n**(-2094\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -37266, -37206, -37146, -37086, -37026, -36966?\n\"Answer: 60*h - 37326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 82942.\nAnswer: 2, 113, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33) - (sqrt(33) - sqrt(66)\/(sqrt(12)\/sqrt(6))))\/sqrt(11).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (6*sqrt(42)\/sqrt(2) + sqrt(42)\/(sqrt(2) + sqrt(2)*1) + sqrt(21))\/(6*(sqrt(150) + sqrt(6))\/sqrt(2)))**2.\nAnswer: -25*sqrt(7)\/12 + 14575\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Round 3038.43 to the nearest ten.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.05 - -1.95. Let q = -3.08 - -0.08. Let y = m - q. Which is the nearest to 1?  (a) y  (b) 1  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -806, 261, 2, -5 in increasing order.\nAnswer: -806, -5, 0, 2, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 207187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(2\/7)\/y)**(-28)*y**2\/y**(-1)*(y**6\/(y\/(y**7*y)))\/(y**(-1)*y**(-6)) assuming y is positive.\nAnswer: y**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -128161 plus -3?\nAnswer: -128164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6209 and 75161719.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 3*w - 4. Let q(j) = 3*j - 3. Suppose 3*s = 2*t - 2, -2 = 5*t + 3*s - 7*s. What is t*a(i) + 3*q(i)?\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of r**6\/75 - r**4\/10 + 2*r**3\/15 - 11*r - 7. Let h(s) be the first derivative of l(s). Let h(f) = 0. Calculate f.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -113*q**3 - 184?\nAnswer: -339*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -20, 4, -93, 318, -5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101001101011110010011111 - -100?\nAnswer: 101001101011110010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9218457116 - -5670.\nAnswer: -9218451446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -2*l + 1. Let f(v) = -v**2 - 9*v + 4. Suppose -7*u + 2*u + 20 = 0. Suppose 15 = -u*w - 21. What is w*x(s) + 2*f(s)?\nAnswer: -2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -3*r - 1 + 4*r - 2. Let u be g(4). Suppose u - 21 = -4*k. Solve -2*m + m = 2*i - 9, -4*i = -k*m + 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-3)*1)\/((-25)\/75)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00113102186 to seven dps.\nAnswer: 0.001131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 6 - (0 - -3) - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77326 is divided by 365?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 288*g - 555. What is the remainder when 7432 is divided by b(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 2*q + 1862 = 0, q - 1389 = -3*j - 2*q. Suppose -j = v - 464. Which is the third biggest value?  (a) v  (b) 2  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4001766, 16006745, 36015044, 64026663?\nAnswer: 100041602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22 - 37. Put -2, 3, y in descending order.\nAnswer: 3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -156, 5, 19, -26?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 + 15. Let l(y) = 16*y + 5. Is l(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -2\/3, -0.1, 32, 0.4, 3\/2 in decreasing order.\nAnswer: 32, 3\/2, 0.4, 1\/4, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -24*m + 6. Let z(s) = -s. Let y(x) = b(x) - 2*z(x). Let l be y(-3). What is the greatest common factor of l and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -110*d - 23 + 117*d + 0 - 1. Let r be v(3). Let k(w) = -7*w + 2. Give k(r).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**2 + 11*j + 3. Let n be p(-5). Let z be 9\/n + 2\/3. What is the nearest to z in -2, -5, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 5  (b) -2\/7  (c) 3\/16  (d) 3  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 576 and 480?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 + -99 + -5 + 40?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -9*y - 11*y + 22*y. Let o be p(-1). What is the nearest to 0 in 0.1, o, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 4*u = -245 + 12, 3*u - 12 = 0. Let f = y + -44. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -68, 2, -29, 0 in decreasing order.\nAnswer: 2, 0, -2, -29, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 + 4 - 8 - -82. Let i be (r\/(-65))\/((-4)\/10). Suppose -4 = -h - 5*s + 3, -5*s + 5 = 0. Solve h*l + 3*l = i*o + 12, 5*l = -2*o + 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -4\/3  (b) -1  (c) -3  (d) 3  (e) 1  (f) 16.424  (g) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(320) + -5 + sqrt(320) + sqrt(320))*-5 - (-1 + (3*sqrt(320) - sqrt(320))))**2.\nAnswer: -7072*sqrt(5) + 93156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllllll. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*m - 10*m + 2*m**4 - 6*m + 23*m**2 - 2*m**3 + 0 + 1 as j*m**2 + d*m**3 + y*m + s*m**4 + x and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/10 + ((-4312)\/1155 - 10\/(-3)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 86941?\nAnswer: 227, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the first derivative of q**4\/84 + 29*q**3\/21 - 3*q - 32. Let h(t) be the first derivative of u(t). Solve h(g) = 0 for g.\nAnswer: -58, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32697462 - 0.55\nAnswer: 32697461.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 46940 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -93*s + 1. What are the prime factors of n(-1)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 + (0 - (-18 - -29))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/24)\/(((-3)\/(-18))\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -25a5 (base 11) in base 16?\nAnswer: -d36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -173 = 15*j + 7. Let i be 1928*3\/(j\/(-250)). Round i to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 253\/2 + -409\/4. Find the common denominator of i and 79\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -123\/20 and 103\/3760?\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*x**4 + 20*x**3 + 3200323 - 3204791 + 4*x**3 with respect to x.\nAnswer: -28*x**3 + 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*-2.8507\nAnswer: 5.7014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 10 = s, s - 2*w = 5*s - 10. Let u = 22 - 12. Solve 2*x = -2*y + s, -3*x + u + 1 = 4*y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -165 + 415510?\nAnswer: 415323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2405 + -2404.9. Sort 0.2, g, 96.\nAnswer: g, 0.2, 96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + r + 252 = 244, 2*p + 2*r + 4 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the first derivative of 7 + 2*w**2 + 4*w - 2\/3*w**3. Let d be (1*2)\/(5 - (-54)\/(-12)). Let g(c) = -c - 1. Calculate d*g(l) + s(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/(-24)*(-8)\/6*16\/16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 410356885?\nAnswer: 5, 7459, 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 176593358.\nAnswer: 2, 7559, 11681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:41 AM and 10:31 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -16, -9.06, 0.1.\nAnswer: -16, -9.06, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 424 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/3*(10527\/(-58))\/(-11)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8.858 + -8.68. Is -2.5 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*j**4 - 5*j**4 + 4*j**4)*(0 - 1 - 2) + 4482*j**4 - 6461 + 6461 as t*j + y*j**3 + w*j**4 + s + m*j**2 and give w.\nAnswer: 4476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-1*(-12)\/(-90))\/((-4)\/(-6))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/549100 and 34\/25.\nAnswer: 549100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 893360 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 2:47 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/28  (b) -1\/5  (c) -3  (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 1. Let f be (88\/11 - 5) + 6\/(-3). Let v(o) = 16*o - 80. Calculate f*v(u) + 80*p(u).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16261 - 1463677\/90. Calculate the common denominator of z and 101\/126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 224 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/316869 and -26\/75445?\nAnswer: 1584345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 5 - 2670299*f - 7 + 2670270*f.\nAnswer: -29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 137310835 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 45, 90, 131, 168?\n\"Answer: -2*p**2 + 51*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/27 and -11\/72846?\nAnswer: 72846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 635 - 1171. Let b = o - -789. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -10*g - 8. Let b be o(-8). Suppose y = -y + b. Suppose -6*p = -3*q - 3*p + y, 3*p - 66 = -3*q. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -238*t + 92*t = -292 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*h = -322 + 934. What is the greatest common divisor of h and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i**3 + 26*i**2 + 199*i + 390 = 0. Calculate i.\nAnswer: -13, -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 237991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -55*1 - 72144\/(-1296).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r = -5*j - 50, 0 = -580*j + 582*j - 5*r + 20 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1172868 is divided by 311.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3580061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 223320, 223319, 223318?\nAnswer: 223317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 - 12. Let k = -5 - p. Let f = 4 - k. Which is the third biggest value?  (a) -3  (b) 1  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -20835 + 0?\nAnswer: -20835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -239683\/6 + 40162. Let o = -218 + n. What is the common denominator of 23\/93 and o?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 PM and 6:00 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -30330432 + 3?\nAnswer: -30330424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 30428 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 + m + 18. Let z be 1\/(-2)*(-5 + 5). Let b be o(z). Let f be 356\/18 - (-4)\/b. Solve 2*x + 2*x = -f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) -5  (c) 0.2  (d) -0.2  (e) -6  (f) 1\/110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.621055 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are 8.02 and 0.279798 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 219298942 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2*(-3 - (-39)\/6). Let h(r) = -19*r - 10. Is h(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 170547 and 8.\nAnswer: 1364376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11*-0.79342.\nAnswer: 8.72762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -177*m**4 - 29*m**5 + 177*m**4 + (0 - 2 + 4)*(2*m**2 - m**5 - 2*m**2) - m**5 + 2 - 2.\nAnswer: -32*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 6003, 6006, 6009, 6012?\n\"Answer: 3*n + 6000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -104.38696 + -0.16504. Let d = s + 104. Let b = d + 0.6. What is b rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1.8, 92, 60.8, 0.2, -0.3, 2\/13, -4\/9?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jmjjajjwmajfwmjmjmf. What is prob of sequence afww?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/24 of a century?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1622 - -1707. Calculate the highest common factor of o and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7667915 + -5?\nAnswer: -766791a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -118 + 40 - -147 - -41.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 63, -9, 0.07, 0.5 in decreasing order.\nAnswer: 63, 0.5, 0.07, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 288887471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -361 + 358. Sort -2, 5, q in decreasing order.\nAnswer: 5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2*g**3 + g**2 + 934*g - 2809. Determine w(3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15641210 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 12:30 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 28*f = 2*d + 2*f - 106 - 18 - 16 - 42, 7 = -f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 29801 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2468646?\nAnswer: 2, 3, 137147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7267 - -26415. Calculate the remainder when k is divided by 133.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d + 32 - 216 = 0. Calculate the greatest common divisor of 8027 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 - 6*o**2 + 5*o + 6. Let v(l) be the first derivative of -l**4\/4 - l**3 - l**2\/2 + 2*l - 1. Let b be v(-3). List the prime factors of w(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.1 or 70\/433?\nAnswer: 70\/433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -13 + 11 + 2 - 3*g**2. Let l(p) = 2*p. Determine l(a(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and 72.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.262201 kilometers in meters?\nAnswer: 1262.201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**5 + l**2. Let a be (1\/1)\/(7 + -8). Let v(g) = 157*g**5 - 167*g**2. Let b(j) = a*v(j) - 6*z(j). What is the third derivative of b(t) wrt t?\nAnswer: -9060*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.7871 in -15, 13, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t + 8 - 8)*((t - t - t)*(-2 - 2 + 2) + 467*t + 584*t - 906*t).\nAnswer: -294*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(55)\/sqrt(5)*-6)**2 + -5*(2*sqrt(11) + sqrt(11))**2)*-2 + ((1*sqrt(2200) - sqrt(22))\/(sqrt(2) + 2*sqrt(162)))**2.\nAnswer: 72369\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -121 (base 4) in base 3?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -51.91962 - -83416?\nAnswer: 83364.08038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -4, -4\/9, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4896 + -4847. Solve -30*u = -101 - j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fiffoof. What is prob of picking 1 f and 1 o?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add 1545484695515 and 0.7.\nAnswer: 1545484695515.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5551 and 0.06.\nAnswer: 333.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -7, 1, 2049, 2, 0 in ascending order.\nAnswer: -7, -4, 0, 1, 2, 2049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 22.70345 to two dps.\nAnswer: 22.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -76*k - 56*k - 264 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 - -92. What is the common denominator of 115\/12 and (-2)\/3*3135\/r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -55*f**3 - 3*f**2 + f - 1. Let q be t(3). Let z be (-2 + q\/(-15))*-3. Let d = -596 - z. Round d to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**3 + 10*l**2 - 2*l - 16. Let m be a(-10). Suppose 0 = 3*b + b - 3*q - 100, -m*b = 5*q - 68. Is b less than 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 12 = -5*t, 4*l = -l - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1053*r - 846*r + 8901 for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*c + c - 55*c**2 - 2*c + 56*c**2 + 3*c**3 in the form f*c + m*c**3 + t*c**2 + h and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 271 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1741 and -0.018.\nAnswer: -31.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 42\/(-16)*194\/123. Let i = p - -16\/41. Find the common denominator of (-3)\/(-15) + 26\/4 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*(9\/6)\/1. Let h be (y\/2)\/(2\/(-4)). Factor -g**3 - g**2 + g + 3*g**4 - 2*g**3 - 2*g**4 + 2*g**h.\nAnswer: g*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.0539 + -26.0539. Which is smaller: -2\/9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*w + 36*w**3 - 5*w + w.\nAnswer: 36*w**3 - 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -2*s - 48. Let t be 52\/10 - (-1 + s\/(-10)). Let a = -2 - -4. Solve 5*r = a*l - t*l - 19, 3*r + 3*l = -15 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 AM and 10:50 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - (-3 - 4)) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 14 = 52. Let h = -36 + z. Suppose -22 + 68 = h*b. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1457 = 53*i + 1351 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -36*i + 4221. Determine v(17).\nAnswer: 3609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -10  (b) -0.4  (c) 8  (d) 3\/7  (e) 3  (f) -3528\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**5)\/(a*a**(-4)*a)*(a\/(a**(4\/5)*a*a)*a*a)\/a**(-4\/3) assuming a is positive.\nAnswer: a**(143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 156437357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 274309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + 1. Let z(y) = -y + 4*y**2 - 3*y**w + 1 + 2*y. Let o(v) = 8*v**2 + 6*v + 9. Let f(g) = o(g) - 6*z(g). What is the derivative of f(m) wrt m?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-2 - -10) + (-18 - -16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.127 and -29221?\nAnswer: 3711.067","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-17)*q**9\/q assuming q is positive.\nAnswer: q**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-33 - -14)\/(10\/4). Let q = k - -42\/5. Put 4, 5, -3, q in descending order.\nAnswer: 5, 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 203580278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1*1*(-1 + 68) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 231*v + 743. Calculate o(-4).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 387 a factor of 11963331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1, -31, -2, 2 in decreasing order.\nAnswer: 2, 1, -1, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -20208 divided by 1?\nAnswer: -20208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 162064696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 337972?\nAnswer: 2, 19, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23396\/9549 + -6\/1061. Let g = -7\/3 + f. Suppose g*k**3 + 0 - 4\/9*k**2 + 4\/9*k = 0. What is k?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2\/4)\/((-12)\/(-1680)). Suppose -3*k - 2 = -14. Suppose -50 = -k*i + b. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (255\/20)\/(((-4)\/(-10))\/((-64)\/40))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is a33 (base 12) in base 3?\nAnswer: 2000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 - 6*o + 8. Let j be y(5). Suppose l = j*l - l. Factor 0*c - 4\/11*c**2 - 2\/11*c**3 + l.\nAnswer: -2*c**2*(c + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -121 + 14433313320?\nAnswer: 14433313144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -44197891, -88395776, -132593661, -176791546, -220989431, -265187316?\n\"Answer: -44197885*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (10\/(-16))\/(26\/(-208)). What is the derivative of 58*j**4 - 4*j**2 + 19 - 11 + t*j**2 - j**2 wrt j?\nAnswer: 232*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 654635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a - 5. Give b(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -8*j + 3*j + 1, -5*b + 9 = -3*j. Let l(f) be the second derivative of -4*f**j + 0 + 2*f + 4\/3*f**3. Let s(a) = -7*a + 7. What is 5*l(z) + 6*s(z)?\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6105 and 27445.\nAnswer: 3046395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, p: 9}. What is prob of sequence pp?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28\/(-8)*18\/210*10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 25419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/6*(-18)\/(-8). Let s = 3.24 + -0.34. Let i = s - 3. Which is the closest to i?  (a) 0.1  (b) -0.1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 145 at least 145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 + y - 5. Let w be h(-5). Suppose -16*g - w = -21*g. Calculate the remainder when (g + -41)*(-2 + 1) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 + 14*q**2 + 12*q + 47. Let n be g(15). What is the second derivative of -u**n + 8*u**2 + 10*u + 12*u**3 - 7*u**3 wrt u?\nAnswer: 30*u + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*y - 26*y - 12*y**3.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (57\/171)\/(((-6)\/(-63))\/(-2)) + (-176)\/(-26).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 divided by -423137?\nAnswer: -16\/423137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -263 times 1.3?\nAnswer: -341.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -13665 + 3?\nAnswer: -13662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.189, -1\/4, 3\/22, 1\/7, -170?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add together -10.3 and -115.\nAnswer: -125.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 187\/29505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 85381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 923 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 5*m - 24, -5*m = r - 5*r - 21. Let d(w) = -3*w + 1. What is d(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 1074 = 4*r - 350, -3*r = 2*z + 921. Find the common denominator of -11\/4 and z\/128*20\/15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/5*2\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17185523099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 55.54276nm in meters?\nAnswer: 0.00000005554276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 122577 and 59787.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 29\/5 of a micrometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o = 7*v - 21, -5*v - 5*o + 179 = 164 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 37.02611l?\nAnswer: 37026.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -47*-4*(-3057)\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 5, k: 3, q: 1}. Give prob of sequence kb.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r**2 + 4*r**2 - 4*r**2)*(0*r**2 + 6*r**2 - 3*r**2) + 1 - 1 + 2*r**4 + 2171*r**4 - 47375*r**2 + 47375*r**2.\nAnswer: 2179*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15 + 7. Let a be (23 + k)*2\/6. Solve 0 = -a*v + 2 - 17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16411, 16416, 16423, 16432, 16443?\nAnswer: 16456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6 + 2*s**4 - 2 - 11 with respect to s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 9*j - 2. Let u(f) = -5*f + 1. Let k be (-216)\/(-10) - (-6)\/15. Let r be (-8)\/(-44) - (-238)\/k. Calculate r*u(m) + 6*y(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of -20*c**7\/63 + 479*c**6\/9 + 2391*c**5\/10 + 1004*c**4\/9 + 196*c**3\/9 + 97*c**2 + 2*c + 2. Let o(x) = 0. What is x?\nAnswer: -2, -1\/10, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d - 2*d + 2*d + (-4*d + 0*d + 0*d)*(-4 + 1 + 1))*(5*d + d - 4*d)*(-1 + 3 - 4).\nAnswer: -44*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 396236 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1663326323 to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (2 + sqrt(2))**2 + (sqrt(24) + sqrt(24)*2)\/sqrt(12).\nAnswer: 1 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -3 + 69 - 2*k - 67 + 3*k. Let d(i) = 2*i**2 - 4. Determine d(g) - 4*w(g).\nAnswer: 2*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.0833 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 6820, 6821, 6822, 6823, 6824, 6825?\n\"Answer: b + 6819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -9 - 9.835263\nAnswer: -18.835263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*k + 1 + 10*k + 10*k + (3*k + 2*k - 4*k)*(-1 - 3 + 2).\nAnswer: 11*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + -5 + -7*(-70)\/49?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of -m**6\/20 + m**5\/12 + 5*m**4\/12 - 11*m**3\/6 - 8*m**2. Let t(p) = p**3 - p**2 - 2*p + 2. What is 2*k(s) + 11*t(s)?\nAnswer: -s**3 - s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 >= 65572\/18491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*i, 2*u = u + 2*i. Suppose -7 = 3*w - u. What is the tens digit of 2135\/42 - w\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14779*g**2 + 14779*g**2 - 80*g**3 + (-2 + 0 + 4)*(5*g**3 - 3*g**3 - 3*g**3).\nAnswer: -82*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 3\/7, 3, -1, -11?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -6*2\/(-10)*130\/(-39)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 625\/9 - 613\/9. What is the third smallest value in -25, 6\/11, 2\/15, g?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 371738444 a multiple of 604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + f - 1)*(-1 + 1 - 2) + (-3 + 1 + 1)*(2*f + 2*f - 2*f) + 4*f + 42*f + 37*f.\nAnswer: 79*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - 110 - 74. Suppose -2*x = 2*u - 0*u + m, 0 = 2*u - 5*x + 106. What are the prime factors of (-1 + 10)\/((-18)\/u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*n*w**4 + 265*n*w**3 - 8*n*w + 2*w**4 + 4*w wrt w.\nAnswer: 24*n*w**2 + 1590*n*w + 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s - 21. Let n be m(-8). Let f be 0 + (6 - 2) - (n + 6). Suppose 2*u + 210 = 4*z, 5*z - f*z + 4*u - 120 = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - 15 - (1 + -8 - (-12 + 4)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3167 is divided by 113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 20329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 3)*((-6*w + 2*w + 2*w)*(1 + 4 - 7) + 1 + 14696*w + 1 - 11676*w).\nAnswer: 3024*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -152265464*h**2. Let t(y) = 3*y. Calculate t(r(f)).\nAnswer: -456796392*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 119 = 3*t - 37. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/(g\/(g**(3\/11)\/g*g))*g**3)**(-29))**(-7) assuming g is positive.\nAnswer: g**(9541\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -71193 + -242?\nAnswer: -71415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7039135?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4074, 15840, 35448, 62898, 98190, 141324?\n\"Answer: 3921*y**2 + 3*y + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = l. Suppose -m + 1 = -4*f, -3*m - 12 = -l*f + 3*f. Sort -2, -3, f in increasing order.\nAnswer: -3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 - 2*d - 1 + 0 to the form m + h*d and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 20 - -2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 + 0)*(-u + u**2 + u)*((-2*u + u + 3*u)*(-4 + 1 + 1) - 1 - u - u - 1).\nAnswer: -18*u**3 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3289492839 from -0.033.\nAnswer: -3289492839.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 67 - 61.4. Let v = o + -11.2. Let z = v + 6. What is the biggest value in -1, z, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + s = -5, -4*y + 3*s = -9 - 6. Let d(l) be the third derivative of y*l + 3*l**2 + 0 - 1\/6*l**3 - 1\/12*l**4 + 1\/30*l**5. Give d(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f + 2. Let l(b) = -b**3 + 9*b**2 - b + 13. Let v be l(9). Let u(q) = q + 0 - 2*q + 1. What is v*u(j) - 3*r(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/20 - 8667\/1070?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express m - 35*m**2 + 14*m**2 + 31*m**4 + 19*m**2 + (-2*m**4 + 3*m**4 - 4*m**4)*(2 + 3 - 4) in the form v + w*m**2 + d*m + k*m**3 + j*m**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -21679 - -152048\/7. Let t be 4\/10 - (-424)\/(-10). Let r = t + k. Is r greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63 = 3*u - 198. Suppose u - 13 = 16*h. Solve 2*i - 2*q - h = 0, q + q - 10 = -4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-seven quarters of a day?\nAnswer: 9720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/5*((-337)\/(-26960))\/(1\/(-75)*-2)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6*7\/(-42) + -1. Put -4, -11, q, -9 in descending order.\nAnswer: q, -4, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 - 4 = f, 0 = 4*u - 2*f + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0147 and 0.1?\nAnswer: -0.00147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a + 52 = 34. Solve -3*m = 5*k - 6, 3*k = m - a*k + 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10227 - -10233. What is the remainder when 673 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -20302216.86 to the nearest one thousand.\nAnswer: -20302000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 9:32 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) -0.4  (c) -1.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4246 + -2117. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 349, 210, -5 in descending order.\nAnswer: 349, 210, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 81, 163, 245, 327?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7194564 is divided by 497.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 2*h - 5, -5*t - 5 = 4*h. Suppose 0 = -15*q + 69 - 39. Determine g, given that g**q + 1\/3*g**t + g + 1\/3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2833, 5473, 8113, 10753, 13393, 16033?\nAnswer: 18673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9854227\/29 or 339801?\nAnswer: 339801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -0*t + 42. Calculate the remainder when 23 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/11, 47, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -9 - 0 - (-192)\/16. Let h(l) be the third derivative of 0*l - l**y - 1\/20*l**5 - 8*l**2 + 0 - 3\/8*l**4. Find q, given that h(q) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:45 PM and 1:58 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w - 12, -7 = 3*a + w + 5. Let n(o) = -o - 3. Let c(z) = 2*z + 5. Let d(s) = a*c(s) - 5*n(s). Let h(r) = 2*r**2 + 2*r**2 - 5*r**2. Give h(d(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1 + -1.9. Let t = k + 0. Let l = 806 + -821. Which is the second smallest value?  (a) t  (b) l  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-9)\/(-15) + (-14)\/(-10). Solve -5*v - 15 = -w*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -3370, -2055, -748, 551?\n\"Answer: -4*p**2 + 1327*p - 4693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -737*-2547\nAnswer: 1877139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 70.59 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16291637\/435 + 37452. Let c = 5\/29 + v. Let f = -796 + 795.9. What is the closest to f in -0.5, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*v**2 - 5*v**2 - 23*v**2)*(0 + 4 + 0).\nAnswer: -140*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 470122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00650881739 to five decimal places.\nAnswer: -0.00651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 446850 and 1.4?\nAnswer: 446848.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -13  (b) 9  (c) -1\/2  (d) 130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*a**3*c**2 + 17*a**3*c*r**2 + 2*a**3*c - 1348*c**2*r**2 + 3586*r wrt r.\nAnswer: 34*a**3*c - 2696*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r - 2*r**3 - 4*r**3 + 0*r**3 + 5*r**3. Suppose 5*o + s = 5, o + 3*s + 0 = 1. Let g(u) = 2*u**3 + 2*u**2 + 3*u - 2. Give o*g(f) + 3*t(f).\nAnswer: -f**3 + 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 196*w + 89491 - 16808 + 30609. Do -1582\/3 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.06 - -0.0599998. What is w rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.1, 4\/3, 0.2, 5, 1\/35?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 3*l + 4*u, 7*l + 18 = 6*l + 4*u. Let r(g) = g**2 - 20*g. Let f be r(20). Solve -l*y - y = f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 20 = 4*y, -c - 7 = -7*y + 4*y. Let h(s) = 206*s**2 + 6*s - 6. What is the lowest common multiple of h(y) and 9?\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*p**4 + 3*p**4 + 2*p**2 - p**3 - 3*p**4 to m*p**4 + s*p**3 + g*p**2 + a + v*p and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 164.89 - -13.11. Let i = -147.2516624 + 325.2516541. Let g = b - i. What is g rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28464 divided by 3?\nAnswer: 9488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + w = 10. Suppose 0 = w*q - q - 44. Let l = 58 - 26. What is the remainder when l is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m\/(m**(-1\/4)*m*m)*m)**(1\/3)\/(m*m**(-1\/4))**(-2\/13) assuming m is positive.\nAnswer: m**(45\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 79090243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4077 = 3*j + 5*t, 3*j - 862*t - 4086 = -864*t. Is 32 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -2*j**3 - 2*j**2 + 81*j + 41. Determine o(7).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -259997*m + 3. Let u(d) = 129999*d - 2. Let t(i) = -4*q(i) - 9*u(i). Let p be t(2). What is p rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -20105229 and -0.4?\nAnswer: 20105228.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*o - 1 - 142 = 7 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 753.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 4*p = 4. Suppose -212 = -2*v - j - j, -4*v = p*j - 422. What is the remainder when v is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61354 is divided by 19885?\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of b**4\/6 + 2*b**3\/3 + 2*b**2\/3 - 9. Factor t(x).\nAnswer: 2*x*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150614381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l - 2*l + 87500000. Round l to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 17\/(1 + -1 + -1). Is 4 + -3 - g*1 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 198036291?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 6, m: 2}. Give prob of picking 1 x and 1 m.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/13)*p*p**(1\/5)*p)**(-2\/23)\/((p**(2\/7)\/p)**(1\/31)*p\/p**(-4)*p*p\/(p*p\/(p**(-2\/7)\/p))) assuming p is positive.\nAnswer: p**(-1263897\/324415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*v**2 - 748 + 748 - 9*v in the form m*v + a*v**2 + x and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*b + 1 + 2*b**3 + 8*b + 0 + 3 to the form g*b + k*b**3 + r + p*b**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*(-3)\/3 + 2 + 2. Suppose -p*s + 5 = -4*l, 3*l - 20 = -4*s - 5. Let c(i) = 10*i + 1. Give c(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n - 4 + 4)*(-8*n**3 + 6*n - 6*n).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (343 - 284) + -111 + 10?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 23501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -44, 0.5, -2, 0.2, 8\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65*d**3 - 53*d**3 + 61*d**3 + 55*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 2*h - 598 = -7*z, 4*h = -z + 190. Suppose 78 + 296 = 17*y. What is the highest common divisor of z and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -33, -71, -105, -135, -161?\n\"Answer: 2*l**2 - 44*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2665715737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -4*u - 9. Let b be f(-3). Suppose 5*o - 26 = b*o. Let d = o + -12. What is the second smallest value in -2, d, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 512010 + -358193. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 5*g + 109 = 21, 4*g = 2*s - 86. What is the greatest common factor of 1716 and s?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -2178\/5*t**4 - 32\/5 - 8976\/5*t**3 - 9776\/5*t**2 - 1088\/5*t = 0.\nAnswer: -2, -2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - -330015157.9977\nAnswer: 330015161.9977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1015 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 877843363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (3 + 1)) + (34 - 29)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 298160 is divided by 74437.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/2))**(-39)*q*q\/(q*q\/((q*q**(7\/5))\/q))*q*q**(-6) assuming q is positive.\nAnswer: q**(-231\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -4*o**2 + 2*o + 8. Let l(u) = 3*u**2 - u - 7. Give -5*j(m) - 6*l(m).\nAnswer: 2*m**2 - 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 2*b - 732*m - 733*m - 10 = -1470*m, 8*b + 5*m + 15 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = u - 171583, 172*k + 114363 = 174*k - 3*u. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-69)\/9 - -8)\/(3\/9252*4) is divided by 242?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = 2*d - 48, 4*b = b - d + 34. Let r = b + 18. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 2*b**3 + 5 - 3*b**3 - 7*b**3 as w*b**3 + a + t*b**2 + o*b and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.72325421 - 436.27621279. Let p = 437 + j. What is p rounded to 5 decimal places?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 133*v**2 - 2. Let l be f(2). Let z be 1*l - 0\/(-4). Suppose -z = a - 4*h, -h + 1655 = -3*a - 2*h. What is a rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18.4 - -18. Let p = -335\/6 + 56. What is the third smallest value in p, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -414 by -138.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 47711 or 667949\/14?\nAnswer: 47711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes after 2:31 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5265101*r**2*z - 31549*r**2 - r - 18 wrt z.\nAnswer: -5265101*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*z = -92*z + 2310482 + 2449798. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25644 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 615178844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 123694 or 1608026\/13?\nAnswer: 1608026\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*r**2 - 10*r**3 + 6*r**2 - 16*r**2 - 2*r**2.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide (-2850)\/3*-5 - (6 - 8\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -32*q - 83. Let z be m(-3). What are the prime factors of 206 - ((2 - 3) + (-39)\/z)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 107103637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -498*v + 46158 = 333*v + 268*v for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.239547 litres?\nAnswer: 239.547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-194)\/(-6) - 26\/(-39). Suppose 0 = i*y - 35*y + 1838. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 - 7*k**2 + k - 9. Suppose -10*z + 20 = -6*z. Let i be a(z). Let w = i + 228. What are the prime factors of w?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -105 + 109. Let g be (i + (-6)\/1)*6\/(-4). Factor 0 - 3\/2*k**2 + 0*k - 3\/2*k**5 + 3\/2*k**4 + 3\/2*k**g.\nAnswer: -3*k**2*(k - 1)**2*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 + 18. Let p = x - 5.99952. What is p rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 50 + -32. Suppose 0 = 2*o + 4*y - 46, y = 2*o + 2*o - 65. Are o and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6077024 < -6077024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 - 9*h + 23. Calculate the remainder when 97 is divided by z(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1627352 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 x when three letters picked without replacement from xttttxpxxxp.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vcccccccccccccccvcc. What is prob of sequence ccc?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/21 greater than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -821 (base 9) to base 4\nAnswer: -22123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -292 + 178. Let i = l + 1021. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 j when three letters picked without replacement from jllljlllllllllj.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 3*j**2 + j - 4. Let n be f(2). Solve z + z = -n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 11 + h**3 - 6*h**2 + 8*h - 2*h**2 - 1 + 14*h**2. Give r(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(5\/25)*-1. Suppose -4*n + 4*y = -y - 21, 24 = o*n - 4*y. Suppose n*k - 7 = 165. What is the remainder when k is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 180 from 36.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate c**2*h**3 + 568*c**2*h + 3*c**2 + 2*c*h - 20*c wrt h.\nAnswer: 3*c**2*h**2 + 568*c**2 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 57 and 327351?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 195*z - 2339. What is n(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -21*w**2 + 87*w + 168. Let r be k(-2). Is r bigger than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 46\/5 of a millisecond?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(39)\/(sqrt(3)*1) - (4 + 1 + sqrt(13)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1118*j**2 - 998169*j + 5 + 998169*j)*(1 - 3*j - 1) + (-2*j**3 - 4*j**3 + 5*j**3)*(0 + 0 - 2) + 2*j**2 - 2*j**2 + j**3.\nAnswer: 3357*j**3 - 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3684 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from {u: 2, q: 2, j: 7, x: 2, w: 1, r: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -5 - 0*5\/(-5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 17\/3, -1\/33 in decreasing order.\nAnswer: 17\/3, -1\/33, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1162688, -2325348, -3488008?\nAnswer: -4650668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, 6, 0.5, 13312?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than -4\/697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + -12 + 3)\/(-9 - (-16982)\/588 - 20).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -126.08 - -129. Let p = r + 0.08. Which is the nearest to 1\/4?  (a) -0.6  (b) p  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 31 + -8. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -8931, 595, 5, 2 in decreasing order.\nAnswer: 595, 5, 2, -3, -8931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4 - 2) + -3 + 3. Suppose 0 = q + 3*x + 13 - 10, 4*q = -2*x - 2. Solve g*j + 2*j = q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the first derivative of -3*k**2 + 3*k**2 + 6*k + 2*k**2 - 2. Is n(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 c when three letters picked without replacement from ddcddxddddjdcjxcdxdd.\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(((-14)\/6)\/7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44, 92, 142, 194, 248, 304?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o - 20 = -17*o. Suppose -6*d - 24 - 6 = 0. Sort -3, o, 3, d in descending order.\nAnswer: 3, o, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**3 - 34*n**2 - 480*n + 17980. Calculate f(30).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14 + 9 - -11) + 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2 - 3 - -16*8\/16\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31478?\nAnswer: 2, 15739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 3*n**2 - 2*n - 30. Let p(o) = o**3 - 8*o**2 + 5*o + 55. Let c(k) = -2*p(k) - 5*y(k). Let q = 0 - 0. What are the prime factors of c(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 177*b**3 + 5*b**2 - 23*b + 47. What is the thousands digit of w(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 473*o + 647*o + 22953 - 7273 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -2 - 3 - (33 - -5 - 6)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (36 - 30) + (-3 - -56)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 5*m + 383 = 0. Let u = 619 + m. List the prime factors of u.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11\/214 or 1?\nAnswer: -11\/214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 2  (b) -2\/5  (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 57408 and 10062?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*s**4 + 0*s**4 - 2*s**4 + (11 - 24 + 11)*(s**4 + 4*s**3 - 4*s**3).\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 7 = -16. Suppose -c*k + 2 = -3*f - 4, 0 = -4*k + 2*f + 14. Let n be 4\/(-26) + 324\/78. Solve -11 - n = -k*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**2 - t - 1. Let o(w) = -2*w - 8. Let q be o(-7). Suppose 40 - 10 = -q*g. Let y(d) = 6*d**2 + 5*d + 5. Determine g*i(x) - y(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 r when two letters picked without replacement from {r: 4, p: 6, j: 1, u: 3}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y = -y - 48. Suppose 10*g - 604 = y*g. What are the prime factors of g?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 9) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 62684886 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 859360057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + ((6*sqrt(540))\/(4*sqrt(27)))**2)*-6.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -1 - l + 3*l**2 - 7*l**2 - l. Let u be m(-1). Let c be ((-1)\/2)\/(u\/90). Solve 16 = 5*z + 4*p, 5*z + 3*p = -2*p + c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -496631, -496623, -496615, -496607?\n\"Answer: 8*q - 496639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3\/2  (b) -1\/385  (c) -5\/7  (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3515, -3609, -3705, -3803, -3903, -4005, -4109?\nAnswer: -4215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (2\/4)\/(806\/(-1560) + 56\/(-140))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-48)\/15 + (-9)\/(-90)*12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4 - 252\/(-2) - -3. Let q = 28 + -25. Suppose 2*i + 2*n - 48 = -2*n, 0 = 5*i - q*n - s. What is the greatest common divisor of 234 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 115455 (base 6) to base 3.\nAnswer: 112011122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 18705437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 4eea5 (base 15) to base 9\nAnswer: 425112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 15452*o + 2 - 15453*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xn when two letters picked without replacement from {f: 3, x: 1, t: 3, n: 2, u: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -704665.243 to the nearest ten.\nAnswer: -704670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**4\/3 - 8*x**3\/3 + 22*x**2\/3 - 4*x.\nAnswer: -2*x*(x - 1)**2*(x + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 AM and 10:06 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 265 = 7*z. Suppose 0 = 5*o - 0*o + 2*y - z, 34 = 2*o + 4*y. Let r be (8\/10)\/(2\/10). Solve -r*f = -o*f - 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4944983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -713.\nAnswer: -2\/713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*o - 16*o + o**2 + o**2 + 13*o.\nAnswer: 2*o**2 - 24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4914 divided by -819.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*c - j, 2 = 3*c - 2*j - 0. Suppose -3*p - 2*p + b = -7, -5*p - c = -4*b. Solve 5*x + 5*i - 25 = 0, 4*x + p = 2*i + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*r**4 + 47*r**3 + 5*r + 12 wrt r.\nAnswer: 24*r**2 + 282*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 348220?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 352601642?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 2*q**2\/7 - 1112992*q\/7 - 16695330\/7 = 0.\nAnswer: -15, 556511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9.8 + 10. Let k be (2 + 51\/(-12))\/(-3). Which is the nearest to f?  (a) k  (b) -0.5  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 + 2. Let f be 68\/20 - r\/10. Let n(j) = j - f*j + j. Let a(u) = -u. Determine n(a(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.05 + -0.01. Let p = q + 0.26. Let x = 96 - 96.2. Sort 9, p, x.\nAnswer: x, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00009732 rounded to six decimal places?\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 16\/12*3 - 0. Let p be 2*(7 + (-20)\/(-8)). Solve n*q + f = -0*f + p, 4*q - 5*f - 1 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 - ((-19302)\/9)\/(10\/(-270)*9). Which is greater: j or -6437?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**3 + 2*a**2 - 2*a**2)*(145 - 145 - 27*a).\nAnswer: 54*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the third derivative of -t**6\/360 - t**4\/12 + t**3\/6 - t**2. Let c(d) be the first derivative of a(d). What is the first derivative of c(u) wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-1)*y*y**(4\/11) assuming y is positive.\nAnswer: y**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -17\/36, -62\/7, -1\/2, -4\/7, 2 in decreasing order.\nAnswer: 2, -17\/36, -1\/2, -4\/7, -62\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110110011100110111 (base 2) to base 11.\nAnswer: -142626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 337 - -2?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 37158 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of 20*f**4 + 29*f**2\/2 + f - 47. What is the second derivative of k(w) wrt w?\nAnswer: 480*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 9 = -7. Let w(i) = i**2 - 7*i + 7. Calculate the remainder when w(7) is divided by 15\/4 + (-2)\/k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**2 + a + 1. Suppose -m = -l - 5, -2*l = -5*m + 19 - 3. Let y(w) be the first derivative of 3*w**2\/2 + 2*w - 163. Give m*p(b) - y(b).\nAnswer: -2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:23 PM and 1:55 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 6*i**2 + 21*i + 21. Let n = 241 + -237. Let b(t) be the third derivative of -t**5\/60 - t**4\/6 - 2*t**3\/3 + 7*t**2. Calculate n*f(u) + 21*b(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - m**2 + 3)*(-14 + 5 - 37)*(2*m**2 + m**2 - 4*m**2).\nAnswer: -46*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 3*g = 32 + 37, 3*h = 3*g + 57. What is the remainder when 627 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 3*b = -24, 4*z - 5*b = 71 - 23. Let u = 12 - z. Suppose 0 = 3*i + 3 + 6, u = -2*l + 3*i + 37. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 630*k**5 + 582873*k**4 + 5293578*k**3 - 11728239*k**2 + 5241102*k + 610056 = 0.\nAnswer: -916, -111\/10, -2\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/(-2) + -4354 + -6 + 4. Is 10 a factor of (0 - -2) + u\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33127444?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2282619 or 2282347?\nAnswer: 2282347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*c + c - 7 + 13*c.\nAnswer: 14*c - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1150611090 rounded to the nearest one hundred thousand?\nAnswer: 1150600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -439500 to the nearest ten thousand.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the third derivative of -o**4\/12 - 2*o**3\/3 - 2*o**2. Let y be k(-4). Find the second derivative of y*i + 2*i**3 - i - 2*i wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/7, 18\/11, 6, 0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 + 4. Let b = r - 12.9. What is the third biggest value in -2\/3, b, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 54\/5 of a century?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**4\/6 - 6*c**3 + 71*c**2\/3 + 66*c + 217\/6.\nAnswer: (c - 31)*(c - 7)*(c + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 - -17. Suppose -2*n = 3*g + 2 + 7, 0 = 4*n - 3*g - v. Solve n = -0*x + x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 288 + -118. Let h = -27 + 44. Calculate the highest common factor of a and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2112 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-3\/7)*f**4)\/((f**9\/f)\/(f\/(f\/(f*f*f**(-5))))) assuming f is positive.\nAnswer: f**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112 + -11022202?\nAnswer: -11022020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yo when two letters picked without replacement from {y: 3, w: 1, h: 1, z: 1, o: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/138, 1.33, -3 in decreasing order.\nAnswer: 1.33, 1\/138, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xkxkkxxxxkxxxkxkxxk. What is prob of sequence xx?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5 - -1)\/4*-25. Suppose -5 = -5*j - y, 3*j = 2*i - 52. What is the smallest common multiple of i and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131618 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -98 divided by -4048\nAnswer: 49\/2024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 259 divided by 7\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, u: 2, i: 2, d: 7, j: 3}. Give prob of picking 3 d and 1 u.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 380429073 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2\/1 - (4 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -5*m**3 - 8*m**2 + 6*m + 8. Suppose 5*n - 12 = -32. List the prime factors of s(n).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 315*j**3 - 748*j**2 - 753*j**2 + 2238*j**2 - 735*j**2.\nAnswer: 315*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from swsxhbmmbbhw. Give prob of sequence bmhh.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.364 - -152.364. Let m = 152.02 - z. Let g = -2\/137 + -129\/548. What is the third smallest value in m, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -2 + 130*l + 128*l - 260*l. Let p(b) = 4 + 2*b + b + b. Let o(r) = -7*m(r) - 3*p(r). Let y(u) = 6*u + 6. Determine 14*o(c) - 5*y(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*-44.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1097172 = 160*i - 864428. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/((-25)\/(-5)))\/((-690)\/(-230))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11608.81 kilometers in meters?\nAnswer: 11608810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000010488 rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 50578528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 191 + 1419*w**2 - 959*w**2 + 1074*w**2 - 191.\nAnswer: 1534*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 89708, 179114, 268520?\nAnswer: 357926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 35601, 35583, 35565?\nAnswer: 35547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 741, 2721, 5947, 10419?\nAnswer: 16137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -3*c + 22. Let a be k(9). Let m(j) = 4*j**2 - 8*j - 7. Is m(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 97 = 2*y + 1, -5*i - 2*y = -472. Let q = 96 - i. Suppose -5*k + 13 = -p, 0*p + 2*p = -3*k. Solve q*h + 2*o + 6 = -0, -k*h - 3 = -o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*((-22842)\/(-12))\/(-81).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 18 - 50. Suppose -9*m = -g*m - 5. Find v such that 3*v + 12*v**5 - 7*v**m - 10*v**3 + 2*v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -44935*b - 134060. What is u(-3)?\nAnswer: 745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 - 4*h**2 - 6*h - 5. Let y(o) = -2*o**3 + o**2 + o - 1. Give p(b) + 4*y(b).\nAnswer: -7*b**3 - 2*b - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -14 - bd?\nAnswer: -d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -52\/35560935 and 133\/28448748.\nAnswer: 142243740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 4*j - 6*w + 56, 2*j + 3*w + 44 = 0. Suppose -5*l + 23 = -62. Let k = j + l. Solve 4*q + k = -7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s - s - s)*(294 - 8*s**4 + 2*s**4 - 293 - s**3) + 0*s**5 + 4*s**5 - s**5.\nAnswer: 9*s**5 + s**4 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 213 - (-1 - -194) - (0 + 14 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -352.72 rounded to the nearest integer?\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -60392768*j**2*u**3 + 52380*j*u**2 - 154*u**3 wrt j.\nAnswer: -120785536*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (21 + -2 - (-3 - -2)) + 83 + -83?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -336 less than 289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*w**4 - 328*w**3 + 5233*w**2 + 2146*w.\nAnswer: w*(w - 37)*(w - 29)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the third derivative of -59*p**4\/12 - p**3\/6 - 10*p**2 - 10. Differentiate n(q) with respect to q.\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 - 2*f**4)*(2*f - 1 + 1) + (3 + 2*f**3 - 3)*(2*f**2 - 2*f + 2*f + (f - 3*f + f)*(4*f - 4*f + f) - 3*f**2 - 5*f**2 - f**2).\nAnswer: -20*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -138, -140, -142, -144, -146?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**2 - 1 + 1)*(3*c**2 - 2*c**2 + c**2) + (2*c**2 + c**2 - c**2)*(-18*c**2 + c**2 - 15*c**2 + (2 + 1 - 2)*(-2*c - c**2 + 2*c)).\nAnswer: -64*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 AM and 6:23 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 253252*v = 2*q + 253251*v + 3, q - 5 + 2 = 2*v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 + 217*z - 5788. What is k(148)?\nAnswer: 4424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - -133?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2371897771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 70 and 1745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of 0*j**3 + 5\/4*j**4 + 3 - j**2 + 0*j. Find the second derivative of t(z) wrt z.\nAnswer: 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/11  (b) -0.3  (c) -8  (d) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -2*s**5\/3 - 28*s**4\/3 + 614*s**3 + 13580*s**2\/3 + 19600*s\/3 = 0.\nAnswer: -35, -5, -2, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/10 - 23\/(-46)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 14552990, 14552991, 14552992, 14552993, 14552994?\n\"Answer: y + 14552989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 5*p + 20, -2*p = p + l - 5. Suppose y + 2*k + k + 1 = p, -5*k - 13 = -4*y. Solve -5*t + 3 = -y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-180)\/(-405))\/(4\/(-18)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-14610)\/210 - -22) + (-92)\/(-161)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(32)*-1 + sqrt(32) + sqrt(32))\/(5*sqrt(4)*1).\nAnswer: 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 + 27\/(1 + 2). Let l(o) be the first derivative of o**4\/4 - 3*o**3 - 7*o**2\/2 + 12*o - 4. Calculate the lowest common multiple of l(t) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 15432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -8 - (13 - 99042\/4710). Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 88.83 + -43.83. Let f = -0.14 + 47.14. Let o = f - m. Which is the biggest value?  (a) 1  (b) o  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -36*x - 10. Let c(g) = -402*g. What is d(c(f))?\nAnswer: 14472*f - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 216*w - 187*w + 398*w + 64 = 0, -15*q = 5*w + 80 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) -2\/3  (b) -0.5  (c) 14\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*l + 2*l. Suppose -2*s - d = -l + 2, -3*s - 4 = 2*d. Let r(h) = -h**3 + h**2 - h + 5. Give r(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -59*x - 186. What is the remainder when t(-4) is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -69 - -68.881. Round b to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -202, -1454, -4816, -11344, -22094?\nAnswer: -38122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -0.5, 5, -1\/7, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61.64662 days to nanoseconds.\nAnswer: 5326267968000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -78.5 - -78. Let k = 0.1 + 0.9. Which is the nearest to -0.1?  (a) p  (b) k  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -332 - -329. Let t be 0 - (3 + -2)*3. Is t > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 120313484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 529 = -5*j + 8*j - 5*b, 0 = 3*j - 2*b - 514. Suppose -34*t = -46*t + j. Sort -5, 5, -2, t in descending order.\nAnswer: t, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes before 10:58 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 9, p: 1, d: 1, h: 3}. What is prob of sequence jhdh?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 3) + -12 + (27 - -27 - 19) + -100.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79904?\nAnswer: 2, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 5*s - 79. Let v be h(15). Let c be (45\/(-6))\/(2\/v). Solve 4*b + 4 + 0 = 0, 0 = -4*j + 3*b + c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/763224 and 29\/388080.\nAnswer: 22896720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -23.95887 to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 2*h**3. Let x be c(3). Let p = x + -37. Suppose -p*l = -12*l - 15. Solve -l*b - 19 = b + u, -5*u - 10 = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (7 - 5)*(3 + -1). Differentiate q**3 - 2*q**t - q**3 + 4 with respect to q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**2 + p. Let h be c(0). Let u(x) = -17*x - 81. Let n be u(-5). Solve 3 = y - q - h, n*y + 5*q - 12 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 179692, 420038, 660394, 900766, 1141160, 1381582?\n\"Answer: f**3 - f**2 + 240342*f - 60650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dmmdmm. Give prob of picking 1 m and 1 d.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*n**3 - 12150332*n**2 - 9226928707360*n - 27680676769200.\nAnswer: -4*(n + 3)*(n + 1518790)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 228677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 52*w - 66*w**4 + 5*w**3 - 2*w**2 - 41*w - 5*w**3 wrt w.\nAnswer: -792*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -81 + 116. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**2 - b. Let c(m) = 4*m**2 - 6*m. Calculate -2*c(j) + 12*q(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 414975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -534 = -4*s + s. Suppose -4*b = -3*b - s. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 77*n**2 - 72*n**2 - 78*n**2 + 292*n**2 - 82*n**2 + 5.\nAnswer: -17*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1322 + 2352. Suppose -1035*v = -s*v - 825. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 4 - 6 + 4. Let a be (1\/(-2)*-2)\/1. Let p be a*-14 - 2 - 2. Let x(f) = f + 18. What is p*l(c) + 2*x(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 + 4. Suppose 0 = -r*h + 2*h + 45. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -391035 * -51\nAnswer: 19942785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 144 - 26. Let b = r - -167. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3  (b) 0.5  (c) -0.007  (d) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4  (b) 1  (c) -422\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 44\/(-418) - 165\/57\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -3. Let b = 0.12 + 3.88. Let s = r + b. What is the biggest value in 0.5, s, 2\/17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 612*l + 299. What is the tens digit of y(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q + 1. Suppose -24 = v + 4*k, 2*k = -0*v - v - 14. Let y(w) = -71*w**2 + 12*w - 20. Let m(t) = v*z(t) - y(t). Is m(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 404553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -9 + 468c4c?\nAnswer: 468c43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-3*(sqrt(35)\/sqrt(28) + -1 - (sqrt(25)\/sqrt(5)*4 + 4)).\nAnswer: 75 + 105*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*a - 3 = -39*a. Let h(d) = -a*d + 0*d + 27 + 31 - 54. Calculate h(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/35572000 and -1\/32904100.\nAnswer: 1316164000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -t - v - 0*v, 4*t = -v + 41. Suppose 0 = r - t - 1. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-117)\/6*26)\/(15\/(-25)). Do -0.2 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/(-12))\/(850\/75) + (-189)\/(-17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 23 = -5*j - 5*z, -9 = 2*j + z. Which is the closest to j?  (a) -4\/7  (b) -0.5  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - 1 - (5 - 10) - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -23, 3, 221, -2, 5.\nAnswer: -23, -2, 3, 5, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.05015 + -1967.15015. What is o rounded to the nearest ten?\nAnswer: -1970","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r + 10. Let t(s) = s - 5. Give 7*t(j) + 4*z(j).\nAnswer: 3*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 23*w**4 - 6*w**3 - 28*w**2 + 6. Let x(n) = -23*n**4 + 7*n**3 + 28*n**2 - 7. Let a(z) = -7*j(z) - 6*x(z). Find the third derivative of a(t) wrt t.\nAnswer: -552*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**3 - 5*q**2 + q + 6. Let g be j(5). Let s(x) = -x + 14. Let l be s(g). Is l\/4 - 315\/(-28) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/3  (b) -1\/6  (c) 6\/5  (d) -1\/2  (e) -17  (f) 31  (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**3 + x**2 + 2*x + 2. Let g be a(-1). Suppose -h + m + 126 = g, 2*m + 14 = h - 116. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -177876 + 12?\nAnswer: -177864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 12 + 8 + (-15 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 20*d**2 - d + 6. Give x(3).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + 4*i - 3 + (3 - 2 - 2)*(2*i - i - 2*i) + 9*i - 47*i - 16*i.\nAnswer: -49*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 177400 and 12435740.\nAnswer: 124357400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -127 - -235. Let k = f - 107.96. Which is the nearest to -2?  (a) k  (b) 5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -30.58 + 28.58. Let t = 3 + -2. Let q be -1*(2 + 1)*t. Which is the second smallest value?  (a) q  (b) -5  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + (17 - (7 - 16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 6 = 2. Suppose o*p = -8 + 24. Suppose 2 = -4*b - i + 1, 4*b + 16 = -p*i. Is 2 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * -0.42\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 17*k**3 + 9*k**2 + 9*k - 9. Let w(s) = 13*s + 2*s**2 - 7*s**2 - 15*s - 4*s**3 + 2 + 3*s**2. Determine 9*w(g) + 2*z(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bxb when three letters picked without replacement from {x: 7, b: 12}.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.9, -4, -0.1, -4\/279, -1\/3, 1.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 36405502 to the power of 1\/2, to the nearest integer?\nAnswer: 6034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 7*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -2 - 1. Let m be (-1*(-3)\/n)\/4. Which is the smallest value?  (a) m  (b) 2\/5  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17 + -14. Let r(j) = j**3 - 8*j**2 + 2*j - 10. Let w be r(8). Suppose w = -3*d + x. Which is the nearest to d?  (a) 0.3  (b) -0.1  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 175649 is divided by 10332.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 661550222?\nAnswer: 2, 330775111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 4*s + 3691 = 0, 4*y - 2944 = 18*s - 19*s. What is the highest common factor of 588 and y?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - 1. Let d be ((-19 - 5445\/(-285)) + -4*(-40)\/(-76))\/(-1). Is d at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/140822 and 139\/4884?\nAnswer: 844932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 0.13, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20 + -7 - (51 - -37 - 15)) + -2?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7325.565l in millilitres?\nAnswer: 7325565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-8)\/(-6) - (-109704)\/72?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 9) to base 13\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + 6*u + 0*u)*(-1 + 1 + 1)*(-2*u**2 + 2*u**2 - 4*u**2).\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*n**2 + 162008*n - 70350628 = 0. What is n?\nAnswer: 439, 40063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -6*c + 359. Let r be 2\/(-5) - (-2)\/5. Does 21 divide f(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -358288.0799999 + 358288. Let p = -0.08 - o. Round p to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the third derivative of 3*n**7\/70 + 13*n**6\/60 - n**5\/30 - n**4\/12 - 649*n**3\/2 - 512*n**2. What is the third derivative of w(h) wrt h?\nAnswer: 216*h + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 780964217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -152.2 + 149.2. Is -74 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 123 - 120 = 0. Solve -d*w = 7*w - 40 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - 1)\/((-8)\/120). Let x = k - -15. Let r be 0 + 3\/(x - -1). Solve -4 = -4*g + 4*w, -r*g - w + 5 - 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**2 + 421265*n - 421270.\nAnswer: 5*(n - 1)*(n + 84254)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 2*g + 2*f - 3, -g + 1 = f. Let b(x) = 3*x - 3*x - 56*x**2 + 64*x**g. Let c(w) = w. Give b(c(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 8*q = 4*q + 10, 0 = -5*t + 3*q + 3. What is the closest to -1 in 0.1, t, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1371, -2792, -4215, -5640?\n\"Answer: -k**2 - 1418*k + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 6864*t - 141. What is the hundreds digit of u(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-7) + (612\/(-63) - 5). Let q(d) = -6*d. Let m(i) = 3*i. What is a*m(u) - 6*q(u)?\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -20*z**2 - 148431265*z - 37107815 = 0.\nAnswer: -7421563, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.08282 to three decimal places.\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 2*s - 19 = -3*v, 5*v = -4*s - 5. Suppose v*x - 199991 = -5*d, 3*x + 8335 = d - 31674. Round d to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 7*l**2 - 2 + l + 17874*l**3 - l - 17873*l**3. Let s(d) = d**3 + 6*d**2 - 2. Calculate -3*h(c) + 4*s(c).\nAnswer: c**3 + 3*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(108) + 0 + sqrt(108) + sqrt(108) + 2 - sqrt(108) - (2*sqrt(108) + sqrt(108))*-1) + 0)*6)**2.\nAnswer: 4320*sqrt(3) + 97344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*n**2 + 390 - 2*n - n**3 - n - 385 to w*n**3 + u*n + v + k*n**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 2*h**2 + 21*h + 11. Let t be p(-10). Let k be 105*6\/9 - (-1 - t). Calculate the highest common divisor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -b - 50, -b = -0*b + 4*o + 68. Let j = b + 98. Is (-6)\/2*(-8722)\/j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-2 + sqrt(208)*-2 + 3))**2.\nAnswer: -16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u - 1. Let f be z(3). Let w be ((-3)\/(-6))\/(f\/(-6)). Let h(g) = 7*g - 17. Let q be h(3). Is w at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a7 + -21b?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1433 + 1433.1. Which is the nearest to 2\/5?  (a) 4  (b) 7  (c) g  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**3 + x**2 - x + 1. Let i(a) = 4*a**4 + a**3 + a**2 - 6*a + 1. Let t(z) = g(z) - i(z). Find the second derivative of t(y) wrt y.\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*w - 3*w + w - 3*w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 37563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2400 is divided by 65?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 109*i + 105*i - 48*i + 134*i as l + n*i and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -4*u**3 + 2*u**2 + u + 3. Let f be a(-3). Suppose s + 3*s = 4, -274 = -3*j + 2*s. Let b = f - j. What is the highest common divisor of b and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 4 and -143.676?\nAnswer: 147.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 9 = 4*t, -4 + 10 = -3*t + 5*u. Does 20 divide 1960\/24 + (-2)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 146*q**2 - 4*q - 10. Let i(h) = 175*h**2 - 5*h - 12. Let j(u) = 5*i(u) - 6*v(u). Let t(r) = 5*r**3 - 7*r. Give 5*j(c) - t(c).\nAnswer: -5*c**3 - 5*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -2255211, -2255212, -2255213, -2255214, -2255215, -2255216?\n\"Answer: -c - 2255210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10400113 - -1?\nAnswer: 10400114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 734274 and 23052?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 16d30 (base 15) to base 10\nAnswer: 73845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2585043 (base 9) to base 4\nAnswer: 11121102123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 444*z**2 - 6*z - 11. Is f(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9744773 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -6*k. Let g = -45 - -49. Let a(f) = 3*f. Let y(m) = m. Let j(o) = g*y(o) - a(o). Calculate w(j(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that g**3\/2 - 7*g**2\/2 + 6*g = 0.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4587 (base 9) to base 12.\nAnswer: 1b74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.9 * 78.717\nAnswer: -70.8453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1.32  (b) 3.4  (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -20 + 3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 115  (b) 0.178  (c) -9\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.7 times -1.347?\nAnswer: 6.3309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*m + 2*s - 14, s + 23 - 6 = -4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**0)**(1\/37)*(u**(-1))**(-3\/19))**(-45\/4) assuming u is positive.\nAnswer: u**(-135\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1382 - 580. List the prime factors of w.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n - 3*z - 345 - 3795, 5*n + 6891 = -2*z. Let y be (-62)\/(-10) + -6 - n\/15. Calculate the highest common divisor of 161 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 - 6)\/3 - (-31 - -28). Solve m*h + 29 - 19 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -6896 = -6896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 307*d + 313*d + 85*d - 988*d + 300*d.\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16 + 30. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand f - 2*f + 0*f + f + f - 5*f + (-2 + 0 + 0)*(-11*f - 97 + 97).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from hkhyqtu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5 - 1)*(p - 3*p + 0*p)*(0*p**2 + 3*p**2 + p**2).\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -5*l**3 - 8090*l**2 + 903545*l - 1774690 = 0.\nAnswer: -1723, 2, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1401828.\nAnswer: 2, 3, 116819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 345676 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 22\/205 + 12\/41. What is the closest to p in -1\/4, -288, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14284 - 14287. Which is the closest to w?  (a) -5  (b) -4  (c) 1\/8  (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 2:34 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2401102 (base 8) to base 2.\nAnswer: 10100000001001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65) - ((sqrt(65) - (sqrt(65) + sqrt(65)*2 + sqrt(65)))*6 + sqrt(65) - sqrt(65)))\/(sqrt(20)\/(sqrt(4) - sqrt(64) - sqrt(4)) - sqrt(5)).\nAnswer: -76*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 43695 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 43489, 43495, 43509, 43537, 43585, 43659, 43765?\n\"Answer: i**3 - 2*i**2 + 5*i + 43485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of -g**4\/4 + 52*g + 46. Let a(s) be the first derivative of h(s). Let u(k) = -5*k. Determine a(u(y)).\nAnswer: -75*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -z**2 - 23*z = 0.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, -2\/33, -1, -0.4?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((6 - 7) + -6 - -4) + 10 - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (30*j**2 - 16*j**2 - 12*j**2)*(2*j**3 + 3*j**3 - 4*j**3) - 3*j**3 - 25*j**2 + 25*j**2 - 3 - j**5.\nAnswer: j**5 - 3*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -65 - -10.7?\nAnswer: -54.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-1*(sqrt(832) + -2 + -1) + 2)**2*-5 + 2.\nAnswer: -4280 + 400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2897*f - 7157*f - 2542*f.\nAnswer: -6802*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*x - 4*j + 13, 0 = 4*j + 90074 - 90042 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -28*g**2 + 2*g. Let p(r) = -101*r - 100*r - 96*r - 99*r + 388*r. Calculate k(p(m)).\nAnswer: -1792*m**2 - 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 2 r when four letters picked without replacement from {n: 3, r: 8}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from msmssmmmmmmm. Give prob of sequence sm.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.03416 - 0.83416. What is the second biggest value in 1\/3, 2, x, -2\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -102 at least -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*b*c**2 + 263470557*b*c + 91643025*c**2 wrt c.\nAnswer: -4*b + 183286050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-7 - -7)\/1)\/(-1*2). Suppose 73*i - 66*i - 462 = x. Let h = -22 - -44. Calculate the greatest common factor of i and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (31 + -64 - (-15 - (-2 + -2))) + -7?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 229276, 229273, 229268, 229261, 229252, 229241?\nAnswer: 229228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*2\/4)\/((-5)\/(3200\/(-32)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.3  (b) 0.1  (c) -3\/3388\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 - -3.4. Suppose c = 2*i + 14, 2*i - 5*i - 27 = -3*c. Let p = -0.1 - 0.3. Sort c, b, p in decreasing order.\nAnswer: c, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -892063, 10, -4, -1.\nAnswer: -892063, -4, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -0*t - 4*t + 1239, -t + p = -321. Suppose 0 = 3*s - 161 - t. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 95\/(-57)*32\/(-20)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -1\/2, 1\/3, -3, -213?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, e: 3}. Give prob of sequence eee.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 13 = -s, s + 7 = 5*c - 2*c. Suppose -3*v - 6*k = -c*k + 12, 0 = 4*v + 2*k + 18. Let t(p) = 9*p**2 - 9*p - 15. What is the hundreds digit of t(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.04903*-0.79\nAnswer: -0.0387337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -70\/9 and (150\/(-1884))\/(5 - (1 - -2)).\nAnswer: 5652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 768079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 + 29*a**2 - 50*a + 325. Determine c(-31).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (13\/(-4))\/((-1800)\/1440)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 1257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v**2 + 4*v**2 - 4*v**2 - 270*v**3.\nAnswer: -270*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**2)\/q*q*q**(-32) assuming q is positive.\nAnswer: q**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 12 = 2*s. Let k be (-1)\/(5 - (-18)\/(-3)). Suppose -s*j - k = -10. Let z(d) = 5*d. Determine z(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3522*-1358.68.\nAnswer: -478.527096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 - 2 = 6*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from ccucuu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, e: 2, v: 6, g: 1, a: 3}. What is prob of sequence vkkk?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27674.\nAnswer: 2, 101, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 + 6*j - 4. Let u(c) = -16*c + 77. Let a be u(5). Let h be s(a). Solve h*p = 3*o + 13, -6 = 2*o - p - p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 2 - 14. Let q be (10\/v)\/(4\/8). Let l(p) = -p**2 - 7*p + 8. Let u(r) = -r**2 - 8*r + 9. Let f(m) = -4*l(m) + 3*u(m). Determine f(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 6}. Give prob of picking 2 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5\/8123 - 16271\/40615. What is the biggest value in o, -13, -0.0542?\nAnswer: -0.0542","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*v = -9*v + y - 2, -3*v + 2*y = -10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33398 (base 10) to base 9.\nAnswer: 50728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136*b - 8 = -134*b + 2*d, 2*b = d + 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 2547557418 to the nearest one hundred thousand.\nAnswer: 2547600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/((-27)\/(-6) + -3 + 0). Find the second derivative of -29*l**w - 22*l**5 + 29*l**4 - 3*l - 8*l**5 wrt l.\nAnswer: -600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7)\/(-3) + -1 - 1. Let s be (-1)\/(2*(-3)\/12). Suppose 0 = s*l + 2*t, 5*l - 2*t + 17 = -4. What is the third smallest value in l, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 65\/(-20) + 3 - (-101)\/4. Let y = i + -25. Suppose -2*t + 4*m + 8 = 0, y*t + 4*m = -2*t. Solve 0 = q + t + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-96)\/(-120))\/(182\/35)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.0671 + 0.0329. What is the closest to -3 in 0, h, 5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -29 + 17. Let m be (l\/9)\/((-2)\/18). List the prime factors of ((-2)\/6)\/(10\/m - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39064765?\nAnswer: 5, 7812953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zezzeqqmmqzqwzqe. Give prob of picking 1 m, 1 e, and 1 z.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -85\/616 and 103\/7106?\nAnswer: 198968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8429600 and 12644400.\nAnswer: 25288800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 127*i**2 + 13*i + 7. Let j(g) = 12*g**2 + g. What is 22*j(v) - 2*o(v)?\nAnswer: 10*v**2 - 4*v - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 270\/(-75) + 4 - (-28)\/(-45).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 739341?\nAnswer: 3, 139, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l = -4*y + 44, 5*l - 72 = y - 65 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 444835789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + m - 15 = 0. Let g = -0.28 + -0.72. What is the closest to g in -3, m, -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-200)\/(-210) - (-4)\/(-6). Let x = -410 + 257. Let a = x + 1073\/7. What is the closest to r in 3\/2, -3\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 + 5*n**2 - 14*n - 13. What is m(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d + 195 = 643. Suppose 15*w = w + d. Solve p - 3*p = w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6\/19 + 9\/152. Let i = -27311\/3 - -9105. Put n, -5, i, 26 in increasing order.\nAnswer: -5, n, i, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.357 + 0.157. Sort n, -0.5, -0.06, 2\/9 in ascending order.\nAnswer: -0.5, n, -0.06, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggxwpgx. What is prob of sequence gwp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -52, -59, -86, -145, -248?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1129  (b) -4  (c) -1\/9  (d) 0.1  (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 977405916?\nAnswer: 2, 3, 67, 1215679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9105842ng in grams?\nAnswer: 0.0000000009105842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**2 - 9*x + 19. Let k be ((28\/98)\/(35\/(-98)))\/(4\/50). Give l(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 48 + -38. Suppose 11*d - 16*d + q = 0. Which is the closest to -2\/7?  (a) -5  (b) d  (c) 12\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 29*y**3 - 2*y**2 + 10*y**3 - 7*y**2 - 2*y + 28 - 37*y**3 in the form u + b*y**3 + q*y + c*y**2 and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + 2. Suppose -f*b + 5*b - 6 = 0. Are b and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -260?\nAnswer: 25b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*u + 10*u + 98. Calculate the remainder when 65 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand m**3 + 0*m**3 - 4*m**3 + 180*m - 9*m**3 - 180*m + 0*m**3 - 3*m**3 + m**3 + (0*m - 2*m + m)*(m - m + m**2) + 0*m**3 + 2*m**3 + 0*m**3.\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a + 2*a - 21*a + 9*a + 10*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 29667184033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 20 = -0*s. Let g(f) = 44*f**2 - 16*f - 58. Let t be g(-4). Suppose 74 = -s*v + t. Is 53 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -44, -1, 2, -2, 3 in decreasing order.\nAnswer: 3, 2, -1, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 51000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 140327075 a multiple of 295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -30, -24, -22, -30, -54, -100, -174, -282?\n\"Answer: -b**3 + 4*b**2 + b - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.363653 rounded to 3 dps?\nAnswer: 1.364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, 5\/2, -1.1, -551951 in descending order.\nAnswer: 5\/2, -1\/2, -1.1, -551951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1065, 2129, 3181, 4215, 5225, 6205?\n\"Answer: -w**3 + 1071*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/(-23))\/((39655\/(-462))\/(-103)).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + -1. What is the smallest common multiple of (2 + (-7)\/(-2))*z and (-1 + 0 - -7)\/((1369\/74)\/37)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2660240827?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the third derivative of f**5\/100 - 9*f**4\/2 + 810*f**3 - 80*f**2 - 1. Let u(z) = 0. Calculate z.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/((a**(-1)\/a)\/a))\/a**(-22)*(a\/a**3)\/(a\/((a**(-1\/3)*a*a)\/a)*a) assuming a is positive.\nAnswer: a**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32, 78, 136, 206, 288, 382?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -14*b**2. Let t(y) = -2*y**2 + 18. Calculate z(t(v)).\nAnswer: -56*v**4 + 1008*v**2 - 4536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.41 - -0.01. What is the second biggest value in 3, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 894 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 342 and 264879.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-43260)\/(-4326)*(13\/(-14) - -1)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 80062659 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/5, 1, -2\/7, 211 in ascending order.\nAnswer: -2\/7, 1\/5, 1, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 49 + -108. Let h = -103 - w. Let k = -39 - h. What is the highest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 + (-14)\/12*2. Let m = -1.35 + 0.25. Let w = m - -0.8. Which is the nearest to 1?  (a) n  (b) -1\/5  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -5*g + 11, 5 = 4*g - x - 2*x. Suppose 119 = -g*a + 135. Factor a*d - 3*d**2 - 8 + 6*d**2 - 7*d**2 + 4.\nAnswer: -4*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the third derivative of 0*i + 195*i**2 + 1\/15*i**6 + 0*i**5 - 1\/24*i**4 + 0 - 19\/2*i**3. Differentiate b(r) wrt r.\nAnswer: 24*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 5296, -557 in ascending order.\nAnswer: -557, -5, 5296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.001, -9, 0.2, -0.3 in descending order.\nAnswer: 0.2, -0.001, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ftkmtkskftttt. What is prob of picking 1 s and 1 f?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.1 - -0.4. Suppose r + 31 = -h, -3*r - 4 - 8 = 0. Let s be 2\/(-9) + 129\/h. Which is the smallest value?  (a) -0.1  (b) l  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -1\/8  (b) -0.16  (c) 7\/3  (d) 30  (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 + 13*x**2 + 9*x - 17. Let l be v(-12). Suppose -2*w + 27 = l. Suppose h = w*h - 18. What is the lowest common multiple of 22 and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -3*z + 18. Let d be w(6). Sort 1, -4, d in descending order.\nAnswer: 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 9*a + 9. Let b(t) = -5*t - 5. Let q(l) = -5*b(l) - 3*z(l). Let d(c) = -c - 1. Let j(i) = -5*d(i) + q(i). What is the derivative of j(r) wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dnz when three letters picked without replacement from {a: 2, n: 1, z: 1, p: 1, u: 1, d: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 + 9*u**2 - 3*u + 1. Let l be q(-5). Suppose -s = -l + 15. What are the prime factors of s?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 27 = -5*c - 9, -6 = -c - 2*a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -7614868.\nAnswer: -1\/1903717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 - -11. Let u = -2 + g. Which is the closest to 0?  (a) 1\/6  (b) u  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 78 = -4*r. Let l(i) = 2*i**2 + 8*i - 11. Let t be l(-6). What is the highest common factor of r and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 15\/(-9)*-6*((-18)\/(-6))\/30. Let f(m) = 41*m**3 - 4*m**2 + 2. Give f(p).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:42 AM and 6:35 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**1)**(-1\/25)\/((f*f**(-2\/7))\/f**(-5)))\/((f\/(f\/(f*f\/((f\/(f**(-2\/3)\/f))\/f)*f)))**(-3\/29)*(f**(-1)\/f)**4) assuming f is positive.\nAnswer: f**(12097\/5075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*v = -73*v + 140 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3.77 and 4?\nAnswer: 15.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 2\/5*j**3 + 216\/5 - 4*j**2 - 6\/5*j = 0. Calculate j.\nAnswer: -3, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/(-2)*(-2 + -5 - -1). Let n = 5\/127 - 5232\/635. Is n >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 2\/2387, -3\/10, -1\/3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16 - -9. Let x = -12 - -10. Let t = x - r. Solve 0 = 3*s + t*w + 1, -s + 3*w = 4*s - 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, -37, -5, 3 in decreasing order.\nAnswer: 4, 3, 2, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 41*p**2 + p + 1. Determine a(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 296745*o**2*t**2 + t**2 + 1862*t - 4 wrt o?\nAnswer: 593490*o*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9212147 and 3948063?\nAnswer: 27636441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the first derivative of -a**2 - 3*a - 7. Let p be c(-3). Suppose -24*t + p = -21*t. Calculate the smallest common multiple of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1768634 is divided by 397?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-642)\/(-107))\/((-12)\/10)*9.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4394706 to the nearest integer?\nAnswer: 2096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (56\/(-20))\/(-14)*-5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 13) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17 + 19. Suppose 82 = -m*j + u, 223 = 2*j - 7*j - 2*u. Let d = j - -52. Let h(k) = -k**3 + 9*k**2 - k + 8. Determine h(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*x - 10*x - 9 = 0. Suppose 0 = -5*n - x*w + 15, 0*w + 15 = 3*w. Solve n = -2*z - 3*z + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 31 and 48189035?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 7*s**3 - 8. Let z(u) = 6*u**3 + u**2 - 7. Suppose 0 = 5*w - 7*f + 9*f + 25, -3*w + 5*f - 15 = 0. Calculate w*p(k) + 6*z(k).\nAnswer: k**3 + 6*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -22, -5, -1, 27390 in ascending order.\nAnswer: -22, -5, -1, 27390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/6 and 95\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 341.3.\nAnswer: -342.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -9, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*d + 5029 = 49*d. Sort -5, d, -1, -2.\nAnswer: -5, -2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the first derivative of i**6\/39 + 8*i**5\/65 + i**4\/26 - 20*i**3\/39 - 4*i**2\/13 + 16*i\/13 - 6. Suppose k(o) = 0. What is o?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*q**2 - 12*q**2 + 4*q**2 + 3 - 5 to k + x*q**2 + p*q and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -8. Let l(w) = w**3 + 9*w**2 - 24*w + 6. Let s be l(-11). What is the second derivative of s*v**t + 68*v - 9*v - 35*v wrt v?\nAnswer: 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 7*w**2 - 16254*w - 2*w**2 - 16307*w + 32453*w.\nAnswer: 5*w**2 - 108*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -41174*v**2 - 7208*v wrt v.\nAnswer: -82348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - 38 - -14) + (-1 - 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 98 a factor of 6076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0\/(-23))\/(7\/((-21)\/(-6))). Which is the nearest to 1\/12?  (a) 4\/9  (b) s  (c) -5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3538, -28636, -96790, -229528, -448378, -774868, -1230526?\nAnswer: -1836880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(-1))**(2\/97)*(q\/q**(-7))\/(q*q\/((q*q*q**9*q)\/q)*q) assuming q is positive.\nAnswer: q**(1556\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l + 5. Let z(f) = 1223567*f + 2. What is b(z(m))?\nAnswer: 1223567*m + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 626 divide 20990310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/896400 and -133\/237546?\nAnswer: 47509200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*i - 523 = -451 - 725480. Is i a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 2  (b) -1\/576  (c) 23\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13866, 27750, 41638, 55524, 69402, 83266, 97110, 110928?\nAnswer: 124714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/(-22) + (-568)\/(-22) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 5*w - 465, z + 139 = -2*w + 372. Let g = 389 - z. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*q = 22*q + 12. Suppose -5*g - q*r = -61, g - 4*r + 0*r = -7. Put 5, 0, g in decreasing order.\nAnswer: g, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-45)\/60)\/(9\/(-16))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -82 - -327\/4. Let d = -1236 - -1233. Which is the closest to -1\/2?  (a) h  (b) d  (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, x: 6, b: 3, s: 1, e: 4}. Give prob of sequence exse.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001351783 rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.3 and 3088 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -4098*n + 16395. Determine b(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ifji when four letters picked without replacement from {u: 7, f: 6, i: 3, j: 1}?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -4280000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 420976.\nAnswer: 2, 83, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 3*d + 38 = 0, 65 = 941*y - 948*y + 6*d for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 3*y - 166 = 0. Let t(i) = i**2 + 17*i + 81. What is the remainder when y is divided by t(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pypppppp. Give prob of picking 4 p.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*h**3 - 2*h**2 + 28208*h - 14100*h + 2*h**2 - 14108*h.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -2*s**3 - 57*s**2 + 90*s + 8. What is the least common multiple of 6\/4*4\/3 and l(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*v**4 + 5*v**3 - 5*v**3 + (-3 + 3 - v**2)*(v**2 + 4*v**2 - 3*v**2).\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 195 = -2*f, 2*z + 249 = 2*f + 63. Suppose 0*v + 5*v - 4*j - 99 = 0, -5*v = -j - f. Suppose 0 = 2*q - v + 1. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 751 + -2920339\nAnswer: -2919588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11897\/24 or 496?\nAnswer: 11897\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -7*x**2 + 2*x. Let f be 0 + 6 + 6\/(-3). Let w(y) = -2*y + f*y**2 + 0 + y + 0. Calculate 3*j(b) + 5*w(b).\nAnswer: -b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -5*l**3 + 3*l**2 - 8. Let s(q) = 9*q**3 - 5*q**2 + 16. Determine 5*m(i) + 3*s(i).\nAnswer: 2*i**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wuf when three letters picked without replacement from wmwufwwwnfnnfwfnuwyu?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 - 6*q - 3. Let t = -9 + 14. Let d(m) = m**2 - 7*m + 6. Let b be d(t). Let k be c(b). Solve -k*g = -13 + 28 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) -9  (c) -0.5  (d) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g - 4. Let y be x(-6). Let a = 4 - y. Suppose 124 = 3*n + l + 4*l, a*l - 118 = -3*n. Is n a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1 - 13) + 6 - -8) + (25 - -4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-37)*n**(15\/8))\/(n**(-27)\/(n\/((n\/((n*n*n\/(n*n**(1\/21)\/n))\/n*n))\/n))) assuming n is positive.\nAnswer: n**(-701\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3083 is divided by 815?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 3 - 4 - (-7 + 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 57 - 121 + 3*u**3 + 2*u**3 - 11*u + 68 as t*u**3 + g + f*u + n*u**2 and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 3  (b) 4  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2378138*a - 2378163*a = -100 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m**3 - 2*m**3 + m**3)*(3*m**2 - 3*m**2 - 4*m**2) + m**2 + 2*m**5 - m**2.\nAnswer: 18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2418160 divided by 2672.\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16431 - 2521*u + 16431 to c + x*u and give x.\nAnswer: -2521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -304 - 29*w + 619 - 306 - 27*w to the form z*w + k and give z.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 0*i = 2*i - 7, -3*i + 3 = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 159.8, 0.3, 9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(6)*6)\/((-1*sqrt(4))\/sqrt(2)))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/9 in -1, -3, 27\/7, 3\/2, 2\/9, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -17*j - 420. What is f(-19)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 4*q + 6 - 18, -2*l - 5*q = -6. Let w be (-5)\/(-10)*(l - -6). Solve n = -w*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 9*n + 2 - 11*n - 2. Let v(t) = -8*t + 3. Let g(o) = -40*o + 16. Let h(r) = -3*g(r) + 16*v(r). Calculate h(p(f)).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 187 a factor of 18638349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13707 - -13756. Put 17, p, 2 in decreasing order.\nAnswer: p, 17, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -26*f + 48. Let n(v) = 5*v - 9. Let c(a) = 3*j(a) + 16*n(a). Let b(d) be the third derivative of -d**4\/6 - d**2. What is b(c(p))?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 61536 and 480?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(3\/5)*c*c**0*(c**(-1))**(-10\/11)*(c\/(c*c\/(c*c**(1\/4)))*c*c**(1\/5))\/(c**(1\/2)\/c**(-3)) assuming c is positive.\nAnswer: c**(101\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(-2\/7))**(2\/87))**21*(j**3\/j)\/j*j*j**(1\/2)*j*j**(2\/5)*j**(3\/2) assuming j is positive.\nAnswer: j**(833\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2133424+0.3\nAnswer: -2133423.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1399*o - 252*o + 875 - 223*o - 430*o wrt o?\nAnswer: 494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 32, 1, -4, 75 in decreasing order.\nAnswer: 75, 32, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o + 13446 + 13521 - 26967.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 75.12382ml in litres?\nAnswer: 0.07512382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 45, 0.2, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -218*x**6 - 27*x**6 - 26*x**2 + 25*x**2 + 14*x**2 wrt x?\nAnswer: -29400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/6*2 + 3)\/(-6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*x = o + 12*x + 4, 4*o - 3*x + 15 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 482, 983, 1484?\nAnswer: 1985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1212914 = 2*t + 1212906 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3099*b = 3085*b - 420 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 4 - 4. Let 0*x + 2\/5*x**2 + s = 0. What is x?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-13) - 10\/130*-15. Which is the nearest to w?  (a) -5  (b) -1\/11  (c) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qsqnnsqnnnnnnqqqqqq. What is prob of picking 1 n and 2 q?\nAnswer: 96\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -56 - -37. Let z = -36 - -35.5. Put z, 0.3, x in decreasing order.\nAnswer: 0.3, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 182153 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7755941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 40 = 3*x + 1, 0 = 3*w - x - 77. Suppose y - 5*q = w, -4*q = -3*y + 48 + 11. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21544 is divided by 369.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are -41882712 and -41882712 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -10916 not equal to 1\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 2*x = -2*q + 48, -3*q + 5*x = -23. Solve q*j - 35 = 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/((i*i*(i*i**(-1\/4))\/i*i)\/i*i))**(-1\/5)\/(i**(-4\/15)*i*(i\/i**(2\/7))\/i) assuming i is positive.\nAnswer: i**(-41\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 + 30*r - 220. Determine p(19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*c - 43*c + 120*c - 37*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 7656\/(-6)*(1 + -2). Suppose 16*j - s = 12*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, 0, 1, 0.2, 2, -0.235?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do 710 and -11473 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 66509\/3 or 22171?\nAnswer: 22171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 52?  (a) -157  (b) -0.17  (c) 3  (d) -4  (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 19907 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -26561*o + 106248. Let n be m(4). Factor -22\/3*a**3 - 28*a**2 + n*a**4 + 0 - 1\/3*a**5 - 49\/3*a.\nAnswer: -a*(a - 7)**2*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1320, -2347, -3372, -4395?\n\"Answer: p**2 - 1030*p - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 359756*y**3 + 401998 wrt y?\nAnswer: 1079268*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -2*q**2 + 3*q + 3. Suppose -4*g + 296 = 112. Suppose 0 = r + 5, -4*r - g + 18 = -2*v. Give h(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40618950 a multiple of 1587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 1269*k + 16. Let u be o(3). Suppose u = -3*g + 11164. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-9 + -2)\/(-1) + 723 is divided by 176?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 2*f**3 + f**2 + f + 19. Let i be x(0). Calculate the greatest common factor of 209 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1983014 - 5.\nAnswer: 1983009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + (-1710003)\/3 - -2. What is a rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3985 + 3985 - h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r + 7 + 19. Suppose 6*d - 4*d + 4*l = r, d - 1 = 4*l. Suppose -3*c = -2*c - d. Solve 3*n - c = f, 0*f - 12 = -4*n - f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-12)\/(-1)*1\/2. Let z be (g\/9)\/((-2)\/3). Which is greater: -6\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -205 + 90 + 345 + 403 - 27*f.\nAnswer: -27*f + 633","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**3 + 2*j**2.\nAnswer: 2*j**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1215?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14)\/((-1*sqrt(847) - sqrt(847)) + sqrt(7)))**2.\nAnswer: 2\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -24 - -24. Suppose 5*z - 121 = -4*g - 45, 2*g - z = 24. Let q = l + g. Calculate the greatest common divisor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -156*q - 9. What is c(-1)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -302*d**2 + 904*d + 6. Let u be a(3). Let x = 14\/235 + -11393\/187295. Is u greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12677?\nAnswer: 7, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -435 = -5*o - 0*o. Suppose c - o = 3*z, -c - z + 95 = -0*c. Let d = c - 54. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 532716 a multiple of 618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 3  (b) 0.2  (c) -0.5  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 135.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*i - 9*i = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 111 - 25 = 0. What is the highest common factor of 34 and t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.937278746 to 2 decimal places.\nAnswer: 0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 - (6 + 2 + (-5 - -5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/139, 3\/7, 0.5, 59, 613, 1 in increasing order.\nAnswer: 2\/139, 3\/7, 0.5, 1, 59, 613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -31*h**3 - 3*h**2 - 2*h. Let z be x(-3). What is the tens digit of z\/8 + (-4)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9 is divided by 4\/(12 + 0)*9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -0 - 10. Suppose 0 = -4*s - q*o - 1, 0*s + 2*s = -o + 1. Suppose 0*r + 3*r + 27 = 3*z, -z = s. Which is greater: r or -11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2548 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*m**2 + 15\/2*m**3 + 19\/2*m + 1 = 0. What is m?\nAnswer: -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4231016 + 4231015 - 12693051 + 4231020 + 22*r.\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 482672 and 23058784.\nAnswer: 4976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -405392169249412.7000034 + 405392207566503. Let c = 38317094 - u. Let f = -3.7 + c. What is f rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 7 - 6)*(4 - w - 4)*(15*w**2 - 15*w**2 - 7*w**3 + (-2 + 2 - w)*(-w + w - 2*w**2)).\nAnswer: -55*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*c - 25 = -1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 38*k*s**4 - k*s**3 + 4*k*s**2 - 51*s**4 + 2*s**3 - 19050*s wrt s?\nAnswer: 912*k*s - 6*k - 1224*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-3)*(1 - (-20)\/(-26)). Which is the fourth biggest value?  (a) -0.2  (b) 12  (c) w  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 498 + -9.527868.\nAnswer: 488.472132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 + -7)*((-12)\/(-2) + -9). Let u = -14 + w. Suppose 4*g = -u*g + 198. Calculate the greatest common factor of g and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1532167*t**3 - 320677?\nAnswer: -4596501*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -77*p**3 + 16*p**2 + 12. Let d(v) = -15*v**3 + 3*v**2 + 2. Calculate -22*d(i) + 4*s(i).\nAnswer: 22*i**3 - 2*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2\/3 + 19957*m\/2 + 14967\/2.\nAnswer: (m + 14967)*(4*m + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 2*s**3 - 19*s**2 - 12*s + 22. Let r be m(10). Suppose -5*j = -r*c - 194, 5*j = 2*c + c + 191. Let k = -17 + j. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -151, -126, -85, -28, 45, 134?\n\"Answer: 8*w**2 + w - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 117425 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 563.5081l in millilitres?\nAnswer: 563508.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * -0.259119.\nAnswer: -0.0259119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jsssrrrssajkaqksajs. Give prob of sequence ss.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 61\/12 - 21\/4. Suppose 3*p + 1 = -2. Are p and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/54 and 101\/6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*(1810\/(-5))\/(-2). Which is smaller: x or -180?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 52, 2\/19, 3, 4\/27, -2\/11 in increasing order.\nAnswer: -2\/11, 2\/19, 4\/27, 3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkwwkw. What is prob of picking 2 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1059\/4 + 272. Which is smaller: c or 8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 6*t - 2*x - 166 = 0, -4*t - 3*x - 130 = 0. Let p = -8 - t. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2725515 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3470 - -3482. Let k = -7 - 23. Let o be k\/(-8)*112\/21. What is the greatest common divisor of g and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = 2*f. Let i(k) = k + 13. Determine i(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2817643?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*y - 4376 = 37*y + 2*m, 2*m - 10919 = -5*y. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.32 and -65.\nAnswer: -20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -41, -76, -111, -146, -181, -216?\n\"Answer: -35*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100000 + -11001011010?\nAnswer: -11011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 312 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 948033 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*r + c + 10, -2*r - 2*c - 22 = -26 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 - 530*h**2 - 3075*h - 2201958. Determine r(-532).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3868019?\nAnswer: 3868019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (-9)\/(-5)*320\/96?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**2. Let v(b) = -6*b + 5. Let o(w) be the second derivative of w**3\/2 - w**2 - 6*w. Let y = 15 + -10. Let d(p) = y*o(p) + 2*v(p). Calculate s(d(i)).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 42*f - 14 + 2 + 12 as x*f + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1374 and 33.\nAnswer: 15114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c**2 - 4496*c - 1263376 = 0.\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 10*v**3 + 15*v**2 + 15*v. Let b(j) = 5*j**3 + 10*j**3 + j**2 + j - 11*j**3 - 3*j**3. Determine -15*b(m) + o(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 567010?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24476 + -24290. Calculate the highest common factor of s and 558.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**2 - 6*g + 2. Suppose p - 28 = 2. Suppose 6*k - k - p = 0. Is v(k) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*t - 1 - 83*t + 1 + 45*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 + 9*p**2 + 9*p + 12. Let b be r(-8). Suppose -b*o + 12 = -20. Suppose 0 = -17*c + 30 + 4. Put 3, c, o in ascending order.\nAnswer: c, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19451691 to the nearest integer?\nAnswer: 4410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*b**3 + 23*b**2 - 23*b**2 + (-2*b + 1 - 1)*(4*b - 4*b + 3*b**2))*(-509*b**2 + 76*b**2 + 256*b**2).\nAnswer: -354*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 23288 and 260.\nAnswer: 1513720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6820 and 17380.\nAnswer: 538780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, v: 2, c: 1, t: 1, o: 1, n: 2}. What is prob of picking 1 n and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -v + 13, -3*p - 7 - 19 = -4*v. Let d = -10 - -4. Are p and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 0 + (-8 + 1222 - 3).\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(931) - ((sqrt(931) + 1)*-4 + sqrt(931) - sqrt(931))) + (sqrt(931) + sqrt(931) + 1)*-5 + 2)**2.\nAnswer: -70*sqrt(19) + 23276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16033533 and 799?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-48)\/(-28) + 2 - 4. Which is smaller: -23 or s?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of i*p**2 + 4*i*p*z + 3*i*p - 48*p**2 + p*z wrt i.\nAnswer: p**2 + 4*p*z + 3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/1*(-4 + 80\/15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 137926882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 - 4. Let x be 4\/v*54\/12. Let d be x\/(4 - 68\/8). Is 4 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 - 20 - (-1 - -3)) + 7 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*u + 672 = 18*u. Let o be 32*(468\/u + (-2)\/7). Suppose o*z - 84*z + 64 = 0. What is the highest common factor of z and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 157 = -767. Suppose -3*r = 5*o - 100, o + 164*r = 167*r - 16. Calculate the greatest common divisor of o and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 23 = -22. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-52)\/(-14) - (-4)\/14. Let b be 0*(11\/22 + -2 + 1). Suppose s*h - 481 = -b*h - c, -2*c = -2*h + 238. Does 24 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 2 = 5*h, 10 = 5*o - 2*h - 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/4)*h*h)**(1\/71)*h**17*h**(1\/5) assuming h is positive.\nAnswer: h**(24469\/1420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes before 11:09 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -357*z - 115 = -356*z. Let i = -112 - z. Let l(v) = 2*v**2 - v + 3. Let q(p) = -4*p**2 + p - 5. What is i*q(n) + 5*l(n)?\nAnswer: -2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -96637 divided by 135.\nAnswer: -96637\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*t**3 - 18*t**3 - 18*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 17\/30 + (-8)\/20. Let q = -11 + 11. Which is smaller: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-201 + 188)*((-38)\/26 + 1). Solve -4*w + 5*n - 12 = 0, 7*w - 5*n + 3 = q*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b7f (base 16) to base 9.\nAnswer: -4030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o. Let a(s) be the third derivative of -s**7\/1260 + s**4\/24 + 4*s**2. Let z(l) be the second derivative of a(l). Calculate z(i(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of -2*d**4\/3 - 7*d**3\/6 - 5*d. What is the second derivative of x(h) wrt h?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4806*m - 2494*m - 2511*m.\nAnswer: -199*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -123*80\/(-12)*(-1 - -2). Suppose 2*l = -2*d + h, -2*l - d + 720 = -98. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1453671 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (((-34220)\/(-87))\/(-59))\/((-192)\/54 + 4)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 13580061.442218?\nAnswer: 13580057.442218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 6*r + 7*r - 41 = 0, -r + 121 = 3*y. Solve 5*b = 5*h - y, -h - 4 = 4*b + 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k, x + 3*k + 4 - 32 = 0. Calculate the remainder when 48 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -132 - -23?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(192) + (sqrt(192) - ((sqrt(192) - -1*sqrt(192)) + 5))**2).\nAnswer: -1085 - 440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -95.97 - -96. Let d = -16.27 - -0.27. Let k = 14 + d. Is n > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 9\/10 of a minute?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(-16) - 243\/(-12). Suppose m = -2*h + 2*c, 0 = 5*h - 2*c - c + 56. Is h greater than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ngnnqnnnqngnnn. Give prob of sequence qgq.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, n: 1, t: 1, c: 1, y: 1}. What is prob of picking 4 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -4*l + 51 + 43, 4*b + 8 = 0. Calculate the remainder when 85 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3187419.\nAnswer: 3, 29, 36637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 405f70 + -3?\nAnswer: 405f6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 212783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1014667.\nAnswer: 571, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 PM and 5:35 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6462214 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**4*l\/(l\/(l*l**(-1\/15)*l))*l)**(-15)*((l\/(l*l**(-1\/5)*l))\/l)\/(l\/(l**(3\/5)*l))*l**(-2\/5)*l\/((l\/(l*l*l**(-1\/7)))\/l)*l assuming l is positive.\nAnswer: l**(-3561\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 33974648.7 to the nearest one thousand.\nAnswer: 33975000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/((r*r**9\/r)\/r))*r**(1\/6)*(r**(1\/10)*r)\/(r\/r**(3\/5)))**(-3) assuming r is positive.\nAnswer: r**(-133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -434 (base 7) to base 11\nAnswer: -191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 7 = -23. Let q be (-86)\/i - 46\/(-115). Calculate the highest common divisor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/12 and ((-11)\/16 - 1)\/(2\/(-6))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from akkkkzkkkkzkkykzkyrj. Give prob of sequence rz.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19942 + -14590. List the prime factors of b.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from ummu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9241825ml in litres?\nAnswer: 0.0009241825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 4*o - 6*o - 20, -60 = -3*q + o. Is q\/130 - 1883\/(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*g + 27*g + 13 = 178 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 170387 at least as big as 170111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, 3, 0.1, 1\/8, 60, -3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(((-8)\/(-4))\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 9*w**3 - 6*w**2 + 20*w + 6. Let z(i) = -10*i**3 + 7*i**2 - 22*i - 7. Give -7*g(v) - 6*z(v).\nAnswer: -3*v**3 - 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(-1\/4))**(-39)\/(l**(2\/3))**44 assuming l is positive.\nAnswer: l**(-937\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes before 10:58 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11?  (a) -41  (b) 3\/2  (c) 0.79  (d) 6\/7  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*c*d*z - 2*c*z + 100*d*z + 2*d + 4*z - 503 with respect to d.\nAnswer: -3*c*z + 100*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x + 49870 + 26630. Round x to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 - 2*k**2 + 2*k - 1. Let h be b(-2). Let q = 8 + h. What is the remainder when 5*7\/((-105)\/(-18)) is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94993*b**3 + 15*b + 94994*b**3 - 15*b.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -3 + 6 + (-4 - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 24, 106, 248, 456, 736, 1094, 1536, 2068?\nAnswer: 2696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 18957*r**2 + 19619?\nAnswer: 37914*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 67983, 3, 7 in ascending order.\nAnswer: 2, 3, 7, 67983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**2 - 112*t + 40. Calculate the least common multiple of 1572 and j(0).\nAnswer: 15720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/8)\/((-5603)\/(-2586)).\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the first derivative of 0*h + 1\/5*h**5 - 59 + 0*h**2 + 1\/4*h**4 - 10*h**3. Find the third derivative of o(i) wrt i.\nAnswer: 24*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 - ((-16 - 24) + 22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 165817963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z - 8. Let q be h(-11). Let s(p) = -p**2 - 2*p + 2. Let v(x) = 3*x**2 + 5*x - 3. Give q*v(r) + 7*s(r).\nAnswer: 2*r**2 + r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 19809 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -103, -347, -729, -1249?\nAnswer: -1907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + (0 - 2) + -22 + 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -65380 by 6538.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*z**4 - 6*z**4 + 5*z**4)*(18*z - 48*z - 22*z).\nAnswer: -260*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001566 rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-677 - 641 + 1209 + (-2 - 3 + 3)*(3 - 1 + 0) + 2 - 1 - 4)*(6*n + 2 - 9 - 4*n).\nAnswer: -232*n + 812","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 - 2*k + 1. Let v(b) = -b**2 - 1. Let l(z) = 2*j(z) - v(z). Suppose 11*y + 80 = 652. Let h = -58 + y. What is l(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 3*o = -p - 2, -6 = -5*p - o. Solve 0 = -2*f + 5*n - p*n - 5, -3*f = 5*n - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*x + 21*x**4 - 2*x**4 + 6*x + (2*x + 6 - 6)*(0*x**3 + 2*x**3 - x**3).\nAnswer: 21*x**4 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2.304, -2, 2.\nAnswer: -2.304, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23 - (16 + -14) - 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**34*l**(-1\/3))\/(l*l\/l**(-13)*l*l*l**(-1\/11)))**(-22) assuming l is positive.\nAnswer: l**(-1106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0008138476 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 68721?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(2057) + (sqrt(2057) - 6*(sqrt(2057)*-1 + sqrt(2057))) + (sqrt(2057) + -2 + sqrt(2057))*4)**2.\nAnswer: -880*sqrt(17) + 205716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**(-3\/2)\/((x\/((x\/(x\/(x*x**(-23))))\/x))\/x))**(-1))**(-1\/12))**(-2\/3) assuming x is positive.\nAnswer: x**(49\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the third derivative of -j**4\/24 + j**3\/6 - j**2. Let q be x(-6). Solve 5*u - q = 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.41 and 0.09055682?\nAnswer: 0.0371282962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 16052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*1114\/(-10) - 2\/5. Suppose 3*o - 7 = -4, -3*a + 5*o + 325 = 0. Does a = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 595816, 595819, 595822, 595825, 595828, 595831?\nAnswer: 595834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**2 - 3*p - 3. Let y(i) = 40*i + 48. Let n be y(-1). Determine t(n).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gkgxgoggggoxgggggog. Give prob of picking 1 x and 1 k.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -4*b - 10. Determine i(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 65 and 57292326?\nAnswer: 286461630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1706 + -1688. Let g(n) = n + 6. Let z be g(0). Suppose 0 + t = z*r. Solve -r*y - 12 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 8:36 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v. Let k(c) be the first derivative of 7*c**4\/6 - 13*c - 9. Let y(s) be the first derivative of k(s). Give o(y(l)).\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.6 in 2\/11, -49, 11\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -448?\nAnswer: 89.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**2 - 3*i - 2. Let w be d(4). Suppose -w*t - 4*h + 8 = -26, -25 = -5*h. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 168803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**3 + 22*c**2 + 21*c + 16. What is the least common multiple of i(-21) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -197\/87120 and 15\/32.\nAnswer: 174240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/231 and 8\/6451347.\nAnswer: 70964817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2029 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4498988766.\nAnswer: 2, 3, 17, 1187, 37159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 10) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*c + 6*c = 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -85*o - 36*o + 475 + 1219 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*h**5 - 408*h**4 + 8270*h**3 + 25572*h**2 + 14960*h = 0. What is h?\nAnswer: -55, -2, -4\/5, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 3*q + 6*d + 8, 5*q = 3*d + 6. Suppose q*j + 5*j = 5*w + 25, 0 = 4*w. Calculate the remainder when 18 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-10680)\/(-4))\/((-3)\/2). Let k = h - -5269\/3. Let j = k - -24. Which is the closest to -1\/4?  (a) j  (b) -4  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12426)\/(-5886))\/(2\/(-36))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m**(-1\/17)*m*m**(-13)\/m)\/(m**8\/m*m)**28 assuming m is positive.\nAnswer: m**(-3996\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*a*u**2 + 579314*a - u**2 + 5182*u wrt u?\nAnswer: 6*a*u - 2*u + 5182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 11280, 44965, 101136, 179817, 281032, 404805?\n\"Answer: 4*b**3 + 11219*b**2 + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -5 + -10 + 6 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 17842, 144667, 489426, 1161085, 2268610, 3920967?\n\"Answer: 18161*a**3 + a**2 - 305*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 48\/(-1)*(444\/56 - 8). Let l = -65\/21 + u. What is the biggest value in -0.2, 5, 3, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 62.2 - 29.2. Let v = 7460233.000232 + -7460200. Let d = v - o. Round d to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 11*d**3 - 3*d**2 + 19*d - 24. Let k(q) = -11*q**3 + 4*q**2 - 20*q + 32. What is 3*k(v) + 4*n(v)?\nAnswer: 11*v**3 + 16*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**3 - 4797*m**2 - 28674*m.\nAnswer: -3*m*(m + 6)*(m + 1593)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 89319.18t?\nAnswer: 89319180000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18142135.\nAnswer: 5, 11, 157, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than -797\/1153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 6*o**2 + 3*o + 3. Let a(v) = -3 - 5*v**2 + 9 - 8 - 2*v. Calculate -3*a(i) - 2*g(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 4 = -2*a, -531*a = -530*a - 4*h - 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7617 + 7616.99947655. Round p to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9946 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from uvfunnznjvnz.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 - 8*d - 16. Let u(l) = l + 32. Let r be u(-22). Let t be z(r). Differentiate -t - 15*j + 8 + 12 with respect to j.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 121 + 16. Let d = a + -137.194. What is d rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 + -8.24. Let g = u - -0.04. Let q = 0.1 - 0.6. Which is the closest to -3?  (a) g  (b) 1\/2  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/(p*p*p**(-4\/13)*p)*p**(-2\/5)*p*p**(-15)*p*p**(2\/9) assuming p is positive.\nAnswer: p**(-8699\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6653 - 13316 + 6657 + 179*f)*(9 + f + f - 7) to v*f**2 + n*f + j and give n.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 120 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-15)\/6)\/(30\/(-66168))?\nAnswer: 2, 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + (-49 - -106) + -100?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -4501.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 243*i. Let b(z) = -56*z**2 - 136*z. Give b(p(j)).\nAnswer: -3306744*j**2 - 33048*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13063 by 49.\nAnswer: -13063\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*o**4 - 8*o**4 - 18*o**4)*(0 - 2 - 3).\nAnswer: 95*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 324 and 13464?\nAnswer: 121176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence grf when three letters picked without replacement from {r: 2, g: 6, a: 1, t: 3, f: 2, j: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -2.2. Let c = -10 + 15. Let x = c - 2. Sort 4, x, d in decreasing order.\nAnswer: 4, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the third derivative of -q**8\/16128 - q**7\/2016 - q**5\/60 - 5*q**2. Let w(t) be the third derivative of l(t). Factor w(z).\nAnswer: -5*z*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4955438, -4955417, -4955396, -4955375, -4955354?\nAnswer: -4955333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000001395 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) -46.2  (c) -4  (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 48\/5 of a centimeter?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -7*28\/(-245)*3\/(-6)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 - y - 10. Let s be ((-8)\/14)\/(1*4\/(-28)). Let t be z(s). Solve q - 2*v + 10 = 0, -t*q = -6*q - 2*v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 - 19*r - 13. Let v be q(-18). Suppose v = -2*o + 7*o. Solve -1 - o = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*78\/2*-8*(-18)\/(-432)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-105)\/(-3675)*-70*98\/4\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1087818 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/2  (b) -2\/25  (c) 2  (d) 0.009  (e) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 850 and 23200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21579*l**2 - 37951*l**2 - 80396*l**2.\nAnswer: -96768*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -863 + 8649\/10. Let m be ((-1)\/(-3))\/(8\/384). Find the common denominator of b and -3 + (-2)\/(m\/196).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36\/(-170)*27\/(-567)*35.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13.999706 + 14. What is c rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 - 14. Suppose -2*f = -n + 121 - 13, -5*f = 2*n + 261. Let v = w - f. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20 - 18) + (1 - (-1 + 0 + -5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -81873\/4 - -20469. Which is the closest to -3?  (a) 4\/11  (b) q  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1571184.\nAnswer: 2, 3, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 6 = 3*x. Suppose -78 = x*j + 132. Is j\/(3\/(-1)) - -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 9) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*g + 27*g - 20 = 2*b, 5*b + 3*g + 26 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(88) - 2*sqrt(88))*-2 - sqrt(88)) + (-1*sqrt(88) - sqrt(88))*2)\/(5*(sqrt(648)*1 + sqrt(8) - sqrt(8))).\nAnswer: -sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 565 - 511. Find the second derivative of -282*n**3 - 99*n**5 - 29 + 282*n**3 - 3*n + n - o wrt n.\nAnswer: -1980*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qwwwwkwkwwwkws. Give prob of sequence qkk.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -48*u**3 + 2*u**2 + 2*u. Let l be f(-1). Let q = -39 + l. Solve q*s = 10 + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -120 = 5*g - 5*d, -2*g + 5*d - 1 = 50. Let u = g - -34. Suppose -5 = -a - w, -a - 5*w - u = -5*a. Solve 0 = 3*r - 3*m - 15, -a*r = -2*r + m + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -527, -525, -523?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -4  (b) 0.5  (c) -0.4  (d) 2  (e) -1\/659\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9832 and 137648?\nAnswer: 137648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 87060, 87201, 87406, 87675, 88008, 88405, 88866?\nAnswer: 89391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-35)\/3*(-105)\/175. Suppose -102 + c = -19*o. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g - 5*g + 4*g. Suppose 5*z - 3 - 7 = 0. Let i(l) = -l**2 + 6*l**2 + 0*l**2 - l**z. Give i(u(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.6123 to one dp.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 118, 271, 532, 907, 1402, 2023, 2776?\nAnswer: 3667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the first derivative of q**2\/2 - 2. Let n be i(0). What is the nearest to 1 in n, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 2*g = -66, 4*d - 2*d - 30 = 2*g. What is the smallest common multiple of 30 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20227779681.21963924541525628 - 0.21963909141525627782. Let r = d + -20227779608. Let h = 73 - r. Round h to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 2 p when three letters picked without replacement from {p: 4, a: 1, j: 2, r: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -584 - -576.93. Let w = 6.7 + d. What is w rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2681 - 2677. Let t = -26\/215 - 12\/43. Which is the third smallest value?  (a) -5  (b) t  (c) 5  (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 37 - (-56 - -111) - (-14 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16*u - 41 - 18*u - 3*u**2 + 29*u - 12*u**3 + 62 + 0*u**2 wrt u.\nAnswer: -72*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 56696125.5 nanoseconds?\nAnswer: 0.00000009374359375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w + 4. Let q be o(0). Suppose f + 3*j - 11 = 0, -2*f + q*j - 8 = 10. Let a be (-3)\/f + -5 + 3. What is the second smallest value in 4, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/14)\/((-18)\/63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3053*b**5 + 70*b**4 - 2*b + 758701 wrt b?\nAnswer: 61060*b**3 + 840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 527 in -0.98, 5, 1225\/2?\nAnswer: 1225\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum -196302434.5128 and 0.048.\nAnswer: -196302434.4648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -9656, -9658, -9660, -9662, -9664?\n\"Answer: -2*d - 9654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -0.7, -11.7, -45, -1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*r + r - t, -2*t + 20 = 4*r. Calculate the greatest common factor of 54 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 31700\/140 + 6\/(-14). Suppose -6*f + 260 = -w. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 158.8626ms to days.\nAnswer: 0.0000018386875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -2*v**2 - 6*v - 12. Let c(n) = 5*n**2 + 13*n + 25. Let y(m) = -6*c(m) - 13*o(m). Differentiate y(g) wrt g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 12 = -2*m, -3253*m - 2*n - 6 = -3252*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3253 + 3258. Which is the fifth smallest value?  (a) k  (b) -0.02  (c) 0  (d) 6  (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5798172630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, -3, -5, 1391 in decreasing order.\nAnswer: 1391, -2\/9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7d935d (base 14) to base 13.\nAnswer: -b725bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g**5 + 1453*g**4 + 11702*g**3 - 20406*g**2 - 70101*g - 39447 = 0. Calculate g.\nAnswer: -9, -1, 3, 1461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.76804073 to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*q**2 - 19064*q - 19080*q + q**3 + 38144*q.\nAnswer: q**3 + 55*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 216074 is divided by 71604?\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 713*o**3 - 728*o**3 - 3708886*o + 3708886*o.\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 97816 and 76.\nAnswer: 1858504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 0)*(-2*a + 0*a + 3*a)*(-2 + 0 + 0).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(136)\/sqrt(8) + 3 - (-4 + -1*sqrt(17))) + (-4 + sqrt(68) + -2)**2*-1)*-4.\nAnswer: -104*sqrt(17) + 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixteenths of a century in months?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 641, 642, 643, 644, 645?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1, 45, 1\/8, -1066, 0.3?\nAnswer: -1066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1917829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from woppt. Give prob of sequence pwp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1117408 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24700739 and 721.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 98.\nAnswer: 5\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 10, k: 9}. Give prob of picking 1 p and 2 k.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -277245 by -8.\nAnswer: 277245\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -4*f + 2. Let m be y(-1). Let i(c) = c - m + 8 - 4. Let w be i(3). Let z(k) = 6*k**2 - 1. Calculate z(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1549 is divided by 96?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -73 + 3*l**3 - 2*l**3 - 179*l**2 + 209*l**2 - 36*l. What is the tens digit of y(-31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**3 + 7*q**2 - 20*q - 18. What is h(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 364*f = 367*f - 3, -2*k + 6*f = 3*f - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -4, -3*g + 0*g = -4*j - 9. Suppose 4 = 4*p + 8. Is (j\/5)\/(p\/25) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -2\/627439049?\nAnswer: -2\/627439049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 4*k = -14832 + 65388, -2*k + 16854 = j. Suppose 19*b - 55*b + j = 0. Does 52 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1 - 2 - 5 - 6*b + 2 wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**2 + 24486*x + 49963683.\nAnswer: 3*(x + 4081)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 24978.5\nAnswer: 7493.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*z + 45*z**3 - 3838*z**2 - 12*z + 3841*z**2 in the form k*z + u*z**2 + d*z**3 + a and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.59, 117, -3, 2, 1984\/3?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(4\/5)\/x**(-8))\/(x**(-1\/13)\/x**(-8)) assuming x is positive.\nAnswer: x**(57\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(170)\/(sqrt(10) + sqrt(90)))**2 - sqrt(272)*2.\nAnswer: -8*sqrt(17) + 17\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56449 = -717*q - 2254*q for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the first derivative of 761*r**2\/2 + 4*r + 17. Is p(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-4*(sqrt(170) + sqrt(170) + sqrt(170) + sqrt(170) + (sqrt(170) - sqrt(170)*5) + sqrt(170)) + sqrt(170)))\/(6*sqrt(120)\/(sqrt(96)\/sqrt(8))).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 1, 117525 in decreasing order.\nAnswer: 117525, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7 - (-3 - 14012\/3496) and 47\/22?\nAnswer: 9614","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9844245*c**2 - 22245051*c wrt c?\nAnswer: -19688490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-100*23\/(-11040) + 0)*(-9)\/(-3)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 2*w = -o - 4, -3*w - 6 = 0. Let v be (o + 1)*-1 - -1. Suppose 3*g + 3*n + 2*n - 30 = v, 3*n = 0. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*t**3 - 2352*t**2 + 458631*t + 926694 = 0. What is t?\nAnswer: -2, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 2*w**2 - 308*w + 18*w**3 + 38*w**3 + 17*w**3 + 309*w in the form a + m*w**3 + y*w + i*w**2 and give m.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*3*(5 + (-3*sqrt(180) - sqrt(180)) - -2*(-3*sqrt(180) + sqrt(180))))**2*1.\nAnswer: -4320*sqrt(5) + 103905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**3 - 29*z**2 - 11*z + 725. Give y(-27).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*l - 9*l - 3 = 5*q, -4*l = -3*q + 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70) - (sqrt(70) + -2*sqrt(70)*4))\/(sqrt(10) + (2*sqrt(90))\/sqrt(9)).\nAnswer: 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33116 and 1428.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rqkqkrrrssqkkrr. Give prob of picking 1 r and 1 k.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.9932844 times 19\nAnswer: -18.8724036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the first derivative of 0*c**2 + 0*c**3 - 57 + 0*c**4 - 26\/5*c**5 + 39*c. What is the derivative of f(o) wrt o?\nAnswer: -104*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - z = 3*b - 3, 2*b = -2*z - 2. Let i(h) = 2*h**3 + h - 4. Let l(a) = a - 1. Give b*i(m) + 3*l(m).\nAnswer: -2*m**3 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.499 - -10.501. Which is the nearest to 4\/5?  (a) k  (b) 1  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*q = -34*q + 296. Let c = q + 293. Suppose p + h = 26, -60 = -2*p - 4*h - 14. Calculate the greatest common divisor of p and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(95)*1 - sqrt(95))\/(sqrt(20)*-1).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1672\/5 - 335. Let y be (3\/9)\/(-3 - -2). Sort y, p, -4, 2 in decreasing order.\nAnswer: 2, y, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m - 2901 - 879 = 0. What is m rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/176 and -119\/6?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -69  (b) -70111  (c) -2  (d) 2\/7  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 3:29 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 + 7 - 40 + 5 + 426*w + 14.\nAnswer: 426*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 9, -1, 1 in ascending order.\nAnswer: -1, 1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide -3*(-3 + 2) + 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*p - 7*p - 290 = 0. Solve 5*u = 4*h - p + 9, -5*h = 4*u - 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9605418 to the power of 1\/2, to the nearest integer?\nAnswer: 3099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-32\/3)*(s*s**(-26)*s)\/s)**(-10\/7) assuming s is positive.\nAnswer: s**(1070\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 + (-20)\/4 + 4. Let j be (o + 3)\/(10\/(-50)). Let m be 125*1\/(j\/100400). What is m rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of 215 + 2\/5*z**5 + 0*z**2 - 8\/3*z**3 + 0*z + 0*z**4. Factor s(l).\nAnswer: 2*l**2*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 25*l + 147215. Let u(v) = 2*v. Determine u(s(t)).\nAnswer: 50*t + 294430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 581 is divided by 216?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1029134 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (48 - 2) + (0 - -3) + 62 + -74?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + 0. Let g = 22 - 33. Let k = -7 - g. Solve 0 = 2*d - w*p, -2*d - k*p = 5 + 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 58 - 182. Let p = -113.9 - i. Let m = -10.10000063 + p. What is m rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8680196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 3*v + 4. Let p be w(2). Suppose 2*d - p - 106 = 0. Suppose -5*i = d - 43. Is i != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -539610.13 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, y: 1, p: 11, i: 5}. Give prob of sequence iyr.\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4.6, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20211 (base 3) to base 10.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 3*m**2 + 12*m + 16. Calculate the remainder when 64 is divided by n(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 2756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 3  (c) -2\/105  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.21 * -2\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -465742, -466099, -466456, -466813, -467170?\nAnswer: -467527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/24 and -46*-1*6\/48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 2212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -13 + 14 + (6 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 + -1010000100000011101010001?\nAnswer: -1010000100000011101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -5*z + 140. What is the remainder when z is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -924 + 924. Solve -6*k + l*k + 18 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -63 - -66. Suppose -528 - 387 = -5*c - 5*m, -5*c + 931 = -k*m. Calculate the highest common divisor of c and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**2 - 6*q - 10. Determine v(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**2 - 7*r - 5. Let h(o) = o**2 - 2*o - 1. What is 4*h(g) - i(g)?\nAnswer: 3*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 1687*v**2 + 1. Let z be o(1). Let y = z + -188. What is y rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = 4*r - 34, 123*r - 128*r - 1 + 5 = -n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -2*v + 2*o - 14, 2*v - 2*o + 8 = 0. Let f be (11\/2)\/((v\/10)\/(-3)). Let c(a) = -53*a**2 + 4 - 4 + f*a**2. Let k(d) = -18*d**2. Give k(c(p)).\nAnswer: -72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 574463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a century in months?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/17*(0 + -1). Let f = 1707 + -1709. Which is the third biggest value?  (a) 1  (b) -1  (c) f  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/147*81\/3*98\/(-1722).\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -7*o**3 + 10*o**2 + 3*o + 9. Let m(q) = -3*q**3 + 5*q**2 + q + 5. Let z(h) = -2*a(h) + 5*m(h). Let n be z(5). Solve 7 - n = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17852547701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/176309672 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 416\/108775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -197842 smaller than -197843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15 and 565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = k - 0*k. Suppose 3*u = -u + 20. Suppose u*i - k = -0*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0798204 less than 0.2?\nAnswer: 0.2798204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes after 3:52 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1862?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -657*s = 1258*s + 32582 - 47902 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 2*t**2 - 4*t + 1. What is the remainder when f(-4) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 5*h + 4 + 0*h - 5*h + 4*h + (-h - 2*h + 2*h)*(-3 - 3 - 2 - 1 - 2 + 4 + (1 + 3 - 2)*(-2 + 0 + 1) + 2 - 1 + 0).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 6308 = 41*k - 43*k, 3*k + 12 = 0. Does 76 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 494, 842, 1186, 1526, 1862, 2194, 2522?\n\"Answer: -2*x**2 + 354*x + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/(-60) + -2936*(-4)\/120. Let y = a - 99. Sort 4, y, 1, -5 in descending order.\nAnswer: 4, 1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1\/6, -44, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 139 + -136. Suppose -57 = -r*f - 2*f + 3*k, 5*f - 5*k - 55 = 0. Solve -3*n = -0*n - f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 5, g: 2, s: 8}. Give prob of sequence gs.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -1338*k - 2464*k + 585*k in the form a + g*k and give g.\nAnswer: -3217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -7*c - 150. Let i be o(18). Calculate the common denominator of i\/30*30\/(-456) and -49\/18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*3)\/((-909)\/101)*33?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 12) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 5*s**3 - 4*s**2 + 4*s - 4. Let u(w) be the third derivative of -w**6\/20 + w**5\/12 - 5*w**4\/24 + 5*w**3\/6 - 53*w**2. Give -5*k(n) - 4*u(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*w - 14 = -0. Which is greater: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 + 6*h**2 - 3*h + 153. Let x be d(-8). Suppose g = 3*g - 74. Calculate the greatest common divisor of g and x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 PM and 3:01 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 13.69 times -5.4\nAnswer: -73.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -119 = 30*y - 13*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.12619 + 0.011?\nAnswer: -0.11519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 3\/7, 0.54, 0.3, -39?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-1\/15)\/(c\/(c\/c**21)))\/(((c\/c**(9\/10))\/c)\/(c\/c**3)))**(-3\/14) assuming c is positive.\nAnswer: c**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 17.736 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 6 = 4*n + 62, 2*l + 136 = 4*n. Let h = 217\/3 + l. Calculate the common denominator of -31\/30 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**4 + 56*g**3 + 864*g**2 - 38880*g + 303264.\nAnswer: -2*(g - 18)**3*(g + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6745 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -520 divided by -104?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -96.4?  (a) -10  (b) 89.4  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 + 8. Suppose j = -t + 27. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 + 17*x - 13 + 30.\nAnswer: 17*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -5*g - 14 - 0, -2 = -g. Let f be (4\/w)\/((-6)\/9). Let o(u) = -u**3 + u**2 + u. Calculate o(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -21  (b) -11  (c) 27  (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 864371 is divided by 20101.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98 = -14*o - 70. Let x(q) be the third derivative of 0 + 1\/48*q**4 + 0*q - q**o + 0*q**3 + 1\/240*q**5. Solve x(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(4\/3)*i**(5\/4)*i**(-2\/11)\/(i\/(i*i**0)))\/((i**1)**(-4\/23))**(-1\/4) assuming i is positive.\nAnswer: i**(7159\/3036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95*o**3 + 91*o**3 - 177*o**3 - 3*o + 3*o.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5045*s + 4*g - 13 = 5048*s, 0 = -5*s - 5*g + 25 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 416582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)\/(sqrt(7)*3))\/(sqrt(84)\/sqrt(112)).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1662\/168 - 9) + 1\/(-7). Sort -0.2, 0.5, 6, p in descending order.\nAnswer: 6, p, 0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 9*l**2 + l + 3. Let p(f) be the first derivative of -f**3\/3 - f + 384. Calculate -c(o) - 4*p(o).\nAnswer: -5*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 875 is divided by 116.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/50 in 5, 1\/11, 4\/5, -4, -27\/8?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -2. Let g = 1.03 - 1. Let z = 1.03 - g. What is the third smallest value in 2, z, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = 10*k - 42. Let n(u) = u**2 + 6*u. Let i(a) = 2*a**2 - a**2 + 5*a + 0*a**2. Let l(d) = 6*i(d) - 5*n(d). Give l(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 4:01 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -c - 3*c - 115, 0 = 3*z + c - 69. Suppose 0 = -0*v + 5*v - 3*p + z, -p = -2*v - 9. Is 0 - (v - -2) - -19 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 50, -2, 1\/5 in increasing order.\nAnswer: -2, 1\/5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x = 3*i - 4*x - 27, 0 = -2*i - 3*x + 19. Suppose -3*k + 7 = d - 14, k - i*d = -9. Calculate the highest common divisor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.323449 litres to millilitres.\nAnswer: 8323.449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 64 + -53. Suppose 0 = 13*n - 15 - d. Solve 4 = n*j + 5*v, j + v + 13 = -4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 53\/207, 23, 46\/7 in decreasing order.\nAnswer: 23, 46\/7, 53\/207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 + 13*k**2 - 8*k + 1. Let j be p(12). Let z = j + -54. Let f(q) = 33*q**2 - 22. Is f(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -512*w**6 + 38*w**5 - 95*w**3 + 23647016*w**2.\nAnswer: -61440*w**3 + 2280*w**2 - 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6, 9, 22, 33, 42, 49?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1165 in 2\/9, 4, 2\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 899727 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 312 a factor of 25950195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (13\/(-26))\/((-1)\/18). What is the greatest common factor of v and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 120073185?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 + 27*u**2 - 8*u - 17. What are the prime factors of o(-19)?\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -4  (b) 11  (c) -1\/7  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/48778 and 91\/302760?\nAnswer: 8780040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -39*x**3 - 2*x**2 - 6*x - 4. Suppose -2*h - 6 + 4 = 0. Let k be s(h). Suppose -2*i + 17 = -3*r - k, 23 = i - 4*r. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes before 7:38 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2043402*z**2 + 1654230 wrt z.\nAnswer: -4086804*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -4, 5, -5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -169 = j - 51. Let d = 271 + j. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 + 7. Let q be ((-1)\/(-2))\/(3\/(-6)). Suppose h - 14 = -411*w + 416*w, -2*w + 2*h = -12. Put w, q, t, 4 in increasing order.\nAnswer: w, t, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -72, 0.5, -19, 1\/3 in descending order.\nAnswer: 0.5, 1\/3, -19, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 + 4*h)*(h**3 - h**3 + 3*h**4) + (-h**4 + 2*h**2 - 2*h**2)*(h + 4 - 4).\nAnswer: 11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fobkpuoku. Give prob of sequence bu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 8*d - 131 + 378 = -2*b, 0*b = 5*b + 3*d - 111 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k - 12 = -3*h, -14*h + 12*h - 5*k = -8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*a - 97 = 5*h, 4*h - 2182 + 2235 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 1275 = -3*i. Let g(w) = 12*w**2 - 12*w - 14. Let l be g(-7). Let y = l + i. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122 = -6*t + 7*t. Let i = -243\/2 - t. Determine v, given that 1\/2*v**3 + 1\/6*v + 0 + 1\/6*v**4 + i*v**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 6*y**3 + 109*y**2 + 44*y + 48. Give h(-18).\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - 4. Let x be 34\/6 + 2\/j. Solve -x*d - 3 = 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 732 and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -3*i - 3. Let h be d(1). Let x be 4*2 - (9 + h). Are x and 21\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 13\/(-1)*(-7240)\/11765\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 376757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3\/5 + 32788*a**2\/5 - 2170542*a\/5 + 7169976.\nAnswer: 2*(a - 33)**2*(a + 16460)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + 29814*z**5 - 1 - 29524*z**5 + 0*z**5 + z**5 + z**5 + (-2*z**2 + 5*z**2 - 4*z**2)*(-z**3 + 0*z**3 + 2*z**3) + z**5 - 6*z**5 + 2*z**5.\nAnswer: 288*z**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 21\/(-105) + 31\/5. Suppose -5*x = -4*i + 2 + 2, -2*x - 16 = -4*i. Is (5 + (-12)\/i)\/(m\/254) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.096 - -5.796. Let y = -0.7 + n. Let k = 0.028 - -3.972. Which is the nearest to -1?  (a) 3\/8  (b) k  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + -312022210202?\nAnswer: -312022210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 35\/94 or -4246?\nAnswer: 35\/94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.71853 milligrams?\nAnswer: 718.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-50)\/((-52)\/(4472\/(-215))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, 192, -1, -4 in ascending order.\nAnswer: -4, -1, 23, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 73*b. Let z(h) = 135*h**2 + 12*h + 2. Let d be z(3). Let j(o) = 2505*o**2 - d*o**2 - 1254*o**2. Calculate q(j(g)).\nAnswer: -146*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -550, -551, -552, -553?\n\"Answer: -j - 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2*(-45476)\/(-12))\/(4\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 2*p**2. Let q(g) = 110137*g. Give q(h(a)).\nAnswer: 220274*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-1))\/((-79856)\/(-868)).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13509 + 13501. Which is the nearest to 0?  (a) l  (b) -11  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3181 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f - 2*a - 3*a = -21, -6638*f + 2*a = -6641*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*v**2 + 134749 + 16*v**2 - 134744.\nAnswer: -30*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 + 5*t - 12. Let q be v(-7). Let x = 753\/8 - 94. What is the closest to -1 in q, x, 1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from paypy. Give prob of sequence ppay.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8997*i - 569 + 569.\nAnswer: 8997*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 164, 162, 160?\n\"Answer: -2*z + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 7\/6  (b) 2\/17  (c) 852.5  (d) -4  (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (207\/92)\/(-1*3)*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3948 >= 3952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4780.\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.628 to 1 decimal place.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(7\/6))\/(c\/(c\/(c**(-7\/10)\/c))) assuming c is positive.\nAnswer: c**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 30079*a**3*h**2 + a**3*h - 34*a**2*h**2*s - 2*a**2*h*s - a**2*h - 8*a**2*s - 621*h wrt h?\nAnswer: 60158*a**3 - 68*a**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 815, 816, 817, 818, 819?\nAnswer: 820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -32416 and 26163835?\nAnswer: 26196251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13905 is divided by 67?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 190737 is divided by 1926.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a43 - 830?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17699279, -35398559, -53097839, -70797119?\nAnswer: -88496399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*a**4 + 2*a + 2*a**4 + 0*a + 278*a**3 + 2*a**4 - 15*a**4 in the form j*a**4 + m*a**3 + d*a + g*a**2 + n and give m.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 3\/5, 0.66, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of -3*l**5\/10 + l**4\/12 - l + 1. Let z be (20\/(-16))\/(2\/(-8)). Suppose -4*h + z = h. What is n(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 8*n**3 + 28*n**2 + 32*n - 12. Let t(x) = 2*x**3 - x - 1. Let m(a) = r(a) - 12*t(a). Determine d so that m(d) = 0.\nAnswer: -1, 0, 11\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -46\/137 + 689\/1644. Suppose -12 = 5*i - 2*i. Which is the second smallest value?  (a) 2\/13  (b) n  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -76 + 86. Let n(t) = t**2 - 8*t - 3. Calculate n(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9121860 divided by 268290\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-36)\/(-42))\/((132\/(-224))\/11).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 164113 = 164107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + 5 - (-3 - 0)) + -11\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y = 2*y + 25. Suppose 3 = -5*n - 2. Let f(a) = -a**3 + a**2 - a. Let j(u) = -3*u**3 + 5*u**2 - 5*u. Give n*j(d) + y*f(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/54)\/4*6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 210 and 35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(-1\/4))**(-1)\/(p**0*p**(-5))*((p\/p**0)\/p)**25\/((p\/p**(-1))\/(p\/(p\/(p**(1\/6)*p)))) assuming p is positive.\nAnswer: p**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/95670116 and -109\/1992.\nAnswer: 574020696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2483561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 times -541.1?\nAnswer: -18938.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/3*123\/164*-18?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 151 - 132. Suppose 6*p - y - 11 = 0. Put -1, -132, p in descending order.\nAnswer: p, -1, -132","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - -8 - (5 - 11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4478, 5212, 6382, 7982, 10006, 12448, 15302?\nAnswer: 18562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18100)\/1448)\/(3\/6).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 5*o**2 + 15*o + 51. Let b(y) = 11*y**2 + 30*y + 100. Let d(n) = -4*b(n) + 9*l(n). Let u be d(-7). Solve u + 2 = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (44 + 0)*1*(-4)\/8. Let o = 43 - f. List the prime factors of o.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1c2a66 (base 13) to base 15.\nAnswer: e35cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 22726 at least as big as 22728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 4 = s, -4*t - 4 = 3*s - s. Let z(k) = -k**2 - s*k + 8 + 7*k + 2*k**2. Let w be z(-4). Solve w*g + 25 = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (20\/(-12))\/((-10)\/12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 218 + 151 = 58*k + 27, -134 + 3 = 5*k - 3*y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d + 1. Let h be q(4). Let f = h - -7. Suppose -f*m - 2068141 = 331859. Round m to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/817700 and -6\/286195?\nAnswer: 5723900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 25\/(-10) + 51\/18. Sort y, -1\/2, -5.\nAnswer: -5, -1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9914 = 441*a - 8219 + 5344 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -96827*b*h**2*r**3 + 408*b*h**2*r**2 + b*h**2 - b*r**3 + 11*h**2*r**3 - 179*r**2 wrt r?\nAnswer: -580962*b*h**2 - 6*b + 66*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 12456 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 52 - 95. Let r = 73.9 - 30.9. Let q = b + r. Sort q, -0.2, 3.8.\nAnswer: -0.2, q, 3.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k**2 + 233712*k + 13655324736 = 0.\nAnswer: -116856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 3*d**2 + 9*d - 3. Let x(m) = 7*m**2 + 19*m - 7. Let h(v) = -5*k(v) + 2*x(v). What is the tens digit of h(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18 and 37917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 48 or 233\/5?\nAnswer: 233\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 - 8*q + 4. Let y be o(8). Let d be (-2)\/4 + 34\/y. Let j = 5 + d. Calculate the highest common factor of 104 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 979  (b) -0.4  (c) 15  (d) 0.2  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -125547, -251179, -376811, -502443?\nAnswer: -628075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = 885*y + 1009*y - 1808*y - 604, -24 = -4*y - 0*y - 4*t for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3495409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 33553 - 33541. Calculate the smallest common multiple of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**3 + 5*m**2 + 6*m + 2. Calculate d(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 46 + -41. Solve x = 6*d - 19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13.586 + -1.586. Let a = 1 - 2. Which is smaller: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -38, -123, -274, -497, -798, -1183, -1658?\n\"Answer: -r**3 - 27*r**2 + 3*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -125 (base 10) to base 9\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-3*sqrt(77) - sqrt(77)) + (-6*(sqrt(77) - sqrt(77)*3) - sqrt(77)))\/(((sqrt(704) - 3*sqrt(704))*1 - sqrt(704)) + sqrt(704)).\nAnswer: -15*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1900)*1*1*-1 + -1*(sqrt(1900) + sqrt(1900) + 1) + 3)**2.\nAnswer: -120*sqrt(19) + 17104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 1  (b) 0.039  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*g**3 + 2*g**4 - 3*g**4 + 8*g - 187*g**2 + 175*g**2.\nAnswer: -g*(g - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2106 + 4?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 752238343 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.089865, 18, 2\/17, 5.\nAnswer: 0.089865, 2\/17, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192)\/sqrt(6) - sqrt(32))\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 228807 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k + 3*k + 6*k**3 - k**3)*(47 - 6*k - 47)*(2 + 1 - 5)*(0 + 4 + 4)*(-2 - 2 + 0).\nAnswer: -1920*k**4 + 384*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -1820*m + 29*m**2 + 1820*m + (3*m + 0*m - m)*(-m + 4*m - m) in the form s*m + w + b*m**2 and give b.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 9121 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 45 = 5*x + 31, 4*k - 6 = 10 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2\/6*7623\/((-198)\/(-18)) and 121?\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12379 - -12322 - (1 + -93).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22899 and 76779.\nAnswer: 1305243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/13)*(p*p**(1\/5)\/p)\/p*p)\/(p**(-1\/4)\/p*p\/(((p*p**(-1\/7))\/p)\/p))*p**(-10\/3)\/(p**(-2\/7)*p**(-2\/5)\/p) assuming p is positive.\nAnswer: p**(-13619\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {w: 1, t: 2, e: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/4489, -3, -0.1, -1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 18, -2, 0.4 in decreasing order.\nAnswer: 18, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -178*n = -184*n + 1338. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, d: 3, i: 5, f: 3}. What is prob of sequence dufu?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-26)\/(-195))\/(1\/5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**2 - 2*t**2 + t**2)*(0 + 2 - 6) - 3*t**2 + 4*t**2 + 0*t**2 + (14 + 4 + 1)*(3*t**2 + 3*t**2 - 5*t**2).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 80 + (-1286)\/32 + (-321)\/(-1712)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -56*v**2 + 242*v**2 - 60*v**2 - 50 + 20*v - 69*v**2 - 56*v**2. Give n(-16).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes after 3:22 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -234116, -936456, -2107020, -3745808, -5852820, -8428056, -11471516?\nAnswer: -14983200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 188 by -5.\nAnswer: -188\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -12*20\/160*2\/((-18)\/(-39))?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 24 (base 5) to base 15\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 186097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15887 is divided by 5208?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4914 rounded to two dps?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.05405 to two dps.\nAnswer: -2.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -371 - -386. Suppose v*c = -1446 + 8721. Does 49 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5259035, -5259036, -5259037?\nAnswer: -5259038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(2) - sqrt(8)\/sqrt(4))*-1)**2 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 86*h + 60*h - 29*h + 13*h + 48*h.\nAnswer: 178*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1246*s + 1316*s + 44 - 2563*s + 75.\nAnswer: -s + 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -21 + ((-9)\/(-2) - (117 - 62342\/244))\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -44*b + 4*b**2 - 2 - 4*b**2 + 790753*b**3 - 790733*b**3 to the form l*b + g + f*b**2 + w*b**3 and give l.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -834 divided by -139?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of c**5\/30 - 37*c**4\/24 + 8451*c**2. Let l(z) = 26*z**2. Determine j(l(p)).\nAnswer: 1352*p**4 - 962*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1977303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-23 - (-8 - -3))\/(-4)*35\/(-840).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 9 = -5*o - 7, 8 = 4*o. Suppose 5*l = -5 + 180. What is the remainder when l is divided by 2*(-1)\/(-4)*(5 + u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -234  (b) 3  (c) 2\/63  (d) 1  (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -127*l + 474?\nAnswer: -127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 - 8. Solve m*v = 6 + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 0)*(0*f + 5*f - 2*f) - 249*f - 272*f + 34*f + 130*f.\nAnswer: -354*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 20*i**2*m - 43*i**2 - i*m - 42*i - 32*m wrt i.\nAnswer: 40*m - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -124\/45 + 14\/9. What is the nearest to 0 in 2, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1211001 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4152.336nm to millimeters.\nAnswer: 0.004152336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -5*c - 3. Let o be f(-8). Let u = -518 + 488. Let v = o + u. Calculate the highest common divisor of v and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2*(-5 - -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -332, -1, 8, 0 in increasing order.\nAnswer: -332, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*n - 8*n**2 + 15*n**2 - 8*n to the form y*n**2 + z + k*n and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*u + 280 = -13*u. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 343450 - 343384. What is the remainder when m is divided by 47 - (-2)\/(-1) - 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, x: 7}. Give prob of picking 2 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p - 5*k, 3*p - 20 = 4*k + 1. Suppose -u - p + 36 = 0. Is u a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand q**2 + 0*q + 0*q + (5*q - 5*q - q**2)*(-3 + 1 + 1) + 2*q**2 + 11*q**2 - q**2.\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3356794839 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from gdgdgqddggw.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -7088.694 times 59\nAnswer: -418232.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 262102173 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 280 - 266. Let j(q) = -3*q + 3*q - q + 5*q**2 - 1. Calculate the remainder when f is divided by j(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -43*g + 46*g. Solve -2*s - g = -6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.6*-320442.\nAnswer: 833149.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes before 5:55 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1004.8829 rounded to 0 dps?\nAnswer: -1005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 - -2. Let c = j - 10. Do c and -6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 - 1 = q + 3*k, 0 = 2*k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.5 + -0.5. Let i = 0 + 3. Let z = 0.07 - 0.07. Which is the closest to 2\/5?  (a) z  (b) u  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16504 is divided by 16415?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95 + 415 = 4*j + 3*n, -5*n - 160 = -2*j. Suppose p - 8 + 13 = 0. Let x be (-490)\/(-50) - 1\/p. Calculate the greatest common divisor of x and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oqqoq. What is prob of sequence qqo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26.66871179961 - -40.\nAnswer: 66.66871179961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**2 - 3. Let z(m) = -307*m**2 + 3*m + 6. Give 2*n(w) + z(w).\nAnswer: -309*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 17317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 12:10 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2\/4 + 4263*g\/2 - 4260.\nAnswer: -3*(g - 2840)*(g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4787?\nAnswer: 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*s**3 + 82*s**3 - 310*s + 148*s - 35*s**3 + 77*s**3 + 152*s.\nAnswer: 110*s**3 - 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -4*k**2 - 19*k + 22. Let q(c) = -5*c**2 - 20*c + 23. Let s(w) = 6*m(w) - 5*q(w). Let g be s(13). Is 167\/8 + g\/32 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/sqrt(5)*3)\/((sqrt(220)\/sqrt(5))\/sqrt(11)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 103798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -371, -846, -1345, -1874, -2439?\n\"Answer: -k**3 - 6*k**2 - 450*k + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-218)\/268794)\/((-6)\/((-36)\/31) - (-65)\/(-13)).\nAnswer: -2\/411","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 28726862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2657067 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 263369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1930381, -3860770, -5791159, -7721548, -9651937, -11582326?\n\"Answer: -1930389*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 5*h + 4 + 24 = 0, -3*h - 28 = -5*b. Suppose 4*g - 4 = b. Solve -10 = 5*n + 2*x, 2*x = n - g - 7 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -212250, -424504, -636762, -849024, -1061290, -1273560, -1485834?\nAnswer: -1698112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 2*b**2. Let p(h) = h + 2. Let f(i) = 9*i - 17*i - 8 + i. Let z(d) = f(d) + 4*p(d). Calculate z(q(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1acbd (base 15) in base 11?\nAnswer: 5a611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 5*w + 454 = 7*w - 51*u, -4*u - 36 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 15 + ((-1342)\/610)\/((-1)\/(-5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and -0.11404?\nAnswer: -0.011404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2970398?\nAnswer: 2, 1485199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 54056*h + 1\/4*h**3 + 54289 - 931\/4*h**2 = 0?\nAnswer: -1, 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -122 + 125. Let d(x) = x**2 + x. Let b be d(0). What is the biggest value in 0.2, b, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11567481 is divided by 10319.\nAnswer: 10201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -0.42, -8, -165, 119?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 15980616*g**2 + 23388830?\nAnswer: 31961232*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*v - 2526 = -2814. Solve 41*i - 37*i = v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -179 + 1219 = 4*r. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l*l*l**(1\/5)))**42)**(-36) assuming l is positive.\nAnswer: l**(9072\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 70 and 31521070.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6327681?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1107 is divided by 504?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - l + 5 = -b, -4*b - 3*l = -24. Let v(p) = p**2 - 9*p - 5. What is v(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4*(-1)\/(-6)*(-223)\/(-446). Put x, 86, -4 in descending order.\nAnswer: 86, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3427*c**3 + 36124*c**3 + 1 - 2.\nAnswer: 32697*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 257.83 - 30.83. Sort 5, -3, s in increasing order.\nAnswer: -3, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1165124, -2330251, -3495378, -4660505, -5825632?\n\"Answer: -1165127*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x + 5. Let h be p(-2). Solve -t + 4 = h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w - 4*f - 31, 4*w = -0*w + 5*f. What is the nearest to 2\/3 in 2, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*p + 2*p = -499225. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2\/3, 0.2, -15, -1.\nAnswer: -15, -1, -2\/3, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**3\/5 + 31*u**2\/5 + 103*u\/5 - 27.\nAnswer: (u - 1)*(u + 5)*(u + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 87\/32?\nAnswer: 87\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.1 - -0.22. Let n = 0.12 - f. What is the closest to n in 5, 4\/3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.6 + -0.52. Let s = x + -0.080016. What is s rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -4*r - 3*c, 11*c = -6*r + 9*c + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence upqk when four letters picked without replacement from qkpdpnnu?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of g**3*t**3*u**2 + 448*g**3*t - 3*g**3*u - 996*t**3*u**2 - t**3 wrt u?\nAnswer: 2*g**3*t**3 - 1992*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*g - 62*g = 60. What is the remainder when g is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - 1051\nAnswer: -1047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {j: 2, x: 7, b: 2}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-56)\/(-70))\/((-46)\/(-120)). Let m be 12847\/644 - (-4)\/(-14). Let b = w + m. Calculate the common denominator of -85\/4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*m - 4*m - 4*m)*(-2*m + 0*m + 0*m)*(-11 - 15*m + 11)*(-2 - 1 - 2).\nAnswer: 300*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -998, -2539, -4420, -6641, -9202, -12103, -15344?\n\"Answer: -170*u**2 - 1031*u + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a factor of 112070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 9247299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -11, 177, 489, 925, 1485, 2169?\n\"Answer: 62*i**2 + 2*i - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of -u**7\/840 + u**6\/72 - 7*u**5\/120 + u**4\/8 - 7*u**3\/3 + 7. Let a(g) be the third derivative of f(g). Factor a(n).\nAnswer: -(n - 3)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1516, -3098, -4670, -6226, -7760, -9266, -10738, -12170?\n\"Answer: d**3 - d**2 - 1586*d + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9600085 and 1265?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h**5 - 210*h**4 + 5098*h**3 + 12042*h**2 - 26264*h - 33000 = 0. What is h?\nAnswer: -125, -3, -1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/5  (b) 1\/2  (c) 0  (d) 4  (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-10)\/(-1)*(-4)\/(-10). Suppose q*w + 5 = 25. Solve w = -2*z + z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 426916.76266 from -0.03.\nAnswer: -426916.79266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3553?\nAnswer: 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {b: 1, z: 3, n: 2, e: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/10)\/((-1)\/(-5)). Suppose -b*a = a. Suppose a = n - 1 - 1. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1057 + -1051. Calculate the lowest common multiple of 3\/(6\/20) + -1 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 21 = -5*y, -13 = -5*y + 12. Let c(a) = -a**3 + a**2 - 4*a + 55. Let i be c(0). Let m = i + -46. What is the remainder when m is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + 475 - 479. Let p(b) = b**3 - 4*b**2 - 4*b + 4. Determine p(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1968)\/(-4592) - (-1)\/(165\/(-772) - (-1)\/4).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(176)*-1 - sqrt(176)) + 3)**2 + -1*(sqrt(176) + (1 + sqrt(176) - sqrt(176))**2 + sqrt(176)).\nAnswer: -56*sqrt(11) + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the second derivative of -b**3\/6 - 766*b. Let q(z) = 49*z + 18. Determine c(q(t)).\nAnswer: -49*t - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -0.4, 1\/3, -2.7, -5, -2.3, -1.014?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.027 - -4.027. Suppose d + 4*g + 48 = -3*d, 4*g = -d - 21. Let f be 3*(5\/(-2))\/(d\/6). Which is the second biggest value?  (a) f  (b) n  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.7 + 2. Let f(i) = -i**2 - 11*i + 27. Let r be f(-13). Suppose -l = -6*l. Which is the closest to l?  (a) r  (b) 2\/7  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rwr when three letters picked without replacement from rrwwwwrwrrwwrwwwwrw?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 504 > 488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18363.\nAnswer: 3, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f = 53 + 73. Let g = f - -18. Suppose u - 1801 = -5*b - 81, g = -b + 4. Round u to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddddddpddddddpddddd?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 3, -10, -50485, 5 in ascending order.\nAnswer: -50485, -10, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 8.9  (b) -2\/7  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.24 + -10.24. Let s = -12480.0151 - -12479. Let y = 0.0151 + s. Are y and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the third derivative of 629*i**9\/504 + 319*i**5\/60 - i**4\/12 + 7*i**2 + 13. Find the third derivative of f(a) wrt a.\nAnswer: 75480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 209, 191, 147, 65, -67, -261, -529?\nAnswer: -883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-15)\/(-25))\/(9\/3). Suppose 4*v + 11 = 3. Let k be v\/(-4)*(-1 + -1). Which is greater: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -324.66 and 339.\nAnswer: 14.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -8*r**2 + 366*r + 473. Determine m(47).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -q**3*w*x + 2*q**3 - 263744*q**2*w - 99*q**2 + q*x + 337*q wrt w.\nAnswer: -q**3*x - 263744*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4077.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.06, 0.04, -44, -2\/13?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 6 = -3*b - 0, 0 = -b + 3*q - 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 257740 rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -138047848*h**3 + 409691*h - 67.\nAnswer: -828287088*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -b**4 + 13601*b**3 - 15828627*b**2 + 31616455*b - 15801428 = 0.\nAnswer: 1, 1283, 12316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 11 = -l - 2*f, f + 4 = 2*l. Suppose -7*d - 44 = -l*d. Let n = 21 + d. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1050 - -1054. Solve m + 3*u = 8 - 0, -2*m - 2*u + d = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 317 = 268. Let o(l) = -96*l + 3*l**2 + 38 + a*l - 99*l. Let n(i) = 2*i. Give o(n(j)).\nAnswer: 12*j**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1992940 is divided by 2407?\nAnswer: 2351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 278820 divided by 6?\nAnswer: 46470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -0.4, 9\/5, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97195 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -15 - (-4 - (-7 - 7)) - -10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 3 - 3 + 65*z.\nAnswer: 65*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (8 - (-5 + -3 + 123)) + 15 - (0 - 5)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -11834, 5, 2, -5, 1 in decreasing order.\nAnswer: 5, 2, 1, -5, -11834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2.2 or 160.171?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 71 - 142 + 74. Let y(s) = -s. Determine -q(k) - 5*y(k).\nAnswer: 5*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0004740351 rounded to 5 dps?\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2226 - -2948. Calculate the greatest common factor of s and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3141, -6306, -9469, -12630?\nAnswer: -15789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3678137528?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 5, -3\/26, 3960?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2512)\/((-60)\/24*(-4)\/(-5)). Calculate the highest common divisor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5573 less than or equal to 5508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 10.6  (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -919, 19971, 76671, 187085, 369117, 640671, 1019651?\nAnswer: 1523961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -2*j - 1. Let y be m(8). Let s = y - -26. What is the smallest common multiple of 4 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 71 - 102. What are the prime factors of h\/186 + 6302\/12?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14232 or -14224?\nAnswer: -14232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 3*x**3 + 8*x**2 - 5*x - 11. Let b(j) = j**3 + 3*j**2 - 2*j - 4. Let d(f) = 8*b(f) - 3*n(f). Let a(w) = -4 + 3*w**3 + 2 + 0. Calculate a(u) + 2*d(u).\nAnswer: u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*(256\/960)\/((-6)\/(-15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2433, -2413, -2367, -2289, -2173, -2013, -1803?\n\"Answer: l**3 + 7*l**2 - 8*l - 2433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 791094529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*c - 12*c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 110957879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000058854 to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 - 223*o**2 - 445*o - 207. What is i(-221)?\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 12, -2, -1641 in increasing order.\nAnswer: -1641, -2, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minus -210264764?\nAnswer: 210264768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1053287 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 7728.933g?\nAnswer: 7.728933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 429535082 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w + 27 - 0. Let q be w\/45 - 124\/180. What is the smallest value in -0.1, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11833?\nAnswer: 11833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 7a7d3 (base 15) to base 11\nAnswer: 246a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, z: 4, b: 1}. Give prob of picking 1 y and 1 b.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 135 and 302506455.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 168*i**2 + 12*i + 7. What is the tens digit of u(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 244 + -244. What is the common denominator of -37\/30 and 2\/(70\/27) + v?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15072 is divided by 942.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 4:03 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*h - 5*h, 4 = -4*m - 2*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 2, -0.3, -11.93, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1245*y - 1254 = 1359*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 810 = -l. Let d(c) = 7 + 261*c - 15 - l*c - 4 + 3*c**2. What is the lowest common multiple of d(5) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 10)*(g - 2*g - g)*(11 - 11 - 7*g**3).\nAnswer: 112*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/(t*t**(-1)*t)))\/(t*t**(-19))*t**(-2)*t**(-16)*t*t assuming t is positive.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 91*t**2 + 78*t + 2100. What is the ten thousands digit of w(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6167757391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 7 = -5*y, -5 = -y + 6*y + 5*w. Suppose 3*h - x - 6 = -4, -28 = y*h + 5*x. Is 1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 21468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(252) + 3 - sqrt(252)) - sqrt(252) - (sqrt(252)*-2*2 + sqrt(252))) + ((-1*sqrt(252)*-4 - sqrt(252)) + sqrt(252) + 5)*3)**2*2.\nAnswer: -1008*sqrt(7) + 98802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -38 + -3738448362\nAnswer: -3738448400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -26*w - 94*w - 44*w - 1 + 57*w in the form u*w + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in -0.08, 1, 5, -41?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -142  (b) 1\/6  (c) 0.3  (d) 94\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -94031 + 94033. What is g in -87\/4*g - 3\/4*g**m + 93\/2 = 0?\nAnswer: -31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and 254.\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11828 + 11832. Suppose 0*t**3 + 3\/4*t**s + 1\/4*t**5 + 0 + 0*t**2 + 0*t = 0. Calculate t.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qnngnnnnggnnnqncgnq. What is prob of picking 2 g and 1 q?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 s when three letters picked without replacement from {h: 1, g: 1, s: 5, c: 2}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 - -9) + -7 + 2 - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1405\/2 - -707. Factor 11*g**2 + 1\/2*g**4 + 12*g + r + 4*g**3.\nAnswer: (g + 1)**2*(g + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.4 - 314.17.\nAnswer: -312.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**2 + 3*o + 2. Let u be i(3). Suppose -c + 9 = c - 3*v, v + 3 = -u*c. Suppose c = f - 267 - 298. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (-22 - -26 - (-5 - 1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 38734 (base 13) to base 5\nAnswer: 11320420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 56623076 to the power of 1\/2, to the nearest integer?\nAnswer: 7525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -2*h + 4. Let l(f) = 3. Let n(y) = -1. Let x(w) = -3*l(w) - 8*n(w). Let q = 86 + -82. Let p(v) = q*x(v) + d(v). Let c(o) = 5*o. Determine p(c(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3728 and 1786644.\nAnswer: 7146576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17*f**2*j*q*z**2 + 30*f**2*j*q*z + 2*f**2 + 3*f*j*z + 2*f*j + f*q*z**2 - 4*f*q*z + 20*j*q*z**2 wrt f.\nAnswer: -34*j*q*z**2 + 60*j*q*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -72819 or -72817?\nAnswer: -72819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(13) + -1)**2 + -4 + 3 + 4 + (sqrt(39)\/sqrt(3) + -2 + sqrt(13) + 2 - (5 + sqrt(1573) + sqrt(1573)*1)**2).\nAnswer: -6276 - 228*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 871 divided by -109\nAnswer: -871\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -3*m - 11. Let l be k(-5). Suppose l*g - 17 = 4*z + 19, -4*g - 5*z + 9 = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -9.7  (b) -1\/3  (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -30 + 64. Suppose p + 265 = -5*j, -2*j - l = 2*p + 504. Is (-1)\/2*(-4 - p)\/(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 3*g - 21 = 0, 0 = -d - 2*d - 5*g + 33. Let l be (d\/(-135))\/(3\/(-15)). Which is the nearest to -1?  (a) -0.1  (b) l  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(68) + 3*(sqrt(68) - (sqrt(68) - -1*sqrt(68))) - (sqrt(68) - 2*(sqrt(68) - 1*sqrt(68))))\/(sqrt(28)\/(-2*sqrt(343) + sqrt(343))).\nAnswer: -4 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 4515?\nAnswer: -4512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 - -738375?\nAnswer: 738374.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from {s: 2, y: 2, t: 1, h: 1, n: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 3 + 17. Suppose 1 = -2*c + o*q - 4, -4*c = q - 1. Suppose c = -3*y - 2*u - 3*u + 22, -6 = -2*y + u. Solve -k + 6 = -y*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3b647 - 1?\nAnswer: -3b648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -5*v - 15, 1 = 3*v - h + 2. Let l be (-72)\/(-2) - (-1 + v). Calculate the highest common divisor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 47240020 to the nearest integer?\nAnswer: 6873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -54581 - -113518. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 2\/1023?\nAnswer: 2\/1023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 3*l + 84 = 0, 0 = 3*r - 4*l + 125 + 3. Let x be r\/(-21) + (-6)\/21. Suppose -x*b = -b - 18. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + f = 0. Let x be f\/1 + 32815\/22. Let n = -1495 + x. Find the common denominator of -53\/22 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 9  (b) 0.3  (c) -3\/2  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 3*g**3 - 16*g**2 + 7*g - 13. Let j(s) = s**3 - 5*s**2 + 2*s - 4. Determine -7*j(p) + 2*v(p).\nAnswer: -p**3 + 3*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -2 - (-63 + 34) - 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/2 in -4, -5, 0.005232, 3, 0.5, 5?\nAnswer: 0.005232","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 AM and 6:47 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 153707542 and 461.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(2\/25)*d*d\/d**(1\/15))**(-36) assuming d is positive.\nAnswer: d**(-1812\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 58 by -608407.\nAnswer: -58\/608407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 39674.2 + -39675. Which is the second biggest value?  (a) 1  (b) 28  (c) z  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -5*n, 3*j = -n + 7*j. What is the derivative of 3*i + n + 5 - 5 + 2 wrt i?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 160*h + 134*h - 289*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 1178*k. Let y(v) be the first derivative of v**3\/3 - 490. What is h(y(g))?\nAnswer: 1178*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q - 44 - 28 = 0. Let m be 6\/12 + (-2)\/(q\/4080003). What is m rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 2*p - 8 = 0, 4887*p - 26 = 3*j + 4891*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 6851*i - 6851*i - 2 + 7*i**2 - i**3 + 6*i**2. Let s(j) = j**3 - 5*j**2 - 4*j + 1. Let v be s(6). Determine g(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2 + 12*j + 14. Let s be ((-4)\/12)\/(2\/66). Let p(d) = d**2 + 9*d - 10. Let n be p(s). What is the remainder when 27 is divided by i(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10211000 (base 3) in base 15?\nAnswer: c56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 22969\/34476 - -5\/11492. Which is the closest to 57.9?  (a) d  (b) -10  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13999, 55996, 125991, 223984, 349975?\nAnswer: 503964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -45*i + i**4 - 49*i**2 - 12655*i**3 + 6*i + 25289*i**3 - 12643*i**3.\nAnswer: i*(i - 13)*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*l**4 + 2*l**4 + 2*l**4 + l**4 - l**4 - l**4 + (0*l - 2*l + l)*(-2*l**3 - l + l) + (0*l**2 - 35*l**2 - 21*l**2)*(-10*l**2 + 5*l**2 + 4*l**2 + 3).\nAnswer: 58*l**4 - 168*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.86?  (a) 0.4  (b) -0.1  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/4 - -6*(-70)\/(-80). Solve -2*w - 3*y - m = 0, 5*y + 9 = -3*w + 2*y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42943.\nAnswer: 42943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, j: 2, v: 2, p: 1, g: 1}. Give prob of picking 2 y, 1 g, and 1 p.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**3 + l**2 + 2*l + 4. Let p be 2\/(((-2)\/65)\/((-34)\/85)). Suppose -39*w = -p*w - 39. Calculate the smallest common multiple of w and h(-4).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -4 + sqrt(4)\/sqrt(2) + (sqrt(2) + -1)*4)**2.\nAnswer: -130*sqrt(2) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5 + (-70)\/(-5))\/(-1). Let m(t) = -10 - 2*t - 3 + 0*t. Give m(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1943*y = 1951*y - 99 - 21 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5993491681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6801 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 77 + -21. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4814164 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-34) + (-261)\/(-51). Suppose 4*b + 5 = -3. Let i be (-10)\/j - 2*b. Solve -i*c - 1 + 11 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8 + (2 + 1 - 4). Let g(a) = -5*a**3 - a + b*a**2 + 12 + 5*a + 5*a**2. Let u be g(14). Round u to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*d**4 + 2*d**2 - 11*d**4 + 4*d**4 - 4*d as f*d**2 + n*d**4 + s*d**3 + b*d + i and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -178  (b) -4  (c) -5\/3  (d) -1\/11  (e) -4.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - 375?\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 67 - 57. Let m be 92\/20 - (-4)\/x. Suppose j = -0*j + m. Solve -3*s + j*g = 37, 5*s - 2 + 17 = -g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 times 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 - -10 - (12 - (-5 - -6))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1647793 is divided by 823895?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1998, 7987, 17968, 31941, 49906, 71863?\nAnswer: 97812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1032 and 3800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 + (12\/(-90) - (-6425983)\/(-15)). What is g rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.0668 - -0.05689. What is b rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 2)*(2*w**2 + w - w) - 15602737 - 10*w**2 + 15602737 - 219*w.\nAnswer: -6*w**2 - 219*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9.6 - -10. Let x = 2 + -3. Which is the closest to 3?  (a) x  (b) -2\/5  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 971*v - 486*v - 10 - 488*v - 2. Let l(z) = 1. Calculate h(x) + 6*l(x).\nAnswer: -3*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 512*t - 2127*t + 483*t + 534*t + 530*t.\nAnswer: -68*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 84664944147*y**3 - 2015916*y**2 + 12*y.\nAnswer: 3*y*(167993*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 83444444.\nAnswer: 2, 97, 215063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -593415 - -10090943\/17. Let v(t) = -21*t**3 - 2. Let m be v(2). Let q = m + a. Put 3\/7, 0.5, q in ascending order.\nAnswer: q, 3\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*(-3)\/24*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20 - -1. Let f be (-6)\/9 + 20\/o. Let g be (-1)\/(4 + -5 + 4). What is the third smallest value in -1, g, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 3*t. Let q be n(-1). Let b = -3 - q. Find the third derivative of -v**2 + 2*v**2 + b*v**2 + v**2 - 2*v**4 wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7*(3*(-2)\/9)\/(10465\/(-690)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/6))**(-11) assuming z is positive.\nAnswer: z**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 114 and 22059?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 408\/(-64) + 9\/24. Which is bigger: -8 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81 = -32*k + 111 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4\/(12\/(-9)) + 2*22?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7015, -2, 84.\nAnswer: -2, 84, 7015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.67 and -0.2.\nAnswer: 0.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + -11 + -6 + 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-6)*7*-3. Let y = 15 + j. Let o(a) = 8 - y + a + a. Let v(g) = -2*g. Determine o(v(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(1 - 28\/30). Let w be (-4)\/(-12)*-1*l. Let i = 1 - w. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 5*g = 171005, -2*g + 61006 = -4*o + 289008. Round o to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 194433?\nAnswer: -1\/194433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -66 - -43. Let j = -34 - l. Let z = j - -15. Calculate the least common multiple of z and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -697.5799 rounded to the nearest integer?\nAnswer: -698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-393)\/60)\/(-168 + 145) and 53\/230.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-5) + 570\/75. Suppose s - x = 5*s + p, p = -s - 2. What are the prime factors of s + 33 - (-4 + 0)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*l + 3*l - l)*(4 + 116*l**3 - 238*l**3 + 120*l**3).\nAnswer: 4*l**4 - 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + -30 + 11 + (-3 - -3) + 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3028631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3295 = 5*m - 8035. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 441 divided by 29903?\nAnswer: 441\/29903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 5*q - 34 - 31, 0 = q - 3*h - 27. Let z = -14 + q. Is 1\/(3*z\/(-354)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r + 2. Let x(i) = i**3 + 6*i**2 + 2*i + 10. Let t be x(-6). Let f be v(t). Let p(q) = -q**3 + 2*q**2 + 5*q + 2. Determine p(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-46624)\/(-9588))\/(-31))\/((-6)\/(-81)*-6).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 133 (base 5) in base 10?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21648577 is divided by 9096?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 2*b**3 - 9*b**2 + 4*b**3 - 7*b**3 + 4. Let l be x(-9). Find the third derivative of 9 - l*o**2 + o**3 - 11 + 2 wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 - (0 + 1)*1. Let j be (6 - 2) + (-4914)\/1229. Let d = j + -2532\/45473. Which is smaller: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2928, -4, -365, 0.\nAnswer: -365, -4, 0, 2928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/(h**4*h))\/h)\/h*h**(-7))\/((h*h\/(h*h*h**(-5\/4)))\/(h\/(h*h**2*h))) assuming h is positive.\nAnswer: h**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -2*h**3 + h**2 + 2*h + 2. Let q(k) = 7*k**2 - k + 1. Let t be q(1). Let n(y) = -y + 5. Let s be n(t). Calculate f(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10 or 3\/13?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*(8\/(-4))\/((-5)\/1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.186881572 to four dps.\nAnswer: 2.1869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 228807 is divided by 57200?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 10946023 divided by 6\nAnswer: 10946023\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 55*h**3 + 988*h**2 + 16*h + 850. Give x(-18).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 547229.\nAnswer: 547229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 111*k**2 - 176*k**2 + 94*k**2 - 2.\nAnswer: 29*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h\/h**(4\/3))\/h)\/h)\/(h*h**(2\/9)))\/((h\/(h*h**(2\/7)\/h))\/(h\/(h*h**(4\/5)))) assuming h is positive.\nAnswer: h**(-1597\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 252 and 140?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*b - 5*b**2 - 4*b**3 + b**2 + 36*b**4 - 2*b**3 - 11*b + 8*b**3 to the form c*b**2 + i + s*b**4 + o*b + x*b**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 241837300?\nAnswer: 2, 5, 2418373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 12 + -2*(-6)\/4. Solve 6*m - o = m + 3*x, 0 = m + 2*x - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z - 4. Let i(s) = 6*s**3 - 2*s**2 - 2*s**3 - 1 + s**3 - 2*s. Let d be i(-1). What is the units digit of y(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 20404?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x**3 + 257*x + 29*x - 2 + 179*x.\nAnswer: x**3 + 465*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -2*k + 12. Let x be v(8). Let u be 1 + 0\/(x\/4). Solve -4*d = 3 + u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -234, -3\/8, -1\/9.\nAnswer: -234, -3\/8, -1\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29 - -29.04. What is the nearest to 1\/4 in 0, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -191*(-15)\/(-630)*18 - -6*3\/21?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*s - 275*s + 73*s + 69*s + 75*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 600 and 7464?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (144\/(-8) - -20)\/(3\/(21\/2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525.0291 millennia in years?\nAnswer: 525029.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z**5\/8 - 3*z**4\/8 - 65*z**3\/8 - 225*z**2\/8 - 37*z - 33\/2 = 0. Calculate z.\nAnswer: -3, -2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 7*q**3 + 2*q**2 - q. Suppose -o - 26 - 1 = 5*b, -5*o = 2*b + 20. Let x be -2*o*(-2)\/(-8). Calculate the lowest common multiple of 18 and m(x).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 533547018.\nAnswer: 2, 3, 19, 131, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4068664 is divided by 4546.\nAnswer: 4540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 116 + r - 57 - 59.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + ((sqrt(187) - (-2*sqrt(187) - sqrt(187))) + sqrt(187))\/sqrt(11) - (3*sqrt(170))\/sqrt(10) - 2*(-1 + sqrt(17) + -3*(sqrt(17) + -1)))**2.\nAnswer: -56*sqrt(17) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/38 + (-632955)\/(-285) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*l + 76 = 28. Solve 0 = -l*d + 4*t + 8, t + 2*t = d - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 divided by -3095.\nAnswer: 9\/3095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**3 + 6*t**2 - t + 4. What is u(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6d5 - -2?\nAnswer: 6d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 7.83092 tonnes?\nAnswer: 7830920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 693048080 to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 716732243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 12\/(-45)*6*-16820. Suppose l = -42088 - n. What is l rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -15354*o**3*r + 5*o**3 - 5*o**2 + 434*o wrt r.\nAnswer: -15354*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 1:26 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*x*x\/x**(-2\/3))\/x**(-6\/11)*(x\/x**(-6))**(-2))**(-2\/11) assuming x is positive.\nAnswer: x**(580\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2002.9996 or -1\/12?\nAnswer: -2002.9996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 7031, 2\/17, 4, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -107238, -107320, -107436, -107586?\n\"Answer: -17*f**2 - 31*f - 107190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 60*g - 1. Is d(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**2 + 60*c + 1358. What is o(-17)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tn when two letters picked without replacement from hnnfthhtfjhhfjj?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000524804 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the third derivative of -w**4\/12 - 2*w**3\/3 - 739*w**2. Let d(a) = 1. Calculate -4*d(p) - k(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 225 + -4?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of y**5\/60 - 3*y**4\/8 - y**3\/6 - 31*y**2. Let k be a(19). Let z = k - 62. List the prime factors of z.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -61 - -81. Let p be (-87)\/2*(-11)\/(33\/t). What is the third derivative of -p*x**2 + 11*x**5 - 32*x**5 - 16*x**5 + 281*x**2 wrt x?\nAnswer: -2220*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 32*q + 8*q - 54*q + 35*q + 2*q**2 to k + m*q**2 + o*q and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 200 + -176. What is the second derivative of -2 - 15*l**3 + 46*l**3 + 22*l + 39*l + d*l**3 wrt l?\nAnswer: 330*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/18702 and 37\/90?\nAnswer: 93510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 3, y: 13}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eweeeeeeeeeeeeewee. Give prob of sequence we.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/10*-5*10\/75. What is the second smallest value in -0.3, n, -0.4, -1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(-25)*-3)\/((-1)\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4604388 divided by -3\nAnswer: -1534796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 3*l + 3, 10 = -2*t - 5*l - 1. Solve t = v - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*u**3 + 116*u**3 + 3289127*u - 3289129*u.\nAnswer: 126*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*u = 69*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 - (-7)\/(-9) - (-2260)\/(-45). Let a be 30\/i - 3\/(30\/214). Let d = a + 22. Solve d = -3*v - 0*v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 395257522 to the nearest integer?\nAnswer: 19881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 66812.\nAnswer: 2, 16703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 247 - -4?\nAnswer: 24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 7) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 26\/5 of a millennium?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 27 - 27. Let j be (-30)\/15 - (-4 + w). Suppose 0 = -5*x - 4*f + 125, 2*x - 2*f - 100 = -j*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86 smaller than 72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*u - 4*u + 2*u - u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*g + 15*g = 0. Suppose 8*p - 2*p - 240 = g. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42413515 (base 7) to base 4.\nAnswer: 31233000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**3 - 22*d**2 + 19*d + 44. Let c be y(21). Is c\/(5*(-2 - (-71692)\/35845)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, m: 3, x: 1, k: 7, w: 3, j: 2}. What is prob of picking 2 m and 2 k?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 65121165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 37*c - 42*c + 1437, -2*s + 5*c = -1427. List the prime factors of s.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 20*k + 147 - 47 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - 45*u + 24*u + 7 = 6*t - 25*u, -8*t - 6*u = -52 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -100.5 rounded to 0 decimal places?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes after 1:11 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.17  (b) -1487061  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 28*t**2 - 1337*t - 331. Give r(48).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -9*m**2 + 6*m - 5. Let o(d) = 10*d**2 - 8*d + 3. Give -4*b(n) - 5*o(n).\nAnswer: -14*n**2 + 16*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 93 times 6\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 2*s, 5*a - s + 6*s = 0. Let b be a + (1 - -1) - 3. What is the units digit of 15\/5 + b + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(1\/11)\/(q**(-9\/5)*q)*(q**(3\/2))**(-14\/3) assuming q is positive.\nAnswer: q**(-336\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*w + 0*w + 4*w**2 + 3*w**3 + w**4 - 4*w**2 = 0. What is w?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-19)\/(2223\/(-6)))\/(2\/2880). Which is greater: 74 or k?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4722 - 4\nAnswer: -4726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, a: 7, j: 4, q: 2, w: 1, m: 4}. Give prob of picking 3 m and 1 j.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 - 5*y**2 - 4*y + 12. Let c be w(5). Let a = 17 + c. Solve -8*x + 5*x = -a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8746 = -7*j - 1158. Suppose 4*c - 5*o = j, -4*c - c - 5*o + 1400 = 0. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 37 + -30. Suppose i*m - 910 = -3*m. Calculate the remainder when m is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*j - 24*j + 59*j - 8*j - 6*j - 8*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2680?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(112) + -1 + sqrt(175) + 3)**2 - ((sqrt(7) + (sqrt(7) + -1 + sqrt(7))**2)*-2 - (0 + sqrt(7) + -1)**2)).\nAnswer: 84*sqrt(7) + 1911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a - 6*a - 7*a)*(8 - 8 - 3*a**2 + (-5 + 5 - 2*a)*(-2*a + 5*a - a) - a**2 + 2*a**2 + a**2).\nAnswer: 50*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 87\/(-4)*6*123\/((-35055)\/190)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -49 - -8102?\nAnswer: 80a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - ((4 - -46) + -10).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 12*i**2 + 14*i - 69. Let t(n) = -19*n**2 - 22*n + 104. Give -8*q(v) - 5*t(v).\nAnswer: -v**2 - 2*v + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 953960, 953965, 953970?\nAnswer: 953975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -1180*w**3 + 593*w**3 + 2*w**2 + 3*w**2 - 3 + 588*w**3 in the form o + y*w**3 + c*w + t*w**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 228 - 215. Let c(o) = o**3 - 9*o**2 + 16*o - 13. Let i be c(7). What is the highest common divisor of r and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66244.77 hours to milliseconds.\nAnswer: 238481172000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2740 is divided by -4 - -9 - (-16 - (13 + -8))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -3*w - 1. Let v be l(-1). Let d be (v\/(-6))\/((-2)\/6). Let f = -54 - -272\/5. Is d < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -10*m**2*v + 32586*m**2 - 22*m*v wrt v?\nAnswer: -10*m**2 - 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooch when four letters picked without replacement from hchochccho.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 74 by -1.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llezizill. What is prob of sequence zli?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from qooo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -344*d = -349*d + 195. Which is bigger: d or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-20)\/l*l**(-27)\/l*l**(-1)\/(l*l**(-16)))**(-20) assuming l is positive.\nAnswer: l**680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*d + 3*d = -9506200. What is d rounded to the nearest 10000?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -2, 2, -1299?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -3) + 3 - (6 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 - -12. Let w(d) = 4*d**2 + 3*d. Let k(y) = 7*y**2 + 5*y. Determine r*w(o) - 3*k(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2*(-6 - (-171)\/18)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -817 divided by -2.\nAnswer: 817\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1116 a factor of 861707898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 156 + -937\/6. What is the closest to 3\/2 in s, 2\/5, 10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -289 + 551 - 262 - 219*q**2.\nAnswer: -219*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**4 - 4*b**4 + 6*b**4 + (-b**2 - b**3 + b**2)*(-2*b - 1 + 1) - 112*b**4 + 170*b**4 - 127*b**4.\nAnswer: -66*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -81.69 + 76.651. Let s = j - -0.039. Let o = 0.1 - 0. What is the third biggest value in s, -1\/4, 1\/5, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(-22)*(-6)\/12 + 24\/444.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1150469, -1150462, -1150455, -1150448, -1150441?\n\"Answer: 7*r - 1150476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2 - 3*y - 43. What is w(0)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1944, 2096, 2518, 3348, 4724?\n\"Answer: 23*c**3 - 3*c**2 + 1924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -169 and -450.\nAnswer: -619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-11)\/4 + 1\/(-4). Suppose -3*p = -6*g + 2*g + 2, 2*p - 3*g = -1. Put q, -5, p in increasing order.\nAnswer: -5, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -160 + 247. Suppose o = u + 75. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 290873050?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7\/(-21) + (-52)\/6. Let x(b) = 6*b**3 + 4*b**2 - b - 4. Let i be 42\/(-10) + 8\/40. Let s(j) = -13*j**3 - 9*j**2 + 2*j + 9. Calculate i*s(w) + y*x(w).\nAnswer: -2*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 13032452 (base 7) in base 6?\nAnswer: 41220152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1115235 + -42132?\nAnswer: 1033103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**3\/15 - 2684*f**2\/3 - 8944*f\/5.\nAnswer: -2*f*(f + 2)*(f + 6708)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -486, -475, -452, -411, -346, -251, -120?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-345)\/(-9315)*297)\/(((-1)\/(-1))\/1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 2:42 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 0.06?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of 0*s**3 + 0 + 2*s + 1\/4*s**4 + 0*s**2. Let q(u) be the first derivative of 2*u**3\/3 + 1028. What is g(q(k))?\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.008028 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 202 - 31 - 10*c**2 + 643 + 8*c**2 - 82.\nAnswer: -2*c**2 + 732","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32931*j + 98779*j + 2 - 32890*j - 32896*j.\nAnswer: 62*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes before 9:06 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105248*x + 105266*x - 180 = 0 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (689\/39 - 31)\/(24\/(-27))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 9561, 19123, 28691, 38265, 47845, 57431, 67023?\n\"Answer: 3*v**2 + 9553*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28)\/18 - ((-72)\/16 - -3).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(66) + sqrt(66)*-3)*-3 + sqrt(66) + 5*sqrt(66)*-3)\/((2*-2*sqrt(72))\/((sqrt(84)*-2)\/sqrt(7))).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 38 and 209.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.472 + -0.4. Round o to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(96)\/sqrt(4) + -1*sqrt(600))\/(-2*sqrt(200)*5).\nAnswer: 9*sqrt(3)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14.090107 + -1.090237. Let a = o - 13. What is a rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5)\/(-6) + -1 - 133\/(-42). Solve w*y + 1 = -2*m, -y - m = -0*m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/9144100 and -79\/2612600.\nAnswer: 18288200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 12784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -2*w**3 + 381498*w**2 - 18308448*w + 219687552 = 0.\nAnswer: 24, 190701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 46965912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(330) - (sqrt(330) - sqrt(330)*-3 - sqrt(330) - sqrt(330)))\/sqrt(6))\/(sqrt(1100)*-3).\nAnswer: sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -56 + 192. Let q be 11\/(-24)*-2 - 34\/c. Is q < 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 378\/(-36)*(2712\/9)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 22*j - 4. Let h be l(0). Sort 0, -1, 4, h in increasing order.\nAnswer: h, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/134201 and -127\/2412.\nAnswer: 4831236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**5 - 63*f**4 + 6*f**3 + 386*f**2 + 507*f + 189.\nAnswer: -(f - 3)*(f + 1)**3*(f + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b**2 - 180*b = 0.\nAnswer: 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 43*m + 256*m - 11362 for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, l: 2}. What is prob of picking 2 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.24, -0.4, -2, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.08864341 to four dps.\nAnswer: -0.0886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 706276 is divided by 50333?\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fourty-two fifths of a gram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5955841 from 2432.95.\nAnswer: 5958273.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1 - ((-16)\/24 + 10394\/(-6)) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-1\/53))**(-2\/35)\/(m*m*m**(1\/16)*m**39*m) assuming m is positive.\nAnswer: m**(-1250079\/29680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/1045 and 111\/6830.\nAnswer: 1427470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 745 is divided by 380.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -120 + 122 + 94*j - 13*j**2 - 11*j**2 in the form c + l*j**2 + k*j and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -34*m**2 - 4*m - 85. Let p(o) = -71*o**2 - 9*o - 169. Let s(f) = 9*c(f) - 4*p(f). Let z(u) = -u**2. Calculate s(z(r)).\nAnswer: -22*r**4 - 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*h = 141*h - 56*h - 912 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 7 - 10 - 8*j + 30 + 11*j. Let k be w(-5). Let u(o) = -o**2 + 22*o - 20. Is u(k) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the third derivative of -f**8\/48 - 7*f**5\/20 + 10*f**2. What is the third derivative of z(d) wrt d?\nAnswer: -420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = 22*j - 126. Put -4, -9, j in increasing order.\nAnswer: -9, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -53, -697, -1935, -3779, -6241, -9333?\nAnswer: -13067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 72, -161, -558, -1125, -1868?\n\"Answer: -n**3 - 76*n**2 + 2*n + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 3*d**3 - 3*d**2 - 10*d + 3. Let p(j) = 5*j**3 - 5*j**2 - 18*j + 7. Let z(l) = -7*i(l) + 4*p(l). Calculate z(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 60, 50, 34, 12, -16?\n\"Answer: -3*l**2 - l + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.5  (b) -1\/6  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z**3\/3 - 58*z**2\/3 + 122*z\/3 - 62\/3 = 0.\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 9*m. Let z(a) = -a**2 - 2*a + 2. Let x(b) = -3*b**2 - 7*b + 7. Let i(d) = -2*x(d) + 7*z(d). Determine g(i(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -2*g + 3*g. Suppose 5*m = m - 3*o - 11, 0 = 3*m + g*o. Let i be (1*-50)\/(m\/400000). Round i to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 + 8*b**2 + 4*b - 3. What is the units digit of g(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.37 - -1.37122. Round h to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a**2 + 0*a**2 - 3*a**2)*(0*a**3 - 3*a**3 + 2*a**3) - a**5 + 3*a**4 - 3*a**4.\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 15*y**3 - 20*y**2. Let w(k) be the first derivative of k**4\/2 - k**3 - 9. Determine -3*h(t) + 20*w(t).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*n**3 + n**3 - 18*n**3 + 5*n**3.\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/((-2)\/(-3) - 0). Let j = -0.9 + 1. Let s = 3.95 - -0.05. Which is the nearest to j?  (a) w  (b) s  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28, -76, -154, -262?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 99\/12 - (-1)\/(-4). Suppose -12 = -2*u + t, 4*u + 3*t - 14 = -0*u. Solve -j - 11 = 5*a + k, j - 3*a = u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1634 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 2 d when three letters picked without replacement from oolodondffnxfdn.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8622 + -8618. Let p(f) = 7*f**2 - 23*f - 1. Give p(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9169 = 14*v + 643. List the prime factors of v.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -73276263, -73276247, -73276231, -73276215?\nAnswer: -73276199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -27188 + 28069. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-27)\/(-6))\/(-9)*(-1 + 1). Suppose -2*k + o*w + 2*w + 212 = 0, -w - 433 = -4*k. What are the prime factors of k?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = c - 10920. Suppose f - c = -11*f. Does 35 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q + 1. Let u(a) = a**2 + 2*a - 2. Let r(x) = 2*s(x) + u(x). Let v(y) be the first derivative of 53*y**3\/3 - 9125. Give v(r(i)).\nAnswer: 53*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -31 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -9*z + 3. Let l(g) be the first derivative of -5*g**2\/2 + g - 98. Determine -5*l(h) + 3*v(h).\nAnswer: -2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 230653445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, 10.21, -48, 2\/7, -1\/4 in decreasing order.\nAnswer: 10.21, 2\/5, 2\/7, -1\/4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - 2a332ac?\nAnswer: -2a332a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + 4. Let x(d) = 3*d**2 - 14*d - 3. Let h(p) = -3*p**2 + 14*p + 5. Let b(v) = 3*h(v) + 4*x(v). What are the prime factors of b(w)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 - 1 - 3*o + o + 3*o. Suppose 5*z - 3*b - 1 = 0, 2*z + 7*b = 2*b - 12. Let d = -18 + 12. Let v(w) = -8*w**3 - 6*w + 6. What is d*c(j) + z*v(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 11*d + 2 + 21*d + 6*d + 8.\nAnswer: 16*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 326514049 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7258 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1243\/476 or 3?\nAnswer: 1243\/476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0  (b) 1548000  (c) -0.02  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 108337399 to the power of 1\/4, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*g**2 + 22*g**2 + 21*g**2 + 10*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 - 10 - 18)*(3*s + 2*s**3 - 3*s).\nAnswer: -34*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002839731 rounded to 6 decimal places?\nAnswer: -0.00284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = 4342 - 4312, 0 = -4*g + 5*z + 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**2 + 4*i + 2. Let j be 0 + 1\/((-2)\/4). Let v be o(j). What is the remainder when (2\/(-6))\/(v\/258) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -4 - -18*(-34)\/4. Let c = 162 + j. Solve 0 = 3*z + c*s - 17, -4*s - 4 = -z - z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -183 - -184. Let j = -1049\/10 + 105. What is the nearest to 0.2 in n, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6a - -119733?\nAnswer: 1197a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 40 + 49 = 4*b, 4*b + 3*n - 79 = 0. What is the remainder when (1\/((-2)\/(-86)))\/1 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 + 3*i**2 - 3*i - 4. Let f be h(-3). Calculate the highest common divisor of f and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -636 + 529 + (76 - -10)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15?  (a) -5\/4  (b) 0.5  (c) 1\/7  (d) 0  (e) -3.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-476)\/(-10) - 12\/(-30) and 20?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71*n + 45*n + 28*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 25*c + 630. Let m be l(-25). Solve -2*f - 12 = 2*y, 2*f = 5*f - m*y - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 41 + -40.8. Which is the nearest to u?  (a) -0.4  (b) 4  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 = 5*x - 3*m, 18660*m - 18646*m + 93 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -4*g + 22. Let t be w(4). Solve -y + t = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 143.03 - 144. Round o to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22136463493195+-3\nAnswer: -22136463493198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 3961 divide 343092450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2\/13, 15.1 in decreasing order.\nAnswer: 15.1, 3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 32572*j**2*m**2*v + 2*j**2*m*v + 290*j**2*m + 5*j*m**2*v + 368*j - 17*m**2*v - 8*m wrt j.\nAnswer: 65144*m**2*v + 4*m*v + 580*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 + (3\/3 - -6). Suppose -u*d - 10 = -4*s, -3*d + 11 + 0 = s. Suppose -1922241 - 3127759 = -s*b. What is b rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5\/(-10)*-18 - 1*4. Suppose -2*i = 2*i + 2*d + 2, 35 = 5*i - k*d. Factor 11*u**2 - 22*u**i - 27 - 18*u + 8*u**2.\nAnswer: -3*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -130*a**2*t**3*w**2 + 2*a**2*t**3 + 41*a**2*w + 4*a*t**3*w + 2*a*w**5 wrt w?\nAnswer: -260*a**2*t**3 + 40*a*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (68\/(-16))\/(20213\/(-464)).\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 163592567 a multiple of 1070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4313 + -4321. Let m(n) = 29*n**2 + 8*n + 8. Let b(z) = -10*z**2 - 3*z - 3. Give y*b(l) - 3*m(l).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 231 is divided by 219?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2113113.166265 + -2347497.1492537. Let a = f - -234384. Let h = a + -0.017. What is h rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(1900)*-1)**2*-2 + (-4*sqrt(1900)*2 + 4)**2.\nAnswer: -640*sqrt(19) + 117816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 5*o - 5*i, 29 = 4*o + i - 6*i. Suppose p - 17 = -3*l, -o = -l - 2*l + 2*p. Solve -2*n + 28 = -l*f, -7*f - 36 = -4*n - 2*f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) -0.1  (c) 3  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -608 - -639. Suppose 23 + r = f + 5*l, f - 50 = -4*l. Which is bigger: f or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**3 + 366940*c**2 - 366925*c - 733870.\nAnswer: -5*(c - 73387)*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y + 134. List the prime factors of d(-13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -314, -317, -322, -329, -338, -349?\n\"Answer: -t**2 - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 86779 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: Calculate 1613240 divided by -403310.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 57 + -61. Let p(t) = -t**3 - t - 1. Let h(d) = 3*d**3 - 5*d**2 + 2*d - 1. Let l(n) = w*p(n) - h(n). What is l(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19 - 16. Suppose 0 = 3*t - 0 - 18. Suppose -2 = -2*r + t. Solve f*w - 16 = -r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vnvvnvvvvvvvnvv. What is prob of sequence nn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 240083369891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*p + 858812 = -277978. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5405 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 p(j) = 47*j - 324. Give p(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (-3 + 3 + 0 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002155218402 rounded to seven dps?\nAnswer: 0.0021552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 218 - 214. Calculate the smallest common multiple of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(4 + -4*sqrt(700)*2 - (-5 + 2 + sqrt(700) + 0 + sqrt(700) + -4))**2.\nAnswer: -13200*sqrt(7) + 420726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2 - 4*z - 5. Suppose 5*d = 2*d - 18. Let y be p(d). Let s = y + 22. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 1\/3  (c) -0.06  (d) 2\/9  (e) -3310  (f) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -929, -3660, -8237, -14678, -23001, -33224, -45365, -59442?\n\"Answer: -3*j**3 - 905*j**2 + 5*j - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10110 (base 2) in base 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(125) - (4 + sqrt(125)))*6 + sqrt(30)\/((sqrt(486) - ((sqrt(486) - sqrt(486)*-1) + sqrt(486))) + sqrt(486)))*-5)**2.\nAnswer: 400*sqrt(5)\/3 + 1166525\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 32178\/(-10) - (-5)\/(-375)*15. Is (-4 - x\/7) + 10\/35 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*l**2 + 7*l**2 + l**2.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-10 - -15 - 11) + 11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 32427 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 133\/99 - 1\/99. What is the closest to 1 in -2, k, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 19661*f**4 + 2*f**3 + 239639 with respect to f.\nAnswer: 78644*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -40487 by 6.\nAnswer: -40487\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 31062715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -142 (base 5) in base 7?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of 2\/33*u**3 - 19 + 32\/11*u - 8\/11*u**2. What is k in j(k) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**3 - 4*i**2 - 2*i + 1. Let n(y) = -4*y**3 - 12*y**2 - 206*y + 3. Calculate -6*f(h) + 2*n(h).\nAnswer: -2*h**3 - 400*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.1559 rounded to one decimal place?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4094062?\nAnswer: 2, 7, 229, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6708 is divided by 1585?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7005 + -6654. Solve 343 = -8*h + j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 888351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3 and 37998.\nAnswer: 37998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-10)*(-690)\/276?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.5585 to 2 decimal places.\nAnswer: 1.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/6*(-3)\/5*1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 57 + 52 - 42*z + 58 - 167. Let t(o) = -2*o**2 + 3*o. Calculate t(w(v)).\nAnswer: -3528*v**2 - 126*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -5*v - 749, u - 5*v = 449 - 273. Solve 4*l = -2*b - u + 177, -2 = 5*b - l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00057015686 to five decimal places.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n and 1 c when four letters picked without replacement from {c: 14, n: 5}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 65.34 rounded to zero dps?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*(x*x**2*x)\/x))**22*(x\/x**(-11\/3))**1 assuming x is positive.\nAnswer: x**(-184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 830 a factor of 2006777320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 500 + -457. What is the second derivative of 1 - 8*y**2 - a*y - 141*y**2 - 3 + 22*y wrt y?\nAnswer: -298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178470 is divided by 29740?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*l**4 + 65*l**2 + 60*l.\nAnswer: -5*l*(l - 4)*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 139940 to the nearest 1000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -7835115.04 rounded to the nearest one thousand?\nAnswer: -7835000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101000100100 - 1100010110010?\nAnswer: -111010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1702126 is divided by 425516.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-36)\/(-16)*(4\/4 + 3). Suppose -p*j = -13*j. Solve j = -2*z - 2 + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 7*l**2 - 153*l - 538. Determine h(25).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -9 + 9\/(-162)*-166. Factor -2\/3*l - y*l**3 + 0 - 8\/9*l**2.\nAnswer: -2*l*(l + 1)*(l + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4941460*d**2*r**2*v - 2*d**2*r*v + 128*d**2*v + 37*r*v wrt r.\nAnswer: 9882920*d**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x - 531027 = -17*x. Suppose -2*w + 147509 = 5*s + w, -2*s + x = w. What is s rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5633 - -5?\nAnswer: 5638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n**2 - 3*n**2 + 4*n**2)*(5 - 4 + 13)*(3 - 6 - 1).\nAnswer: 112*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -234*h + 73 + 161 = 0. Sort 2, h, -19, -5.\nAnswer: -19, -5, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -58*r + 465. Let a be j(8). Is a < 13\/106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92 + 92 - 70*a.\nAnswer: -70*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2*h + 227. Does 35 divide q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 264\/78848*272 - 5\/((-70)\/(-4))\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/2989?  (a) 0.5  (b) 0.06  (c) 5  (d) 3  (e) -2  (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 163169.\nAnswer: 163169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -389*w - 300072 = -35*w - 4189824. Does 83 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 + 11*w**2 - 18*w + 3. What is p(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 3990616980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 9 = 2*z - 0*p, 3*z = p - 26. Let l be 50\/((-2)\/1) + -3. What is the units digit of (-51)\/z - (-8)\/l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -230 + 13033?\nAnswer: 12303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 22910, 22786, 22622, 22412, 22150, 21830, 21446, 20992?\n\"Answer: -k**3 - 14*k**2 - 75*k + 23000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 3 = 3*g. Let r = g + 1. Suppose r = -k + 4*k. Is k greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 3367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21 + (-4 - 24) - (0 + 4) - 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**3\/5 + 671166*v**2\/5 + 37538649963*v\/5.\nAnswer: 3*v*(v + 111861)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - -1. Suppose 3*u - 4 = l*u. Let m(r) = -9*r + 2. Is m(u) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:14 AM and 7:27 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2*w**2 + 14*w - 24. Let v be z(6). Which is greater: -21 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 + 2. Let z(i) = i**3 - 7*i**2 + 6*i + 6. Let c be z(a). Suppose -s = -c*s. Solve s = 6*b - b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11010010010100 + 11010000100?\nAnswer: -10111000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.01 - 0.01. Is 13 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - 2 - (-7)\/(-1 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -3*f + 47589, 69*f = 70*f - 2*x - 15867. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*r - 3*r**2 + 11*r - 7*r + r**2.\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16 - 21. Sort k, 0.3, 0.6.\nAnswer: k, 0.3, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 6:28 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1440 and 53592?\nAnswer: 3215520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -2*l + 4*y - 19, 4*l + 35 = 5*y. Let v(r) = -1. Let h(n) = -n - 6. Let x(b) = h(b) - 2*v(b). What is x(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q + q + 4*q + 4*q + 3*q - 5*q + (-1 - 1 + 0)*(3*q + 2*q - 6*q) + 4 - 4 - 3*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-24)\/28)\/((-1)\/(-7)). Let g(a) = 4*a**3 + 3*a - 4*a + 6*a**2 - 3*a**3 + 5*a. Determine g(q).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 341185448?\nAnswer: 2, 42648181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the third derivative of h**6\/120 + h**5\/15 - h**4\/8 + 7*h**3\/6 - 13*h**2. List the prime factors of c(3).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 30819 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*-2*(((sqrt(26)\/sqrt(2) - sqrt(13)) + 1)**2 + sqrt(13)).\nAnswer: 12 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 986 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -120, -21, -3, 4, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16479 + -16472. Which is the nearest to 0.4?  (a) -5  (b) y  (c) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 - 3*h + 18. Let t(q) = -5*q + 29. Let p be t(7). Let c be x(p). Which is bigger: c or -6\/37?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + -9. Let d(z) = 23018*z - 5 + 28410*z + 5 - 4. Let b be d(y). What is b rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102 (base 4) to base 14.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15186*t**3 + 13396*t**3 + 2500*t**3.\nAnswer: 31082*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.7 times 89293.6\nAnswer: 62505.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -105, 388, 1737, 4374, 8731, 15240, 24333, 36442?\nAnswer: 51999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10, -30, -52, -76?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(76) + sqrt(76))*-6)\/(sqrt(144)*6).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 times 0.171?\nAnswer: 6.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -0.3  (c) 9  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/16, -12, -3\/7, -12396, -2.\nAnswer: -12396, -12, -2, -3\/7, 3\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1639753*d - 2022801?\nAnswer: -1639753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2066)\/(-9297))\/((-14)\/(-36)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/((s**(2\/9)*s)\/s*s)*s)\/((s\/(s*s\/(s**(-5)\/s)))\/s))\/(s**1)**(-21) assuming s is positive.\nAnswer: s**(268\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 8*b + 28 = 3*o, 2*b = -o - 9. Let d be (-1 + 0 + 0)*(-1)\/o. Let n be 240\/126 + -3 + 0 + d. What is the third smallest value in -1\/6, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5913*k**2 - 5913*k**2 - 7*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -261*v + 1137. What is the remainder when u(-3) is divided by 957?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j + 6*j - 3*j)*(-4*j + 0*j - 5*j) + 2*j**2 - 3*j**2 - j**2 + 72*j - 7 + 71*j + 7*j**2 - 144*j.\nAnswer: -13*j**2 - j - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 0 - 8*w - 1 to q*w + g and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (5\/(-3))\/((-186)\/55800) is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -55*r + 144. Calculate q(5).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7918\/45 + -882\/5. What is the closest to -0.1 in 624, z, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -445771 (base 8) to base 2.\nAnswer: -100100101111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 - 6)\/((-2)\/1). Solve 0 = 2*u + z*u - 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -21*r**2 + 11*r - 22. What is w(3)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 488\/8 + 4 + -6. Solve 43 - t = -4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30.48747kg to grams.\nAnswer: 30487.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -38580187.7 to the nearest 100000.\nAnswer: -38600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are -39884 and -358952\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -804 or -787?\nAnswer: -787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.1 + -1. Let o = 69.67 - -0.13. Let a = o - 69. What is the third smallest value in -0.3, a, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -128618120 times -0.09\nAnswer: 11575630.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 20265, 20266, 20267, 20268, 20269, 20270?\n\"Answer: i + 20264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6310220832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -2. Let u = 0.4 + l. Let j = 3081 - 3080. Which is the third biggest value?  (a) -2  (b) j  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-510)\/6)\/(-5)*(-18)\/(-51)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x\/(x\/x**1)*x))\/(x\/(x*(x\/(x**(-1)\/x*x*x))\/x)))**(-32)*((x*x**(1\/2))\/x**0)**(-2) assuming x is positive.\nAnswer: x**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in three sixteenths of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7253, 57947, 195553, 463529, 905333, 1564423?\nAnswer: 2484257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 358406 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(6\/7)*d)**(-18)*(d**(-13))**46)**(1\/18) assuming d is positive.\nAnswer: d**(-2273\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2*-21*((-3)\/(-2))\/((-7956)\/2210)\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 5 = -1, -4*v + 5*j - 50 = 0. Suppose -2*l - 2*l - 4*q = -64, -69 = -4*l + q. Let o = v + l. What is the remainder when 19 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 + -6 + (5 - (4 - 1)) + 3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 68 + -41. Suppose -2*q - 3*r = -0*r - l, 0 = 4*q + 2*r - 34. Calculate the remainder when 48\/(-9)*(-2 - 1) is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 124 - 120. Suppose 0 = 2*m + j, l + 4*l + 3*m = 134. Suppose -2*k + 54 + 2 = 0. What is the highest common factor of k and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 - 16 + 1613*z**2 + 123*z**2 - 334*z**2.\nAnswer: 1402*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28464 is divided by 793?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-76)\/70 - (-3)\/(-30)*-8. Put 0, i, -0.065 in increasing order.\nAnswer: i, -0.065, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 362083*c**3*g + c**3 - 15605 with respect to g.\nAnswer: 362083*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l**2 - 4*l**2 + 2*l**2)*(0 + 1 + 0)*(0*l**2 - l**2 + 3*l**2 + (-2*l - 3*l + 3*l)*(2*l - l + l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h and 1 u when four letters picked without replacement from hhuuuuuuuuuuhuu.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h - 225 + 0*h - h + 225 - 19*h**2. Let m(k) = 66*k. Determine y(m(n)).\nAnswer: -82764*n**2 - 132*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (22580\/58)\/(-9 + 13). Let y = i + -195\/2. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -287064*s**2 + 2*s. Let l(w) = -2*w**2. Give a(l(o)).\nAnswer: -1148256*o**4 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33922265?\nAnswer: 5, 13, 521881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 535*y + 16 + 3428 = 769 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*p = 20*p + 8. Suppose 34 + 0 = -p*u. Let l(j) = -43*j - 34. Is l(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6292569459 minus -253?\nAnswer: 6292569712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1467, 3015, 4563, 6111, 7659?\n\"Answer: 1548*z - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 346007?\nAnswer: 179, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 4*m - 219. Let v = m - 45. Suppose 4*j + 2*l - 36 = 0, 3*l = -3*j + l + v. Which is the nearest to -1?  (a) -3  (b) -0.4  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, -26, -11977, -16 in decreasing order.\nAnswer: 1, -1, -16, -26, -11977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/5)\/((-8)\/5). Let d be (5\/2 + -1)*-2. Which is the nearest to 0.1?  (a) d  (b) n  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1063596357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -744.771 rounded to the nearest ten?\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 0 + 1 - 2*a - a. Suppose 10946*d - 10959*d = -26. Calculate o(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 + 6*u**2 + 5*u. Let y be n(-5). Let c(m) = -m. Give c(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6170 + -6170.1. Which is greater: s or 2.486?\nAnswer: 2.486","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4399 - 2927. Calculate the greatest common factor of 92 and w.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 145*i + 6*i**3 - 141*i - 52*i**3 - 5*i**3 + 3*i**3 + 3*i**3 + (-i + 0*i - i)*(0*i**2 + 0*i**2 - 2*i**2) - 3*i**3 + 3*i - 3*i.\nAnswer: -44*i**3 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10428 * 0.1.\nAnswer: 1042.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.55 - 393.55. Let d = r + 391. What is the second smallest value in -0.1, d, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 + 19*c**2 + 15*c - 14. Let r(y) = -y + 2. Let w(f) = a(f) - r(f). Let v be w(-18). Calculate the highest common divisor of v and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1451762 = 33*o + 242213. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence th when two letters picked without replacement from {h: 2, x: 1, i: 2, p: 1, t: 2, d: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -33715*o + 33678*o + 259 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8915?\nAnswer: 5, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 133411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 71299\/24 - 2970. Find the common denominator of o and 41\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v**2 - 4 + 6 + 16 - 10.\nAnswer: 3*v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6454878?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**1)**(5\/4)\/(f*f*f**(-1\/6)*f*f*((f**(-2)\/f*f*f)\/f)\/f) assuming f is positive.\nAnswer: f**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/7, -0.1821, -3\/653?\nAnswer: -0.1821","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 5*a, -2 - 43 = -4*k - 5*a. Let q be ((-856)\/20)\/2 + 2\/k. Calculate the remainder when 7\/q - (-84)\/9 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 AM and 11:56 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4840\/(-1760)*(-32)\/44?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -315, -2041, -6723, -15837, -30859, -53265, -84531?\n\"Answer: -246*r**3 - 2*r**2 + 2*r - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 5*l + 12 = -3*g, 3*g = -9. Suppose -5*a + l = -2*a, 109 = 2*y - 5*a. Calculate the greatest common divisor of 627 and y.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21868819277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20*23\/(-1380)*-39.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 - 1. Suppose s*h - 3 = 6. Solve -w - 1 = h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1, 40, 143, 340, 661, 1136?\n\"Answer: 5*x**3 + 2*x**2 - 2*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = -8*u + 14*u. Let z(n) = -n**3 + 7*n**2 - n + 8. What is z(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3134 - -10925. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 176128 and 29541?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14 + 22*m - 46*m + 15)*(2*m**2 - 9*m**2 + 3*m**2 + (0 + 0 - 2*m)*(2 - 2 + 2*m)).\nAnswer: 192*m**3 - 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 154*k - 313. What is g(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 582070329?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12198 and 4258172.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25551 is divided by 5022?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2958 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 3052, 3270, 3630, 4132, 4776, 5562, 6490?\n\"Answer: 71*q**2 + 5*q + 2976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 528 (base 10) to base 5\nAnswer: 4103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 2*r = 2*z + 9, 4*z + 1546*r - 1553*r - 81 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.4681 + -0.5319. Which is the nearest to -0.432?  (a) -2\/3  (b) l  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 2*a**2 + 27*a - 44. Calculate q(-13).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u + 46. Let z be i(-14). Suppose z = 7*o - 10*o. Let b = 42 + o. Calculate the highest common divisor of 176 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 397, 861, 1633, 2713, 4101, 5797, 7801?\nAnswer: 10113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 92434*d + 553820. Give q(-6).\nAnswer: -784","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 24 = 3*j - 5*w, 2 = 2*j + 2*w. Let b be (-19)\/j*((1 - 5) + -4). What is the highest common factor of 114 and b?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + (-2)\/(10\/(-11)). Let x(g) = 221*g + 5304. Let l be x(-24). Let q = -0.3 + 0.2. Which is the nearest to q?  (a) j  (b) -2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + 71. Let c = 35 - 25. Suppose 0 = v - c. Calculate the remainder when q is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of 239*f**3 - 11127. Let b(z) = -4*z. Calculate t(b(p)).\nAnswer: 11472*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 plus -0.0118335662?\nAnswer: 2.9881664338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 4. Let y(d) be the first derivative of -2\/3*d**3 + 4\/3*d**6 + d**4 + 14\/5*d**5 + p*d + 0*d**2 - 1. Let y(l) = 0. Calculate l.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a factor of 14646254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 69 = 21. Suppose -4*a = -3*w - 6*a + 13, -2*a + 7 = -3*w. What is the smallest common multiple of s and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + -4. Suppose -8*a = -3*a - 25. Suppose -4*k = a*i - 505008, 0*i = i - z*k - 100992. What is i rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6*w**4 - 2*w - 3200?\nAnswer: -24*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/4  (b) 0  (c) 0.042  (d) -3  (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 66\/(-14) + 10\/(-35). Let c = 3 - w. Suppose 5*f - 12 = c*f. Sort f, -1, 4 in ascending order.\nAnswer: f, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 96 + 10*h**2 - 117 + 67 + 13*h**2 to x*h**2 + r*h + i and give i.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**2\/r)**15\/((r\/((r**(-2)\/r)\/r)*r)\/r)**(-13)*r**5\/(r\/r**(-3\/2))*(r\/r**(-4))\/r*r*r**(1\/3)*r assuming r is positive.\nAnswer: r**(533\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -3*d. Suppose 5*k + 22 = -p - 0*p, 5*k - 2*p + 16 = 0. Let w(l) = 2*l. Let v(x) = -2*x. Let r(c) = k*v(c) - 6*w(c). Calculate r(u(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-6)*y*y**(-4\/3)\/y*y)\/(y\/(y*y\/y**(-2\/5)))**(-44) assuming y is positive.\nAnswer: y**(-1019\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*s - 51*s - 24*s + 61*s - 47*s - 2 + 3.\nAnswer: -95*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -325*j**3 - 4*j**2 + 2*j. Is n(-2) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -50.78 + 50. Let k = 0.151 - 1. Let h = f - k. Round h to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 703803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3398477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 88840582 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (3 + 0) - (50 - 51)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-96)\/5)\/(27\/(-405))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/(-14) + (-8059)\/(-21). Let q be (-8173)\/4*4\/21 + 0. Let m = w + q. Find the common denominator of -61\/6 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2\/3 - 19758*t + 118544\/3.\nAnswer: (t - 59272)*(t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 52800\/(-22880)*(-52)\/25. Factor 4\/5*f**3 - 2\/5*f**4 + 0 - m*f + 22\/5*f**2.\nAnswer: -2*f*(f - 4)*(f - 1)*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2421531 times 45?\nAnswer: -108968895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 57903\/490 + -591\/5. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 + 3)*(-2 - 8 + 2 + o) to the form b*o + x and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 262, 1140, 2604, 4654, 7290, 10512?\nAnswer: 14320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 + 78*l**2 - 125*l + 267. Does 83 divide b(-79)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -411 - -413. Solve 0 = -2*v - q - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 - (-2)\/(-8)*1. Let z = -1879.4 - -1879.38. Which is the biggest value?  (a) i  (b) 1  (c) z  (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/24*46920\/2070.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**28\/((n\/(n*n\/(n*n*n**(-25)*n)))\/n*n*n) assuming n is positive.\nAnswer: n**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k. Let z(d) = -4120*d - 2. Determine x(z(y)).\nAnswer: -8240*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the third derivative of -133*m**4\/24 - 37*m**3\/3 + m**2 + 66. What is the first derivative of w(n) wrt n?\nAnswer: -133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -152 (base 8) to base 2.\nAnswer: -1101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 8700 divided by 12\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in -20, 3, -0.22, 2?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 424443052633*k - 3*k**3 - 424443052633*k.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes before 10:12 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -3*u + 2. Give i(14).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9)\/(-6)*(-64)\/(-12). Suppose 7*g + 67 = d*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -263008 - -263010. Suppose 28\/9*z**3 + 2\/3*z**5 + 0 + 26\/9*z**4 - 8\/9*z**v - 16\/9*z = 0. What is z?\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.0832 in 4, 0, -3, 0.54, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u - 3*u + 0*u)*(-2*u**4 + 15*u - 21*u + 10*u).\nAnswer: -2*u**5 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 - 7*t + (-2 + 3 + 1)*(4*t - 4*t + 2*t) + 2*t - 5*t + 2*t - 3*t + 3*t + t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of -4*c**2 - 6*c + 58 - 1\/3*c**3. What is m(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2\/15, -3\/8, 0.03, 0?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8126 = -19*w + 2*w. What is the smallest common multiple of 20 and w?\nAnswer: 4780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-three thirds of a day?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 88*g - 2020. Let r be m(23). Let x(o) = -19*o**3 - 4*o + 5. Let w(c) = c**3 + c - 1. Determine r*w(s) + x(s).\nAnswer: -15*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.6 times -0.076158?\nAnswer: 0.1980108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 + 4*s**2 - 3*s - 5. Calculate the remainder when 26 is divided by n(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -52, -110, -176, -250?\n\"Answer: -4*j**2 - 46*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 54580, 54534, 54406, 54154, 53736, 53110?\nAnswer: 52234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 123894.\nAnswer: 2, 3, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the first derivative of f**8\/840 + f**6\/360 + 5*f**3\/3 + 2. Let y(g) be the third derivative of h(g). Find the third derivative of y(q) wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 52236680 by 567790.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*k + k + 3*k)*(1 - 1 - 2*k) + 119*k - 30*k**2 - 119*k to the form d + h*k**2 + t*k and give h.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -0.3, -0.5, 203, 1\/4, -2057?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*y + 0 - 8*y + 0 to j*y + h and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) 5  (c) 0.06  (d) 2\/3  (e) -7328  (f) -15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 - 331080?\nAnswer: -331085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u**2\/5 + 117859266*u\/5 + 117859263\/5 = 0. What is u?\nAnswer: -39286421, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -2\/7, 13.7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together -201959.436 and 0.245.\nAnswer: -201959.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -30 + 35. Suppose 43 = 2*m - 5*f - 78, 3*m - 174 = t*f. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 18 = -2*i + 26, -2*s + 27 = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*x**2 - 2*x**2 - x**2 + 13*x - x**2 to the form j*x + t*x**2 + y and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvvzvvvvvvvvvvvvvvv?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (9 - 57\/18)*88 + (-7)\/21 is divided by 45.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 3*c - 3. Let a be u(4). Let o be (-76)\/(-18) - 2\/a. Suppose -3*p = -f + 11, -o*f + 3 + 1 = -2*p. Let g(r) = -r**3 - 4*r**2 + 3*r + 2. What is g(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 260?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**2 - 5*y + 4. Let b be v(5). Suppose -b*m = -3*u - 18, 6 = 3*u - 0. Let g(a) = -a**3 + 7*a**2 - 7*a - 6. Determine g(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 115\/342 and 29\/81864?\nAnswer: 1555416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9008*b - 17996*b + 5493*b to the form a + w*b and give w.\nAnswer: -3495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 8*b**2 + 2*b + 1. Let l(r) = -15*r**2 - 4*r - 2. Let w(v) = 7*d(v) + 4*l(v). Determine w(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -28*h - 5. List the prime factors of s(-9).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 2*t - 1. Let i(j) = -35 + 74 - 3*j - 37 + 0*j - 3*j. Calculate 2*i(u) + 7*z(u).\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -2*j**3 - 2*j - 1. Let m(h) = -11*h**3 - 547*h**2 - 10*h - 5. Give m(w) - 5*t(w).\nAnswer: -w**3 - 547*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b = 32 + 28. Let o(n) = 4*n**3 - 11*n**2 - 4*n**2 + 20*n**2 - 3*n**3 - b*n + 6. Give o(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*n - 4 + 31 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**1*u*u**(4\/3))\/(u\/((u\/u**4)\/u)*u**(-6\/5)) assuming u is positive.\nAnswer: u**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 1 + 2 + 1 + d - 13*d**2 + 2*d**2. Let q(b) = -5*b**2 + 2. Let s(a) = 6*j(a) - 13*q(a). Calculate s(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*q - 5*b = -33*q + 80, 5*q = 4*b + 49 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24 - -46. Suppose 3*f = -5*k + 137, -f = 3*k - o - 57. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnnu when four letters picked without replacement from {u: 3, z: 3, n: 5}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 26 + -28. Which is bigger: k or -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8134854 and 90839203.\nAnswer: 545035218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 3*b**2 - 6*b + 7. Let w be y(1). Suppose -14 = -2*t - 8. Suppose z = -t*z + 20. Solve -z*c = -1 - w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 0*c + 0*c - c. Let n be t(4). Let x be n\/4*-1*3. Solve 0 = -x*z + z - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(1\/(-109)) - -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-6*6*(sqrt(1900)*1 + sqrt(1900))*-4 + 2)**2 + -4.\nAnswer: -23040*sqrt(19) + 630374400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -3*x + 12, 0 = -c - c + x + 2. Let p(t) be the first derivative of 3 - 1\/2*t**c + 1\/2*t**3 + 0*t. Solve p(v) = 0 for v.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2 + 3)*(4*d + 4 - 4) + 1 + 0 - 5 + 2*d.\nAnswer: -10*d - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.9 + -0.1. Let u = -0.22 + 0.2629. Let n = 3.0429 - u. Which is the second smallest value?  (a) m  (b) n  (c) -1\/2  (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from npkkkbnkbpnzkppbkk?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1519 and 3751.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1882682 is divided by 188268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/4 and -55\/1315171882.\nAnswer: 2630343764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -2*z**3 - 21*z**2 - 2*z - 11. Let g be w(-17). What is g rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (b - b - 2*b)*(1 - 2*b - 1) + 0 - 2*b**2 + 0 + 43*b - 41*b + 5*b**2 - 42*b**2 in the form y*b + o + i*b**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 410 and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iigisiisiiiggiiiii. Give prob of picking 1 s and 2 i.\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 409 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (-3 - 2)) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-3 + sqrt(1539) + -4 - (sqrt(1539) - (sqrt(1539) - (sqrt(1539) - (3*sqrt(1539) - sqrt(1539)) - sqrt(1539))))*3)*1*-1)**2.\nAnswer: -3528*sqrt(19) + 301840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1232, 2538, 3890, 5288, 6732?\n\"Answer: 23*p**2 + 1237*p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 113 + 512?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*u**2 - 4154 + 4154.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -125716, -125721, -125728, -125737, -125748, -125761, -125776?\nAnswer: -125793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2273, -4433, -6579, -8705, -10805, -12873?\nAnswer: -14903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 8*b + 2. Let d(l) = -9*l - 34. Let a(x) = d(x) + w(x). Let n(i) = -7*i**2. Give a(n(k)).\nAnswer: 7*k**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 924 and 5412.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.984 + -0.016. What is the nearest to 0.1 in l, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -140*j + 475*j + 292*j.\nAnswer: 627*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109*m = 112*m - 228. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes after 11:35 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4297*w - 2652*w - 9831*w.\nAnswer: -16780*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 11603306 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from xxxyxyyxxyxxxxxyxyx.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3720 at least as big as 14883\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -30 + 43. Suppose -11*j = -b*j + 8. Suppose 4*s = -j*a + 2016, 5*a - 2517 = -s - s. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2*q**3 - q**2 + 2*q - 63. Let m(o) = -7*o**3 - 4*o**2 + 8*o - 247. What is 9*a(h) - 2*m(h)?\nAnswer: -4*h**3 - h**2 + 2*h - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -2*x**3\/19 + 4*x**2 - 10*x - 700\/19 = 0?\nAnswer: -2, 5, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -600*x - 5*x**2 + 600*x.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s = -4*s + 20. Let d(x) = -2*x - 12. Suppose 4*r + r = 15. Calculate the remainder when d(s) is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m = 2*m + 55. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes after 6:56 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1, -39, -7, -341, 8 in decreasing order.\nAnswer: 8, -1, -3, -7, -39, -341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30826, 30828, 30830, 30832, 30834?\nAnswer: 30836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -129 + 360. Calculate the highest common factor of 21 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -28*r**2 + r**3 + r**3 + 2 + 380*r**4 - 382*r**4 + 5*r - 6*r**2 + 0 to v*r**3 + h + g*r**4 + n*r + k*r**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.2576 from -0.1.\nAnswer: -0.3576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 14 = y, 2*y + 2*y - 20 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 66*k + 30. Is 45 a factor of s(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 5:11 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 9 - 4*u - u + 6*u. Let g be t(-8). Let i = g + 4. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((-1*sqrt(288)*6 - sqrt(288)) + 4 + 2*sqrt(288) + sqrt(288) + 2 + -5*-3*sqrt(288))*-4)**2.\nAnswer: 25344*sqrt(2) + 558144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - -6. Suppose 0*s + 5*s - n = 9, 0 = -n + 1. Suppose -8 = s*m, -2*m - 6 = -3*q + 4*q. Solve -2 = 2*p + 5*y - b, q = -p + y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*u**2 + 0*u**2 + 0*u**2)*(-3 - 2 + 2)*(2 - 2 - 2) + (4*u - 5*u - 2*u)*(5*u - 3 + 3) to the form r*u**2 + m + z*u and give r.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 116799611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/((-2*(-12)\/80)\/(-3)). What are the prime factors of (-1340)\/(-64)*m - (-21)\/(-56)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1b0411 + -a73?\nAnswer: -1b1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 105*a**2 - 20*a + 2. Let v(d) = 422*d**2 - 84*d + 9. Give -9*n(f) + 2*v(f).\nAnswer: -101*f**2 + 12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-522099.\nAnswer: -52209.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 66 + 57)*(2*y + 1 + 1 + y**2 + 0*y**2).\nAnswer: 110*y**2 + 220*y + 220","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 2469389.\nAnswer: -1\/2469389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/2 - (-117 - 2). Let r = o - 59. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, 0, 4\/15, 7\/3, -0.5?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of -2*z**5\/25 - 9*z**4\/5 - 146*z**3\/15 - 108*z**2\/5 - 104*z\/5 + 472. Find c such that r(c) = 0.\nAnswer: -13, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 + 6*k**2 + 4*k - 2. Suppose -2*z + 20 = -6*z. Let u be i(z). Let l = 0.2 - -0.3. Which is the second biggest value?  (a) l  (b) u  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(102) + -4*(sqrt(102)*-1 - sqrt(102)) - (sqrt(102) + 2*sqrt(102) + sqrt(102))*-4)\/((sqrt(96)*-2 + sqrt(96))*-3).\nAnswer: 25*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -k + 3*k + 4*c, 5 = c. Suppose -2*s - 3*f = 5, -5*s + 2 = -4*s - k*f. Let j(x) = -13*x**3 - x**2 + x + 1. What is the tens digit of j(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -345 - -367. Calculate the remainder when 84 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 79190.55 minutes in milliseconds?\nAnswer: 4751433000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 6) + (-43 - -50)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -12 + (2 - (-2)\/(-1)). List the prime factors of ((-28)\/y)\/(2\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * -5912.\nAnswer: -5912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (9 - (-2624)\/(-40)) + 6\/10. What is the units digit of p\/98 + 1604\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*f = -3*f + 49540. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(152)\/(sqrt(32)\/(-2*sqrt(4))) - ((sqrt(19) + sqrt(304))*-2 - 6*(sqrt(76)\/sqrt(4) - sqrt(19))**2).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 67*s**2 - 154*s + 88. What is the units digit of j(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.024 + -0.098. Let s = j + 0.042. What is s rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Suppose k - 986 = 5*a - 0*k, -a - 202 = -5*k. Let t = 276 + a. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 28*c**2 - 22*c - 33. What is h(4)?\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2661, -4852, -7041, -9228, -11413, -13596?\nAnswer: -15777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 - 2. Let w be (-168)\/(-308) - 127\/11. Is w < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4468 or 4458?\nAnswer: 4458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/(l*l\/(l*l*l\/((l*l\/(((l**(-12)*l*l)\/l)\/l))\/l)))*l\/(l*(l\/((l\/(l*l*l**(-2))*l)\/l)*l)\/l*l))**10 assuming l is positive.\nAnswer: l**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1060 + -2913. Let h = a - -1852.998101. What is h rounded to four dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 5 = y - 7, -p + 15 = 2*y. What is the tens digit of ((-50)\/3)\/((-3)\/y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 30 = n - 2*c, n = 5*c - 10. What is the units digit of n\/(-14) + 26\/91?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + 3222?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 142.718 - 142. Let p = 0.016 - 0.836. Let h = p + y. What is h rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 450 and 3770136?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (30\/2)\/(3\/10) - 872\/(-218). Solve -2*a - 3*o - 12 = 0, w*a - 49*a - 4*o = 39 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-149)\/(43806\/84) + -6*(-212)\/42.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22762, 22762, 22760, 22756, 22750, 22742, 22732?\nAnswer: 22720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 47*k**2 + 2*k - 7. Let d(w) = 23*w**2 + w - 4. Let z(p) = -5*d(p) + 3*f(p). Let n be z(-2). Let u = n + -66. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -169382928, -169382930, -169382932, -169382934, -169382936, -169382938?\nAnswer: -169382940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 191, 6, -3, 2, 7 in decreasing order.\nAnswer: 191, 7, 6, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -771*d - 2312. Let t be c(-3). Let x be (5 + -3)*2*2. Sort x, t, -2.\nAnswer: -2, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 - 4*b**2 - 2*b - 1. Let c be h(-4). Suppose 3*g = c*g - 32. Let a(q) = -q**2 + 10*q - 12. What are the prime factors of a(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 213532694?\nAnswer: 2, 106766347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 114*z - 114*z + 1 - 19*z**2. Give y(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4786 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 r(d) = 2*d**5 - 5*d**3 + 21*d. Let z(f) = -2*f**5 + 6*f**3 - 21*f. Let j(x) = 6*r(x) + 5*z(x). What is the second derivative of j(w) wrt w?\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -100714535 and 0.2.\nAnswer: -20142907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ajjnunanaannnjanuam. What is prob of sequence jjum?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1398 in 0.1, 0, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -13*b. Let f(a) = -a - 1. Let d be f(-3). Let h(s) = s + 1. Let i(g) = 104 + 100 - 205. Let r(t) = d*h(t) + 2*i(t). Determine v(r(k)).\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 301, 600, 897, 1192, 1485, 1776, 2065?\n\"Answer: -h**2 + 302*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(66) + sqrt(66)*-1 - sqrt(66))*3)\/(sqrt(72)\/(2*sqrt(12))))**2 - ((sqrt(132) - (sqrt(132)*-1 + sqrt(132)))*-1)\/(sqrt(900)\/sqrt(3) - sqrt(12)).\nAnswer: sqrt(11)\/4 + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 735089130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 38869190 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - ((-4 - -7) + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 16844, 33695, 50546?\n\"Answer: 16851*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -8*b**3 + 40*b**2 + 70*b - 350. Let p be l(5). Suppose -1\/2*c**3 + 8*c**2 - 32*c + p = 0. Calculate c.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12.5 times -42\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -458\/31 or -15?\nAnswer: -458\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -1*sqrt(28)*6.\nAnswer: -12*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -66 - -22. Let z = 41 + r. Let y = -79\/4 + 20. Is z < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 11796850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28, -21, -2, 35, 96, 187, 314?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1, -2.3, 4, 100, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 79164785 to the power of 1\/3, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 + -9. Let q(n) = 2 + w - 2*n**2 - 28*n + 32*n. Determine q(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 264  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 70731551*c*x**3 - 3332*x**3 + x**2 - 790 with respect to c.\nAnswer: 70731551*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -36\/59 or -7825?\nAnswer: -36\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -32, -59, -88, -119, -152, -187?\n\"Answer: -t**2 - 24*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dcd when three letters picked without replacement from dcdddddd?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1040 divided by -80.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 2 = 2*c, 5*d - c - 10 = -5*c. Let b(z) = 2*z**2 + 9*z**d + 7*z**2. Let o(a) = 7106*a - 20 + 20 - 7107*a. What is o(b(u))?\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*a = 26*a. Suppose a = -5*j + 138 + 7. What is the greatest common factor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.3 - -1.3. Let s = 3.4 + -3. Which is the second smallest value?  (a) -0.4  (b) s  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*-2*(-10)\/12*-49*(-984)\/(-56252)\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 23348116019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (-1 - 3) + (23 - 19).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5\/(-8)*6\/10. Let x be 3*(-4)\/12*-102. Let k = x + -712\/7. Which is the nearest to k?  (a) -1\/12  (b) w  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 167294*j**5 + 11*j**4 - 6642194*j**2.\nAnswer: 10037640*j**2 + 264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -28 + (0\/2)\/1. Let x be -8*(19 + -18)*(-1)\/2. Sort -5, w, -2, x in decreasing order.\nAnswer: x, -2, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 4*a - 4*a + 5*a + 24. Let v(i) = 3*i + 16. Let g(m) = -5*c(m) + 8*v(m). Let n(y) = -3*y. Give g(n(q)).\nAnswer: 3*q + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4127 + 4131. Let g be 2\/(-18) + 48\/(-54). Put t, 52, g in decreasing order.\nAnswer: 52, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 6202 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 79, 92, 113, 142, 179, 224?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1*(-32)\/(-24)*(-2 + 17). Which is smaller: i or -8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-27)\/(-222)*(-190)\/105. Let d = -320\/37 - c. Find the common denominator of d and 52\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*c + 13344 = -5*n + 13390, 0 = -c + n - 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -210*d**2 - 2421*d + 1198. What is p(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 4, 16562 in descending order.\nAnswer: 16562, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + k = 17703. Suppose 5*o = -183657 - 100848. Let b = k - o. Round b to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 891 + -531. Let w = 4 + i. Suppose -4*o - 36 + w = 0. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/10*194215\/5012?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3653243 + -62?\nAnswer: 3653161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 49, 0, 5 in increasing order.\nAnswer: 0, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2 - o - 34. Let c be m(0). Let y = -20 - c. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the second derivative of 1\/12*b**4 + 0*b**3 + 3\/2*b**2 - 53\/20*b**5 - 60*b + 0. Find the third derivative of t(s) wrt s.\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-37)\/(6068\/(-1845))*11\/((-396)\/48)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wr when two letters picked without replacement from trw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 23*a - 1796 - 1631. Calculate the remainder when a is divided by 65.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 63688728.6ms to weeks.\nAnswer: 0.1053054375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2733 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 47\/3 in -8486, -1\/189, -2\/9?\nAnswer: -1\/189","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 - 8*r**2 + 18*r + 19. Determine d(-11).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 1 + 0)*(0 + 1 - 4)*(-392*b**2 + 392*b**2 - 11*b**4) as h*b**4 + z*b**2 + x*b**3 + t*b + u and give h.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*h - 2*h + h + 15*h**2 - 3*h.\nAnswer: 15*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*z + 3*z - z + 1 - 1 - z - z - 2*z + 4*z + (2*z - 2*z - 2*z)*(-5 + 5 + 2) - 2*z - 3*z + 2*z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 20360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 64, 1.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 AM and 7:47 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (-4 + (18 - 16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**5 + 72*d**4 + 1293*d**3 - 214*d**2 - 3744*d + 2592.\nAnswer: (d - 1)**2*(d + 2)*(d + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aakkagkaaagakaakkk. What is prob of sequence akag?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*r**2 + 7*r**2 + r**2)*(-1 + 3 + 0)*(3 + 3 - 2) in the form c*r + d*r**2 + w and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**2 + 2 - 2)*(14*j**3 - 12*j**3 + 17*j**3).\nAnswer: -19*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/v**(-1\/5)*v*v**13)\/(v*v**(-11)*v*v**(-2\/5)) assuming v is positive.\nAnswer: v**(128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 1 + sqrt(1216) + -1 + -4 - ((sqrt(114) - sqrt(114)*-1)\/sqrt(3))\/(sqrt(36)\/sqrt(2) + sqrt(2)).\nAnswer: -9 + 15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2c - -2?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 8\/7, -2\/13, 55\/6, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -4*a + 4*c, -2*a - 4*c - 2722268 = -2722272 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**3 - 2*u**2 - 3. Let g be w(-3). Suppose 4*t - v + 3*v + 6 = 0, -v + g = -t. Let j be -2 + 3*(-4)\/t. Solve -j*l = -0 + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -188*0.2.\nAnswer: -37.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 6:55 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -112759063.5 rounded to the nearest ten thousand?\nAnswer: -112760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 52*s + 70*s - 146*s + (-5*s + s + 3*s)*(-4 + 4 + 4) - s - 7 + 7.\nAnswer: -29*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 14) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100010011 (base 2) to base 8.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 13900, 13906, 13910, 13912, 13912?\n\"Answer: -l**2 + 9*l + 13892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 5622  (b) 2\/3  (c) -0.114  (d) -0.5  (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of 27*i**5\/20 + i**4\/6 + 6*i**3 - 2*i + 8. Find the third derivative of g(b) wrt b.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes after 12:59 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -721 + 727. Suppose -2*n = -0*n - 58. Calculate the remainder when n is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*k**2 - 134*k - 6 - 29*k**2 + 3 + 29*k**2 in the form a*k + m + n*k**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 5*z + 2 = 0, 5*z = 3*m + z - 1. Let o(l) = -l**2 - 2*l + 5. Let q(v) = v**2 - v - 1. Let t(i) = o(i) + 3*q(i). Determine t(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1037124 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: Solve 0 = 3*v - 4*x + 522 - 416, 3*x = -6 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (33\/22)\/((-21)\/(-17402))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 14*h. Let f(s) = -2*s. Let i = 46 - 47. Let z(t) = i*x(t) - 6*f(t). Let g(v) = -2*v. Determine z(g(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 + 4*i - 16. Let b be k(-7). Let f = 11 + 9. Calculate the highest common factor of f and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8944747 is divided by 307.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13667568, -13667563, -13667558, -13667553, -13667548?\nAnswer: -13667543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 465 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -26673 + 4?\nAnswer: -26669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 + 2*r**2 + 3*r + 269. Calculate i(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3 + 15\/(-35) + (-206)\/(-56). Which is bigger: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*n + 29*n**3 - 32*n**3 + 2*n as i*n**3 + d + l*n + s*n**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2539 + -1660. Let y = -451 + o. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*v - 7*v - 110 = -40*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 7*z**2 - 6*z + 4. Calculate r(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1094082 to the nearest ten thousand.\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 14679243 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:33 AM and 6:36 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -128, -213, -298, -383, -468?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - n = 7, -3*i + 3*n + 35 = 2*i. Let a = 2884 - -1878. Suppose 5*y = -15, i*k - 2*k - a = -y. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2\/11 - 8768392*m\/11 - 9610587283208\/11.\nAnswer: -2*(m + 2192098)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is a89 (base 12) in base 16?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, 37, 97, 193, 331, 517, 757?\nAnswer: 1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 305*k + 2579 = 1969 - 5795 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1291*f**3 - 3*f**2 - 90*f wrt f?\nAnswer: 7746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 204501, 818055, 1840673, 3272355, 5113101, 7362911, 10021785?\nAnswer: 13089723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-3\/5)\/(j*j*j\/j**(-2)))**(-2)\/((j**(1\/4)*j*j**(2\/3)*j*j)\/((j\/j**(-3\/5)*j)\/(((j**(-1\/3)\/j)\/j)\/j))) assuming j is positive.\nAnswer: j**(793\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 24071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -196*1546\nAnswer: -303016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + 0 + -54 + 37 + -5 + 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1759 - 1750. Solve -4*d - 17 = -3*q, -3*d - 2*q = z + 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 2*i + 232 = 0. Suppose -120 = -2*y - 62. What is the highest common divisor of i and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -14  (b) 2\/33  (c) -12\/19  (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the third derivative of -9*a**6\/8 - a**4\/8 - 4*a**3\/3 - 45*a**2 + 2. Find the second derivative of q(w) wrt w.\nAnswer: -810*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -17517.54 - -17730. Let j = 210 - k. Let y = j + 2.3. Which is the second smallest value?  (a) y  (b) 0.3  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -93 (base 14) to base 13.\nAnswer: -9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2318368158406 and -30.7.\nAnswer: -2318368158436.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*a**3 + 2 + 9*a**3 + 3*a**3 - 6*a**3 + a**3 + 2*a**3 + (2 - 2 - a**2)*(-a - 3*a + 2*a) + 6*a**2 + 14*a**3 - 6*a**2.\nAnswer: 16*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*l**3 - 278*l - 2*l**3 - 2 + 2*l**3 - 17*l - l as z + i*l**3 + v*l**2 + s*l and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 14*i = 15*i + 1187, -247 = -a - 3*i. Calculate the remainder when a is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 839189, -6 in ascending order.\nAnswer: -6, -1, 839189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**2 - 444*f - 1782. Suppose -2*u = -3*k - 0 + 12, u + 2*k - 8 = 0. What is the remainder when 15 - (-1 - u - 0) is divided by p(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*c**2 + 0*c**2 + 6*c**2)*(-c - c + c) - 51*c**3 - 21*c**3 + 19*c**3 to o*c + z*c**3 + v*c**2 + r and give z.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (-5 + 3) - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-4*sqrt(272))**2 + -2.\nAnswer: -26114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 788620199?\nAnswer: 41, 2113, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1647037.81 rounded to the nearest 10000?\nAnswer: -1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*o**3 + 6*o - 3 + 4*o**4 - o**2 - 6*o - 5*o - 20*o**3 to g*o + p + s*o**2 + a*o**4 + v*o**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -276.2 or -610.82?\nAnswer: -610.82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -3746086.\nAnswer: -3\/3746086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -92, -94, -96, -98, -100, -102?\n\"Answer: -2*l - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5\/3, -0.5, -1, -10.1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-280)\/(-175))\/(2 + -4)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) 1\/2  (c) -341\/5  (d) -0.1  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:10 AM and 1:34 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -5*g - 8 - 333, 0 = v + 4*g + 338. Let p = 162 - v. 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 (-906)\/(-1510)*15\/(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = a + 3*p + 12, -313*a = -315*a - p - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-63)\/(-3) - (-2)\/2. Let b be (1 + -2)\/((-2)\/m). What is the second derivative of 7*f**2 - b*f**3 - 9*f + 2*f**2 - 9*f**2 wrt f?\nAnswer: -66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 38*q**3 - 17*q**3 - 7*q**3 + 2*q + q**2 as v*q**3 + g*q**2 + a + f*q and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6896 - -6903. Let u(s) = 7*s + 0*s**2 - 2 - s**2 + 4. Determine u(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 45\/(-6)*(-4)\/(-30)*6\/17.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.5 + 2. Suppose -5*o - 10 = 2*u, -4*o - 3 = 4*u + 17. Which is the biggest value?  (a) l  (b) -3\/5  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 577 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -3*p + 2*p - 5*v, 0 = 2*v + 8. Suppose -3*n + 5*x + p = -1, 2*n - 28 = 4*x. Let g = 8 - n. Solve 4*l = 3*t + 5, -8*l + g*t = -3*l - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.388 * 0.18873\nAnswer: -0.45068724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -32\/11, -0.175, 0.4, 0.38?\nAnswer: -0.175","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/3*1 + (-66)\/18. Let v = -1 + 6. Let q = v + -3. Which is the closest to 0.1?  (a) h  (b) 3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 109 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1\/2*6*(-1)\/9\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-18)*t*t\/(t\/t**6))\/(t*t\/t**(2\/5))**(-2\/9) assuming t is positive.\nAnswer: t**(-479\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 o when three letters picked without replacement from {o: 6, a: 1, d: 4, p: 2, j: 3}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 40720727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from {g: 3, p: 12, y: 1, v: 2, c: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -9. Let x(w) = -2*w + 0*w + 6*w**2 + c - 5*w**2. Let a(z) = 2*z**2 - 5*z + 9. Suppose 5*i - 62 = -17. What is i*x(g) - 4*a(g)?\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -110, -2\/5, -44, -5, 2, 7, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the second derivative of 4*o**6\/15 + 3*o**5\/10 - 3*o**4\/2 + 2*o**3\/3 - 17*o. Factor c(q).\nAnswer: 2*q*(q - 1)*(q + 2)*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 863576 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 5, h: 8}. Give prob of picking 1 h and 2 w.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 4, 8, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2201010 + 22?\nAnswer: 2201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 571 is divided by 537.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7738205, 7738197, 7738189, 7738181, 7738173, 7738165?\nAnswer: 7738157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express d**3 + d**2 + d**3 - 4*d**3 in the form o*d + r*d**3 + h + s*d**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -28 - -24. Let c = 2 + w. Sort c, 0.3, -1 in increasing order.\nAnswer: c, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 321000 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: Simplify ((sqrt(405)*-2 - sqrt(405)) + -5 + 2*(sqrt(45) + 0))**2.\nAnswer: 210*sqrt(5) + 2230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*y + 179 + 10 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 220712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 238, 476, 714, 952, 1190?\nAnswer: 1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3181 + -753896\/237. Let b(u) = -3*u - 21. Let o be b(-7). Does o = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-7 + 7 - 5*x)*(-3*x**2 - x**2 + 3*x**2) + 1 - 1 + 3*x**3)*(-2 + 2*x + 2) to v*x + q*x**4 + f*x**2 + u*x**3 + h and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/6 and 143\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 497.1932872 to zero dps.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, 1\/5, -1, -5.4, -2\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -11659083 divided by 17\nAnswer: -11659083\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4629475 is divided by 217?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 + 25*x + 106. Let r be d(-20). Solve 0 = 4*h + 2*j - 14 + r, 3*h + 5*j + 8 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.9, 4, -6\/25, -5\/8, -9?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**8*s*s**(-2)*(s\/s**(-7))\/s**(-3\/10))**(3\/2) assuming s is positive.\nAnswer: s**(459\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -420127 divided by 153.\nAnswer: -420127\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = -5*f, 0*n + 3*n - 43 = -5*f for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add -37.507 and 0.02.\nAnswer: -37.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*o - 11 = -83. Differentiate -v - 5*v**2 + 2 + 5*v**2 + 56 + o*v**2 wrt v.\nAnswer: 12*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-38)\/(-95) + (-1387)\/(-95).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 2*t - 3. Let i(j) = -48 - 3*j + 2*j + 25 + 25. Let l(x) = 7*i(x) + 5*w(x). Let b be (0 + -2)\/(3 + -2). Determine l(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 - t**4 - 10*t**2 + 24*t**2 - 11*t**2 - t**3 - t**3 + 8*t = 0 for t.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -2*h + 12. Let x be r(4). Suppose 4*c + x*p = -c + 111, 3*c + p - 68 = 0. Calculate the remainder when c is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the third derivative of -d**5\/20 - 5*d**2. Let h(f) be the second derivative of f**4\/4 - 18*f + 32. Give a(h(v)).\nAnswer: -27*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2250\/(-24000)*(24\/(-87) - 0)*(-8)\/(-3).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10746443 at least 10746443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of 32*v**6\/15 + v**3\/6 - 21*v**2\/2 + 179*v. What is the first derivative of d(x) wrt x?\nAnswer: 256*x**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -31  (b) -2  (c) -4  (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(-1900)\/(-304)*(-4)\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -3*k - 2. Is 2 a factor of z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (60\/(-4))\/3*-1. Suppose 2*g = 3*g. Solve g - 25 = t*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 112 and 80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -48*w**2 + 22*w. Let y(g) = -49*g**2 + 19*g. Determine -2*d(o) + 3*y(o).\nAnswer: -51*o**2 + 13*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.39 + -2.07. Let u = -2.06 - k. Sort -1.3, -0.5, u in descending order.\nAnswer: u, -0.5, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + 0 + -1 + (-2*sqrt(11)*-2)**2)*-3 + 3.\nAnswer: -522 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38101 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -2\/11, -0.5, -0.3, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 9 - 9. Sort -5\/4, k, -4 in decreasing order.\nAnswer: k, -5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1 and -345.220506105755.\nAnswer: -345.320506105755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**10\/p*p**(2\/33))\/(p*p**1*p)**11 assuming p is positive.\nAnswer: p**(-790\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*c**3*r**2 - 2*c**3*r + 34*c**2*r + c*r**3 + c - 9*r**3 wrt r.\nAnswer: 4*c**3 + 6*c*r - 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 336 = -4*m, 0 = 3*m - 2*m + 5*x + 104. Let t = 130 - m. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence le when two letters picked without replacement from etltteltetettlttetl?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**3 - 28150130*w**2 + 99053769602294*w - 297161055455766.\nAnswer: 2*(w - 7037531)**2*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 202783?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 218, 227, 240, 257, 278, 303?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -6. Let u(i) = v - 4 - 2 - 6*i + 6*i**2 + 6*i**3 + 0. Let r(a) = 13*a**3 + 11*a**2 - 12*a - 5. Let g(t) = 3*r(t) - 5*u(t). Factor g(n).\nAnswer: 3*n*(n + 1)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 - 13b068f?\nAnswer: -13b0691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*c**4 + 3*c**4 - 10*c**4)*(-1 + 1 + 3*c) + 2*c**5 + 3*c**5 - 4*c**5.\nAnswer: -35*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -154663, -154596, -154411, -154048, -153447?\n\"Answer: 10*w**3 - w**2 - 154672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 189, 763, 1713, 3039, 4741?\n\"Answer: 188*l**2 + 10*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 53022, 53030, 53038, 53046, 53054?\nAnswer: 53062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-522)\/(-135) - 4\/(-30). Suppose 1 = 5*w - p, 5*w = -2*v + 115. List the prime factors of v.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*g**4 - 23*g**3 + 34*g**3 - 18*g**3 + (1 - 1 + g)*(2*g**3 + 15 - 15) to m*g**2 + t*g**4 + h*g**3 + b + i*g and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 49*g**3*k**3 + 22331*g**2*k - 258425*g*k**3 + g wrt g?\nAnswer: 294*g*k**3 + 44662*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1269562 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1722780001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.612 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 389127.\nAnswer: 3, 151, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 3*t. Suppose -3*n = -2*s - 116, -n = n - 4*s - 88. Let x(g) = -7 + 13 - n*g**2 - 6. Calculate p(x(i)).\nAnswer: -108*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 3*x - 94. Let v be p(33). Let q be 4\/v*(-35)\/154. What is the biggest value in q, -0.2, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.5029 + -1.0029. Sort 1, -7.4, c, -2, 4\/7 in descending order.\nAnswer: 1, 4\/7, c, -2, -7.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15.6 - 1.4. Let l = -34 - z. Let h = -239 - -239. What is the closest to h in 2, 1\/3, l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 26*o**3 + 162456*o**2 + 49984*o.\nAnswer: 2*o*(o + 6248)*(13*o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 2*d - 17. Suppose -937*t + 936*t + 5 = 0. Give j(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 862810 divided by -8.\nAnswer: -431405\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 - 10*x**2 + 300*x - 3901. Determine v(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -24335.04262 to the nearest one hundred.\nAnswer: -24300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -244, 13, 79 in increasing order.\nAnswer: -244, 13, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2569 and 2377123201.1.\nAnswer: 2377120632.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 135*f + 124 = 136*f. What is the remainder when f is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 11\/4 of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 38.22 plus -19145296?\nAnswer: -19145257.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3.3 in -4, 0, -1.599?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 61 - 56. What is the third smallest value in -3, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1203 is divided by (3350\/125)\/((-20)\/(-50))?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7200)\/(-56) - 9 - 8\/14. Let o = 78 + -153. Let g = o + k. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 40682462\nAnswer: -3\/40682462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.25*-0.090689.\nAnswer: -0.02267225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 79603285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 3*q = -b - 13, q = -5*b + 79. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 9 - -17?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*d - 9*d - 108. Suppose d + 1 = 4*n. Let p be (4 - 7)*10\/(-6). Solve -1 = l - 2*g, -n = 8*l - 4*l - p*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times 10655058?\nAnswer: -10655058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -7*y**3 - y**2. Let r be -3 - -3 - (-33 - 0). Let p be -2 - (-1)\/((-1)\/r). Let b be p\/(-30) + (-2)\/12. Give x(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in three fifths of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -3*o + 91, 0 = -0*q - 4*q + 4*o + 84. Let m be 4\/14 - 9200\/(-140). Let p be m\/7*(6 - -8). Calculate the highest common divisor of p and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 703*g + 12 = 345*g + 347*g - 4*b, 5*g = 4*b + 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4029254367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1003, -1018, -1049, -1102, -1183, -1298, -1453?\n\"Answer: -p**3 - 2*p**2 - 2*p - 998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 228\/21*(-8 - -85) and 220.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccvuccvvvvbvvb. Give prob of sequence cv.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*t**2 + 110*t - 53*t - 57*t - 5*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 10582218159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or -28339?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -3\/3197?\nAnswer: -3\/3197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 608967 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -160576, -642265, -1445070, -2568991?\n\"Answer: -160558*t**2 - 15*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -477, 14\/9, 2, 0.3, -5, -2\/3 in decreasing order.\nAnswer: 2, 14\/9, 0.3, -2\/3, -5, -477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 3*x + 12 = 48, -h = x - 8. Let j = h + 29. Let i = j + -23. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 36\/(-15) - (-848)\/1060?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -144331210 + 124?\nAnswer: -144331031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4180309 - 0.4.\nAnswer: -0.8180309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21064 (base 7) to base 16.\nAnswer: -1447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -290064, -285241, -277202, -265947, -251476, -233789?\n\"Answer: 1608*g**2 - g - 291671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of 27*s**2 + 0*s + s**3 + 1\/3*s**6 + 0*s**4 + 27 + 0*s**5. What is the second derivative of n(t) wrt t?\nAnswer: 40*t**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**2\/4 + 129*u\/4 - 33.\nAnswer: 3*(u - 1)*(u + 44)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-2) + 0 + 7. Suppose -425 = -s + n*s. What is s rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, w: 12, h: 4, b: 2}. Give prob of sequence hbc.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -493*h + 1585 - 14896 = 0 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(2)*-2*5*4 + sqrt(32)*-2*6*-5.\nAnswer: 440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/(-4) + (-38)\/(-24). Let j(l) be the second derivative of -b*l**3 + 0 - 1\/8*l**2 - 2*l - 1\/48*l**4. Determine d so that j(d) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*d - 22*d. Solve 4*f - 21 + 5 = d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1752)\/18980*(67\/60 + 70\/525)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 11*n + n**2 + 6*n + 20*n + n**2 + 20*n to the form m + z*n**2 + j*n and give j.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**2 + 19*l - 15. Let q(s) = 4*s**2 - 56*s + 44. Let p(w) = -8*h(w) - 3*q(w). Factor p(v).\nAnswer: -4*(v - 3)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -29 + -5 + (-22 - -19 - -9)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1021.4 + 1034.4. Which is the biggest value?  (a) 1\/4  (b) -2\/3  (c) x  (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 301 divided by 3?\nAnswer: 301\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 11795093 to the power of 1\/2, to the nearest integer?\nAnswer: 3434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence of when two letters picked without replacement from qqqsssoqoof?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 2*d**5\/3 - 706*d**4\/3 - 5904*d**3 - 143744*d**2\/3 - 386048*d\/3 = 0.\nAnswer: -8, 0, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -5*h**3 - 727190*h**2 - 1454360*h = 0.\nAnswer: -145436, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, s: 1, o: 4, b: 1, t: 1, n: 4}. Give prob of sequence onth.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -9*m - 10. Suppose 1 = -u, 0*b + 18 = -5*b + 2*u. What is the tens digit of a(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -245, -505, -777, -1061, -1357, -1665, -1985?\n\"Answer: -6*r**2 - 242*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -147390 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -175 + 179. Let y = 169 + n. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9 + (-2)\/48*212. Which is the nearest to 2\/3?  (a) f  (b) 5  (c) 0  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is (2\/((-20)\/295))\/((-1)\/(7 + 7)) a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 192*y**2. Let l(v) = -4*v + 1. Let p(i) = -31*i + 8. Let t(z) = -40*l(z) + 5*p(z). Calculate t(n(a)).\nAnswer: 960*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 187968823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 36417700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -23. Let w = 93 - 28. Calculate the remainder when w is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 4, -5, -26, -4 in increasing order.\nAnswer: -26, -7, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -6*h - 185. Let u(r) = 378*r - 7. What is t(u(g))?\nAnswer: -2268*g - 143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11309 + -11309. Solve 96 = -a*y + 12*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*n**3 - 25*n**3 + 12*n**3.\nAnswer: -66*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-45*a - 65*a + 57*a)*(3*a + 2*a - 4*a)*(2*a**2 + 0*a**2 - 3*a**2)*(2 + 0 + 0).\nAnswer: 106*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**2 + 8*u - 7. Let r = -86 - -91. Calculate g(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o - 7. Let v be j(6). What are the prime factors of 6 - v*(1 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**2\/7 + 10*b\/7 = 0. What is b?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 28\/99655 and 2\/737447.\nAnswer: 3687235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j**3 + 140*j**2 + 512*j + 496 = 0. Calculate j.\nAnswer: -31, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(833) - (sqrt(833) + 0) - sqrt(833)) + (2 + sqrt(2448) + sqrt(17) - sqrt(17))**2)*-3 + 2.\nAnswer: -7354 - 123*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1738 + 1740. Suppose 5*z - l - 4 - 2 = 0, 10 = -z + 3*l. Suppose o*q - 132 = -3*s, 5*q - 86 = -z*s - 9. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 556883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3582415.\nAnswer: 5, 716483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in 5, -5\/4, -12, -46, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 297687619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c. Let q(x) = 49039290*x**2. Determine q(b(o)).\nAnswer: 49039290*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 51 = -4*j + 70, x = 5. Solve 3*n = -9 + j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -21*z**2 - 24*z + 25. Determine y(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 + -5. Suppose -5*h + 8*x - 3*x + 75 = b, -3*h + 2*x = -47. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 27*r + 283. Calculate y(-35).\nAnswer: -662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.3 - 0.4. Which is the closest to -0.1?  (a) -3\/8  (b) r  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3505303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1275 + 1276 - f**3 - 22*f**2 + f + 73*f**2 to the form h + x*f + c*f**2 + n*f**3 and give c.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1489080276 to 5 dps.\nAnswer: -0.14891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + -3. Solve 2*i = -4*s - 3*i - 30, -3*s = -g*i + 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 496*m + 365*m**3 + 491*m - 988*m + (1 + 1 - 3)*(-3*m**3 - 2*m**3 + 4*m**3).\nAnswer: 366*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 3*z**3 - z**2 - 1. What is d(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -309.7 + 0.49.\nAnswer: -309.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 + 3*l - 5. Let c be f(-5). Let y(n) = 102399*n**3 + 5*n**2. Let m be y(c). What is m rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30.66878 meters to nanometers.\nAnswer: 30668780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.00964*-0.12.\nAnswer: 0.0011568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j + 16. Let o be m(12). What is the least common multiple of 20 and 1*o - (12 - 16)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (1 - 1) - (6 - 8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -21*g**2 - 26*g + 189. Let v be t(6). Let h = -721 - v. Solve 2*z + h*z = -20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 220*t - 227*t - 10 = 5*k, 7*t - 2*t = -3*k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -86 - -53. Let j be 6\/(y\/(-6) - 4). What is the derivative of -5*h**j + 7*h**4 - 1 + 7*h**4 wrt h?\nAnswer: 36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/10*(-15)\/4. Let t be 600\/18*(-555)\/35. Let r = -528 - t. Which is the closest to 0.1?  (a) r  (b) w  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8280436 a multiple of 892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 AM and 5:28 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10750 and 1149520.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f**3 - 5*f**2 + 5*f**2)*(2*f - f + 2*f)*(0 - 6 + 4).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/5 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15 - -19. Suppose j*a + 3*q + 90 = 0, -a = a + 5*q + 38. What are the prime factors of (a\/20)\/(3\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1107 - 1058. What is the greatest common factor of i and 84?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -352 - -417. Let i(p) = -133 + p**2 + 65 - p**3 + 4*p + m. Suppose -3*n + f + 11 = 2*f, -4*f = -2*n - 16. What is i(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -88097 - -88163. Suppose -16 = -i - 2*f, f - 2 - 18 = -i. Suppose 0 = -r + 5*r - i. What is the highest common divisor of r and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -48*d + 176. Let a(v) = 2*v + 1. Let x(h) = -4*a(h) - b(h). Does 50 divide x(32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8084.79 times 0.3\nAnswer: 2425.437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1945 and 8?\nAnswer: 15560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + 0. Let j = -126.65 + 126.35. Which is the nearest to -6\/17?  (a) j  (b) -2\/9  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -16*u**3 - 8068*u**2 + 148320*u + 37584 = 0?\nAnswer: -522, -1\/4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, n: 5, x: 1, h: 5}. What is prob of sequence lnhh?\nAnswer: 10\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**(-4)*j)\/j)\/j**6*j*j\/(((j*j**(-1)*j)\/j)\/j*j)*j**(2\/35))**(-9\/2) assuming j is positive.\nAnswer: j**(1251\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and -149.\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 - 32*r**2 + 107*r + 329. Calculate o(28).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33*m**2 - 8*m**2 + 7*m**2 to the form a*m + w + g*m**2 and give g.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 70*f + 5 - 68*f - 1. Give w(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 53739 and -36.89.\nAnswer: -1982431.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2435208.\nAnswer: 2, 3, 101467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (426\/(-639))\/(10*1\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of -d**6\/120 + 7*d**5\/60 + d**4\/4 + d**3 - 2*d**2. Let u be t(8). Let s = 35 + u. Does 20 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45740887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (29 - 31) + 18 + 1 + (-11 - -9)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 24237 - 24237.000156938. What is i rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-4))**19 assuming q is positive.\nAnswer: q**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7.7924 and 688?\nAnswer: 5361.1712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2*p - 8. Let g be (-1 + 0)*(-14)\/(-2). Let m be n(g). Solve 0 = 5*h - 2*q - m, -h + 15 + 0 = -5*q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**(3\/7)*v))\/v*v*v\/((((v*v\/v**1)\/v)\/v)\/v))\/((v**(4\/3)*v)\/v*v*v**2) assuming v is positive.\nAnswer: v**(-37\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 6, t: 12}. Give prob of sequence qtqt.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 391133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 2*o + 3*v = 9, 2*o - 22 = -4*v. Suppose -3*d - o - 15 = 0. Let i = -6 - d. Solve 11 + 1 = -i*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - 0 - 1 - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -34 - -49. Suppose -v - y - 10 = -5*y, 3*v = -3*y - i. Let z(k) be the first derivative of k**3\/3 + 5*k**2\/2 - 2*k - 17. What is z(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (41 - (45 - 3) - (-1 - -5)) + -29.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -25960 by -5.\nAnswer: 5192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 5*x - 2. Let v(w) = 11*w - 5. What is 9*s(n) - 4*v(n)?\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -69*j - 19*j - 212*j - 26*j as a*j + f and give a.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/(81\/78)*-6*2\/(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3\/26 - -5\/13. Which is smaller: 3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 914489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4515 and 735.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1961861 is divided by 490464?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6084786.\nAnswer: 2, 3, 1014131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1587*f**3 + 4229*f**3 + 16890*f**3.\nAnswer: 22706*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1694843 is divided by 141236?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5040731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 3*p**2 + 177*p - 18. Let x be g(-60). Suppose -4*m + 543 + 105 = 0. Do m and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/21)*k\/((k**(1\/11)\/k)\/k))\/(k**(2\/25)*k**(4\/7)*k)*(k**(4\/9)*(k**(-1)\/k*k)\/k)**(-46) assuming k is positive.\nAnswer: k**(1263139\/17325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 46545 a multiple of 321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 242 - 202. Let v = -38 + d. Let f be ((-6)\/(-4))\/(-1 + -8). What is the closest to 1 in f, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 6*v**3 + 22*v**2 - 371*v + 30. List the prime factors of g(13).\nAnswer: 12107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -28*x**5\/11 - 1314*x**4\/11 - 17518*x**3\/11 - 51186*x**2\/11 + 75146*x\/11 - 5100\/11 = 0.\nAnswer: -25, -17, -6, 1\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 6 - 4*f - 11 + 14. Let k(a) = 3*a - 6. Determine 5*g(q) + 7*k(q).\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12336 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -375, -373, -371, -369, -367, -365?\n\"Answer: 2*b - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 27841923*f*v - 2*f + 203*v - 2475146 wrt f?\nAnswer: 27841923*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7667 bigger than 7655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:33 AM and 11:21 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 + 1 + 54)*1. Let a = -45 + k. Suppose -4*x = -a*x + 165. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6194.61 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 5 = 3*o, 0 = 4*r + r + 2*o - 8. Let x be ((-5)\/((-20)\/(-16)))\/(-3 + r). Solve -x*f = 6 + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 238*u - 118. List the prime factors of m(40).\nAnswer: 2, 3, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -123*h**3 - 7*h**2 - 13*h**2 + 22*h**2 + (-2*h - 3*h + 6*h)*(4*h**2 - 3*h**2 - 4*h**2).\nAnswer: -126*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 13, w: 5}. Give prob of sequence wy.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13072757 is divided by 158?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.05, 0.04, 37\/2, -0.4 in decreasing order.\nAnswer: 37\/2, 0.04, -0.05, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 4 + 2)*(7 - 15 - 4) + 3 - 4 + 0)*(1 + 3 - 2)*((0*t - 2*t + 3*t)*(1 - 5 + 3) - 6*t + 4*t - 11*t).\nAnswer: -644*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -0.1  (b) -0.7  (c) 95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 13) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1752, 1745, 1734, 1719, 1700?\nAnswer: 1677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 141.82 hours?\nAnswer: 510552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 5, h: 4, w: 10}. Give prob of sequence wmh.\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.416131153 + -0.1.\nAnswer: 0.316131153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 249 and 39444671?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {g: 5, z: 11}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 30225103 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -361*p**2 - p + 737*p**2 - 365*p**2 + 444 + p**4 + 643 wrt p.\nAnswer: 4*p**3 + 22*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1943051*r**3 - 334583*r wrt r.\nAnswer: 11658306*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7944325, -7944331, -7944337, -7944343?\nAnswer: -7944349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**2 + 6*h + 10. Let u be q(7). Let g(s) = -s. Suppose -3*k = 2*k + 5. Let j(r) = r - 1. Let d(p) = k*j(p) - 3*g(p). What is d(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2\/23051 - -2051515\/276612. Suppose -698 - 967 = 15*l. Find the common denominator of (l\/21)\/(152\/(-133)) and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 1\/2, 0, -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s**4 + 7685*s**3 + 151365*s**2 - 507965*s + 348910 = 0 for s.\nAnswer: -1517, -23, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/20*((-3060)\/(-8))\/(-51).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102661539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 511812.08 rounded to the nearest 10000?\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 13, f: 3}. What is prob of picking 2 f and 1 j?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -109*t - 387*t + 37*t - 193*t.\nAnswer: -652*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -217744, 0, -4 in ascending order.\nAnswer: -217744, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p = 2*k - 5245 + 5251, 4*p = 3*k + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3381*m + m**2 + 1687*m - 2745284*m**3 + 2745292*m**3 + 1694*m.\nAnswer: 8*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**4 + 194*x**3 + 2285*x**2 - 12308*x.\nAnswer: x*(x - 4)*(x + 17)*(x + 181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.7488 - -1306.7488. Sort -4\/7, 3, u, 1\/3, 0.3 in decreasing order.\nAnswer: u, 3, 1\/3, 0.3, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w + 3*w - 7*w + (-1 + 3 - 4)*(3 + w - 3) + 4*w - 6*w + 3*w + 2*w + 0*w + 0*w - 177*w - 138*w + 28*w.\nAnswer: -288*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 191485806 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -21*a + 9. List the prime factors of c(-8).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 - 3*v**2 - 39*v - 65. Let r be y(-2). Let s(i) = -2*i**2 - 6*i - 6. Give s(r).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 5 + 1. Suppose -d*n = -0*n + 3*s + 2, -4*s = -4*n + 36. Suppose 0 = -3*h + n - 2. What is the third smallest value in 5, 1\/3, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -46.5 + 54. Let t = 18.1 + j. Let g = -26 + t. Which is the nearest to -2\/5?  (a) -0.2  (b) g  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 180\/31 - 3271\/558. Suppose 0 = i - 3 - 0. What is the closest to 2\/7 in 1, q, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 21 = -111. What is the hundreds digit of x\/(1 - 3) + 285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000164525 rounded to six dps?\nAnswer: 0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 + 15. Let z = g - 6. Sort 1, 0, z in ascending order.\nAnswer: z, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the third derivative of 11*a**2 - 1\/6*a**3 + 1\/120*a**6 + 0 + 0*a - 1\/12*a**4 + 1\/12*a**5. What is the units digit of k(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 292664*o**3 - 1 - 293068*o**3 + 1 + 17*o.\nAnswer: -404*o**3 + 17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*j + 5*k - 14 = -108, 3*j - k - 20 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 19+-144814.1\nAnswer: -144795.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 505973.7 to the nearest one hundred.\nAnswer: 506000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 12928645?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-20)\/5 - (4 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -1  (b) -2\/7  (c) 0.1  (d) -0.121  (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16109 + (-1305)\/(-87)*4\/10.\nAnswer: 5, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.09 - -8.09. Which is bigger: d or 1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3640803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1872528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 29738863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 16404 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r = -2*r + 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 113*t - 525925 - 391635. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(2\/3)*u\/(u**(3\/8)\/u*u)*u*u**1*u**(-2\/3)\/u assuming u is positive.\nAnswer: u**(13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of -2\/5*a**5 + 2*a**2 + 0*a - 2 + 0*a**4 + 0*a**3. Find the second derivative of f(m) wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6215 and 2585.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 2104 = 6*z + 2130, -74 = 2*z - 3*x - 2*x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1673 - -51857\/31. Let c be 6\/2*-1 - -2. Is v at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1880)\/(-846) - (-640)\/(-45) - 5\/(15\/36).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 4*x + 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/(-60)*(10\/(-16) - 0)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 - 2*s**2 - 8. Let o(t) = -t**3 + t**2 + 9. Let n(k) = -4*f(k) - 3*o(k). Let l be n(5). Suppose -l*m = -m. Which is bigger: 3\/8 or m?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14.811 - 10.811. Sort -3\/5, -0.2, d, 0.3, 15.5 in ascending order.\nAnswer: -3\/5, -0.2, 0.3, d, 15.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.05395 and -289.\nAnswer: 15.59155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -5*x. Let b(g) = 14*g. Let w(i) = 4*b(i) + 14*u(i). Let z(q) = -72*q**2 - 80*q**2 + 154*q**2. What is z(w(d))?\nAnswer: 392*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 929 is divided by 476?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16486, -34175, -51862, -69547, -87230, -104911?\nAnswer: -122590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1525 by -5.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2*s**3 + 48*s**2 - 275*s + 127. What is i(16)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1450359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 3 = -g. Solve x - 2*x - 2 = m, x = -g*m - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 + 10. Let f = -1 - -3. Suppose -4*b + 42 = -v, -f*b - 4*v + 11 + 19 = 0. What is the remainder when b is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1210327, 4841310, 10892945, 19365226, 30258147?\n\"Answer: -k**3 + 1210332*k**2 - 6*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 + -10. Let i = -194 + 206. Suppose -5*c - 2*w + 2 = 0, -2*c + 4 = -3*w - i. Solve -c*a - a = o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.1342  (b) 5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6\/7 in 5, -68, 398\/3, 0.43?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -5*d + l, 4*d + l = 3*l + 20. Let m = -2 - d. Let a be (-8)\/((-15)\/m - 3). Solve -3*i = i - a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17 or -193\/12?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 3*z - 3*z + z + 234*z**2 - 464*z**2 - 90 + 229*z**2. Give k(0).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4\/60105 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 3\/4, 41, -29, 5\/4, -21\/4, -3\/10, 0?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p**2 + 0*p**2 - 3*p**2)*(-794 - 756 - 1000 - 1).\nAnswer: 2551*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2b470 (base 13) in base 12?\nAnswer: 3b5a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -z + 56. Let d(r) = -r**2 + 2*r**2 + 5 + 4 - 2. Let c be d(0). What is the highest common divisor of c and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 120 - 40. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - ((-4 - 7 - -7) + -13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(832) - (sqrt(832)*-3)**2).\nAnswer: -7485 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -5543328*h**2 - h - 1. Let t(l) = l. What is t(n(v))?\nAnswer: -5543328*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-58 - 10*m**3 + 58)*(58*m + 62*m - 16*m) to the form u*m**4 + g*m + z + f*m**3 + y*m**2 and give u.\nAnswer: -1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1270)\/(-26) + -9 + 1190\/130. Suppose -l + m*l - 36672 = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1155*d + 571*d = -15184 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 2*p - 17980 + 18007 = 0, 29*y - p = -96 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**2 - 5*g - 4. Let s be t(7). Calculate the highest common divisor of s and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 2 z when four letters picked without replacement from {i: 1, z: 4, u: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -205 + 7?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*j - 31 - 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -265*a**2 + 1 + 265*a**2 - 2*a**3 + 6*a as l*a**3 + n*a**2 + v*a + t and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93*m - 1783 - 3518 = 0. Solve 203 + 82 = m*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/10 and -181\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 + -6. Suppose -3*m + 0*m + 3 = 0. Suppose -w + m = -2*j, 5*j + 5*w - 3 = 2*w. Solve y + c*y - 20 = j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*(l\/l**(2\/33))\/l)\/l*l**(-1\/5)*l**(-4\/11)\/l**(-2\/7) assuming l is positive.\nAnswer: l**(-391\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -6041485 divided by 1208297?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2.8, 1, -2\/177, 2, 5?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 261*q = -125*q + 31*q + 1065. Let h = -1 - 0. Let s be h\/6 + (-2)\/(-3). What is the third smallest value in q, -3\/5, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60430202 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8 or 0.009?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -a**5 - 8293747*a**2*l - 6*a*l + 17*a - 19*l - 120 wrt a.\nAnswer: -20*a**3 - 16587494*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of 1\/420*s**7 + 0*s**3 + 0*s + 0 - 1\/240*s**6 + 0*s**4 + s**2 + 0*s**5. Let k(g) = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-3)\/(-2))\/(12\/(-16)). Let i(p) be the first derivative of 4*p**3\/3 - p**2 - p + 2. Let o be i(q). Solve 2*b = 2*k + 14, 5*k = -3*b + 4*b - o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i - 657 = 3249. What is i rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 304, 623, 942, 1261, 1580?\n\"Answer: 319*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the second derivative of -v**3\/6 - 3*v**2\/2 + 9*v. Let w be g(-5). Find the second derivative of -j**w + 12*j**2 - 11*j - 4*j**2 + 5*j**2 wrt j.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 9.144 and 0.4.\nAnswer: 9.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of n**3 - 8*n**2 + 76*n?\nAnswer: 6*n - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by 260488\nAnswer: -7\/260488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -30 + 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/77 and 59\/715968.\nAnswer: 5011776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22516, -90198, -203042, -361048?\nAnswer: -564216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 1 - -1 - ((-10 - -21) + -18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 144*d + 954. Calculate q(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**2 + d + 6. Let f(u) = 5*u**2 + 18*u + 61. Let q(k) = -f(k) + 4*s(k). Calculate q(-16).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 + 6*r + 730. What are the prime factors of x(0)?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -238302 by 9.\nAnswer: -26478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1123 - 1123.3. Which is the closest to -2\/3?  (a) 0.3  (b) -0.4  (c) 0.7  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -1  (b) 349  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.24532306 rounded to three decimal places?\nAnswer: -0.245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27*n + 0*n + n to the form p + b*n and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**3*i)**(-32))**10)**11 assuming i is positive.\nAnswer: i**(-14080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 6, y: 3, j: 3, h: 4, s: 4}. What is prob of picking 2 s and 2 y?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/10 + 603\/5. Suppose -p = -r - 0*r. Suppose 3*q - 44 = -q. What is the highest common factor of q and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 5:04 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -298aa71 (base 11) in base 12?\nAnswer: -1871557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 - 20 = -9*o. Suppose 0 = -3*c + o*c - 242. Let v = c + -55. What are the prime factors of v?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1856*l**4 - 388*l**4 - 1 - 972*l - 79*l**3 - 46*l**3 + 125*l**3 wrt l.\nAnswer: 17616*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -53559, -95988, -138417?\nAnswer: -180846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3276 by -468.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do -100313 and -100312 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ae when two letters picked without replacement from veeveevvae?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2514825 and 2514825.\nAnswer: 2514825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/3)\/2*3. Suppose 4*y - 117 = -z - 11, -5*y + 143 = -4*z. Suppose 73 = m*k - y. What is the highest common divisor of k and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 3*a - 3. What is the highest common factor of 90 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:32 AM and 1:48 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 600 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 - 12*x**2 - 13*x - 13. Give z(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 20*z - 16*z. Let k = -10 + 15. Solve -5*f + 0*r = -k*r - z, -4*f + 3*r + 9 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 0*q + 5*q = -79, 0 = 4*q - 4. Let b = l + 67. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 357628537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -97, -100, -101, -100, -97, -92?\n\"Answer: f**2 - 6*f - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.7 + -0.3. Let z = -625 - -627. Sort v, -0.3, z in ascending order.\nAnswer: v, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -40*q**2. Let o(u) = -18*u. Determine d(o(x)).\nAnswer: -12960*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ndnd when four letters picked without replacement from dddddduldluddlnl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (8*b**3 + 6*b**3 - 8 - 16*b**3)*(-4*b - b + 3*b)*(0 + 0 + 1) in the form w*b**3 + l*b**2 + u*b**4 + p + t*b and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -93\/8 and 11\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -21220081 smaller than -21220080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 97346.47 weeks?\nAnswer: 981252417.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**2 + 62*a - 63*a - 2*a**2 - 4 + 2*a**3 - a**2. Let w be l(4). Suppose -32 = -8*s + w. Calculate the remainder when 17 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11 + -7 + (-1 - -4988)?\nAnswer: 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3. Let v(q) = 2*q**3 - 3*q**2 + q. Suppose -5*x + 2*n - 76 = 0, 5*x - 4*x + n + 18 = 0. Let d = x + 13. Give d*p(h) - v(h).\nAnswer: h**3 + 3*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from geneonnonynneenon. What is prob of picking 1 e, 1 g, and 1 y?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 70 and 1376990?\nAnswer: 9638930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = -5*o + 26, 10968*g - 10966*g + o = 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4180.9 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -6*o - 71. Let r be m(10). Let i be 24\/5*40*-1. Let t = r - i. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*t - 10*t - 16*t to n*t + z and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53 = -7*l + 102 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 PM and 11:56 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-126801*f**2 - 291*f**4 + 126801*f**2)*(7 - 7 - 4*f).\nAnswer: 1164*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 2*z**3 + 31*z**2 + 475*z + 6897. Determine k(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*h - 33*h + 91*h - 29*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -9\/55 and -107\/300.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 30\/(-8) + (-3)\/(-4). Let l be (-140)\/(-60) - (-1)\/s. Solve 4*z = -3*p - 6 - 2, -l*p = z + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22\/1107 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 4*k. Let y be 50\/75 - (-40)\/(-78). What is the nearest to k in 0.2, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66838548 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -30\/49 and -79\/290.\nAnswer: 14210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1635 is divided by 327.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/(-14))\/((-72)\/616*-11).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 - -112102012110111?\nAnswer: 112102012110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -53 + 7 + (16 - (42 - 12))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -217*b*o - 11*b + 17 wrt o.\nAnswer: -217*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 57437 and 2134?\nAnswer: 122570558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5.001 - -4.721. What is the nearest to 25 in 3, y, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 903155 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -512, -9, -26?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 264183.3 months?\nAnswer: 2201.5275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4.72795 times 0.08\nAnswer: 0.378236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -251 + 603. What is the greatest common divisor of 32 and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3613770 is divided by 2200.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5)\/(-2)*(55 - -3). Suppose -10*f - 120 = -2*t - 11*f, -3*t + 186 = 3*f. What is the greatest common divisor of d and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-6)\/(-9))\/(4\/100338) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 2 = 3*g. Let w = -11 - -12. Let d(o) = -o - w - 5 + 0*o**2 + 2*o**2 + 5. Calculate d(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31247?\nAnswer: 31247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 155828 is divided by 49560?\nAnswer: 7148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -271072190*y**3 + 528*y + 168638?\nAnswer: -1626433140*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/(-217) + (-30 - (-143416)\/806 - -4)?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 2\/7  (b) 1  (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 5*r - 12. Sort r, -9, 5.\nAnswer: -9, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 239863 (base 10) in base 5?\nAnswer: 30133423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cuc when three letters picked without replacement from cppcccpuppupccp.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes before 5:30 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the first derivative of t**3\/3 + 40*t**2 - 81*t + 498. Solve y(o) = 0.\nAnswer: -81, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 2. Let u = -21.9 - -20. Let w = -2 - u. Which is the second smallest value?  (a) k  (b) -0.3  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -304*w - 209. What is the thousands digit of z(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + u**3 + u**3 + 53*u**4 - 54*u**4 + 52*u to b*u**4 + x*u**3 + f*u + r + i*u**2 and give f.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a day in hours?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4212596 is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/20*-4)\/(46\/115)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + s)*(2*s**3 - 3*s**2 + 3*s**2) + 2*s**4 + 36*s**3 - 3*s**4 + 230*s**3.\nAnswer: s**4 + 266*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - 3*w**2 + w + 7. Let g be d(-3). Suppose g*q - 9 = 5*r, -6*q = -2*q + r - 3. Let t(m) = -9*m**3 + m**2 - 1. Give t(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*p - 27 + 27)*(2 + 0 - 3).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 327293 is divided by 46?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 214\/9139 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -22560 + 22559.856. Is l at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 - -52?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*t + 4*r - 5, -67 + 71 = -4*t + 5*r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 586 + -571. What is the highest common divisor of x and 5415?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 148 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -2*b**3 - 12*b**2 + 141*b - 31. Let c be p(-12). What is the second biggest value in -5, 2\/7, c, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -818*c**2 + 1262*c**2 + 1326*c + 105*c**2 - 5328*c + 1322*c**2 wrt c.\nAnswer: 3742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2057) + 1 + sqrt(2057) + -1)*-1)**2*6.\nAnswer: 49368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*h**4 + 51*h**3 - h**2 - 15*h + 2 = 0 for h.\nAnswer: -1, 1\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1530?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (3 - (-16 + (7 + -9 - 7)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(320) + sqrt(320) + 2 + sqrt(320))**2 + sqrt(320) - (sqrt(180)*1 + sqrt(180)))*3.\nAnswer: 276*sqrt(5) + 8655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2231209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 3 = -v. Let b = 7 + v. Suppose -55 = -5*w + b*k, -3*k + 1 = 13. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88*l**3 - 27988*l + 27988*l.\nAnswer: 88*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 76148 - 76150. Let u = -0.16 + -1.04. What is the second biggest value in b, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -3  (b) 0.1  (c) -2  (d) -0.09  (e) 0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.330533 decades?\nAnswer: 39.66396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.08, 2322, 3\/5.\nAnswer: -0.08, 3\/5, 2322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (2*(0 + (sqrt(500) - 5*(0 + sqrt(500))))*-2)**2 + -5 + 1.\nAnswer: 127996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 + 17*v**2 - v - 3. Calculate the remainder when i(-16) is divided by 56.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 greater than or equal to 170\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*x - 4*x - 2*l, 0 = x + 2*l - 1. Suppose 5*r - 35 = x*n, 2*r - 17 = -n + 8. Solve 5*q = -5 - r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 1 - 1 = -s, -a = 2*s - 6. Suppose 9*i + 2*z = 8*i + 12, 4*z = -s*i + 52. What is the highest common divisor of i and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 1989*j - 1969. What is the lowest common multiple of 4672 and m(1)?\nAnswer: 23360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + 0)\/(-10 + 9). Suppose 4*p = -20, o*p + 2*p + 15 = -5*v. Let y = 68\/945 - 2\/135. Is v less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -140*p**3 - 137*p**3 + 411*p**3 - 131*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**2 + 9*g + 4. Let r be i(3). Let p(m) = -m**2 + 24*m - 39. Let c be p(r). Let q = -18\/119 + 3184\/595. Is c > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9, -60, -153, -294, -489?\nAnswer: -744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-5 + -2 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 619091781?\nAnswer: 3, 7, 11, 53, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, k: 1, i: 1, t: 1, r: 1}. Give prob of picking 1 p and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -55 - -31. Let s = 24 + j. Suppose 5*r + 4*c - 1239 = s, -5*r + 1275 = 5*c - 10*c. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 - 17*p**2 - 7*p + 159. Let o be r(-16). Let t be (-63)\/o - (-3 - (-1)\/(-1)). Which is smaller: -75 or t?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 441985, 441960, 441937, 441916, 441897, 441880?\nAnswer: 441865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -2*m**3 + 2*m**2 + 2*m - 3. Let q be f(1). Is q <= -2\/269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.01, 396, -8, 0?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and -50572242?\nAnswer: 50572242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 69.596 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 + 9*i + 8. Let p be j(11). Let t = p + 16. What is the third derivative of -m**t + 5*m**4 - 3*m**4 - 5*m**2 + 3*m**2 wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 4 + 10. Let q(g) = -g**2 - 7*g + 1. What is q(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -75*t + 8062. Give h(115).\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1116)\/(-4) + -3 - (1 + 2). Let b = y - 183. Is 45 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 0*o = -6*o. Suppose o*z = 6*z + 264. Let a = z + 118. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-12)\/(-42) + (-1256)\/4298. Let y = 3987\/614 - q. Factor -11\/2*u - 2*u**3 + 1 + y*u**2.\nAnswer: -(u - 2)*(u - 1)*(4*u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5832 + -5824. Solve -15*t - z*t = -161 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 5456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**2 + 10*u - 1. Let k(y) = 2*y. What is 11*k(p) - 2*z(p)?\nAnswer: 2*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -5308655 + 0.3\nAnswer: -5308654.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 4*b + 0*b - 3*b. Suppose 6*c = -652 + 2590. Let a(u) = c*u - 650*u + 314*u. What is a(v(g))?\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -288601.789 + -18806.\nAnswer: -307407.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 235 = -4*z + 8*z - k, 0 = 4*z + 2*k - 250. Is 16 a factor of (-2086)\/(-10) - 9*4\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the third derivative of 5669*d**6\/60 + 101*d**5\/60 - 3*d**4\/8 - d**3\/6 + 10267*d**2 - 2*d - 1. What is the third derivative of x(f) wrt f?\nAnswer: 68028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:45 PM and 6:07 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 9 = 2*t, -13*t - f + 15 = -8*t. Let d be 4 - (3 + -6) - 2. Solve 0 = 4*w + 5*h + t - 17, -d*w - 2*h + 6 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 - 11*f**2 - 13*f + 20. Let l be n(12). Suppose 144 = 2*t + 2*g, t - 76 - l = -4*g. Is 68 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7207947 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**8*i*i*i*i\/i**(-15))\/(i**(-4\/7)\/(i\/(i\/(i*i**(2\/25)*i*i)))) assuming i is positive.\nAnswer: i**(5364\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - 5*u - 2 + 17 = 0, u = 3*a - 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 15 = 354. Calculate the highest common factor of l and 328.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -97.15.\nAnswer: 485.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4686?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1912400.5 from -0.01.\nAnswer: -1912400.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1005\/(-5025))\/((-17)\/(-5))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + 2 - 6 - (0 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 183, 3, 5, -5 in decreasing order.\nAnswer: 183, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 - d**2 - d + 106. Is o(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 186298 and 159684?\nAnswer: 1117788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64.279611ns to hours.\nAnswer: 0.0000000000178554475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -6543*u**3\/2 - 26171*u**2 - 39250*u + 12 = 0.\nAnswer: -6, -2, 2\/6543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -3*w**2 + 63*w + 592. Calculate l(-8).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (379\/29)\/(120\/86495). Let h = j + -9420. Is h at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, t: 4, x: 1, q: 5}. Give prob of picking 2 q, 1 f, and 1 t.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*q + 4560 = 42*q + 285*q for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of 16*l**5 - 98*l**4\/3 - l - 44. What is the third derivative of g(x) wrt x?\nAnswer: 1920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.6 + 3. Let v = -73 - -74. What is the nearest to -0.1 in i, v, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -362*q + 3705. Calculate the remainder when 337 is divided by m(10).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -576\/11?  (a) -0.06  (b) 5  (c) 197  (d) 4  (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 35071719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence voov when four letters picked without replacement from {v: 5, o: 11}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - 16a77?\nAnswer: -16a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkc when three letters picked without replacement from cccckcckccccckc.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34 - 2.152112.\nAnswer: 31.847888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:50 PM and 4:38 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1c3875 - 2?\nAnswer: 1c3873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i - 150. Let w(x) = -2*x - 226. Determine -8*d(k) + 5*w(k).\nAnswer: -2*k + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a day in minutes?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -21b (base 12) to base 5\nAnswer: -2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 2*b**2\/5 - 98*b + 27768\/5 = 0?\nAnswer: 89, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 5. Let u = w + 3. Solve u = m - 0*m - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*1\/(-105)*5.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 230 + -224. Solve 0*v = 6*v - k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**3 - 4*z**2 - 3*z. Let s be n(-3). Let y be 1 + (3 - s - 2). Suppose y*p = -f + 21, f + 3*p - 7 = 12. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -3650411, -14601470, -32853235, -58405706, -91258883, -131412766?\n\"Answer: -3650353*n**2 - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 18090634 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 610663943 to the nearest integer?\nAnswer: 24712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.216962884 to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*o + 92 + 2*o**2 - 10*o - 12*o - 12*o + 48*o in the form p*o + h + l*o**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -55\/2*z**2 + 113\/4*z**3 - 3\/4*z + 0 = 0. Calculate z.\nAnswer: -3\/113, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1240\/((-10)\/(-2)) + -4. Which is smaller: h or 245?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of -t**6\/160 + 3*t**4\/8 - 2*t**3 + 11*t**2 - 211*t. Factor u(y).\nAnswer: -3*(y - 2)**2*(y + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/126939 and 73\/218178.\nAnswer: 543045042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/(-40))\/(1\/(-4)). Let f = -21821\/72700 + 51\/727. Let t = f + -1\/50. What is the biggest value in 0.2, b, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 11*p + 79. Is 3 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 7*i**2 + 4*i + 1. Determine s(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + (59 - (-7 - 310\/(-10)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9705*u - 351*u - 2398*u + 4834*u.\nAnswer: 11790*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a**3 - 121180*a**2 + 242345*a - 121170 = 0 for a.\nAnswer: 1, 24234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9 + 9 - 4*l**3 + 0 + 6*l wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 131145557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the second derivative of q**3\/6 - q**2\/2 - 6*q. Let p(u) = 7*u - 9. Determine -6*o(s) + p(s).\nAnswer: s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(78)*1*1)\/(sqrt(96)*-5) - (-2 + (-4*sqrt(78))\/sqrt(6) + -5)**2.\nAnswer: -257 - 1121*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of -199*n**8\/56 - n**4\/12 + 9*n**2\/2 - 3*n - 47. What is the third derivative of h(v) wrt v?\nAnswer: -23880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - 4. Suppose d = 4*w + 1 - 9. Suppose 0*q - 8 = -w*q. Solve -2*j + 22 = -q*f, 10 = -j + 6*j + 5*f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 5*x**3 + 2*x**2 + 2*x + 7. Let y(l) = 4*l**3 + 3*l**2 + 3*l + 8. Let q(z) = 3*b(z) - 2*y(z). What is the first derivative of q(r) wrt r?\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -556675 + -10?\nAnswer: -556685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000049876043 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -32.9962 - -33. What is a rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8580357 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -851*j + 849*j + 183*m - 188*m, -6 = 3*j - 2*m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -36220 (base 7) to base 12.\nAnswer: -5511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + 7 + (5 - 14) + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32 and 15328?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -43 + 103. Calculate the remainder when g is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0005136595 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 156*s + 57. Is p(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o**2 - 22*o - 65. Let t be k(14). Calculate the highest common divisor of t and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2)*(-2*b + 0*b + 0*b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.065 and -21384160963.\nAnswer: -21384160963.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1406*k + 1654*k = -3526*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d = -11*d + 114. Suppose -c = -4*f - 3 + 15, 5*c = -20. Calculate the remainder when 6\/(-14) - d\/(-7) is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 3.7  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 66, 0.05, 8 in increasing order.\nAnswer: 0.05, 5, 8, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26*f - 2 - 10*f**2 - 26*f)*(-5 + 12 - 27) + (-5*f + 3 - 3)*(-2*f + 2*f - f).\nAnswer: 205*f**2 + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 AM and 8:38 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5.03 - 4.542. Which is bigger: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y - 137 = -3*c - 79, -y = -c + 6 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 25 = 0, 0 = i - 6*i + 3*l + 135. Let q be (1\/((-15)\/18))\/((-3)\/i). Solve 3*t + q = 2*n - 7, 5*n - 35 = 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -9*u - 12. Let j be m(-3). Suppose j*x - 13*x = 4. Suppose -8*n + 7 = -3*n - a, -n + x*a - 4 = 0. Solve 2*d + n = -4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49697554.\nAnswer: 2, 61, 407357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 3, 0.0298, -1067\/5?\nAnswer: 0.0298","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4560475 (base 10) to base 13.\nAnswer: c38a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*x**3 + 0*x**3 + 2*x**3 + 16 - 16 + 8*x**3 + (4*x**2 + x**2 - 4*x**2)*(2*x + 1 - 1) in the form t*x**2 + l + v*x**3 + m*x and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**2 - 5*l + 17. Let o be a(3). What are the prime factors of (o - (-10 + 7)) + 320 + -1?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**24*p\/p**11)\/(p**(-2\/17)*p**(-7)) assuming p is positive.\nAnswer: p**(359\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 4*j + 3260 = 3*p, -2*j - 2172 = -2*p. Let g = p - 768. Find the common denominator of 85\/6 and (-1*g\/216)\/((-5)\/15).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from {q: 4, y: 10, e: 3, m: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*x**2 - 7*x + 1198.\nAnswer: -8*x - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 113765968 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 79 = -78, -2*p = -16*o + 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10 - 16. Let w be ((-20)\/a)\/5*6. Suppose 0 = 4*x - x. Solve -4*q + w = -x*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 158*c**3 + 13412 - 312*c**3 + 7355 - 4957 + 156*c**3 to p + b*c + w*c**2 + t*c**3 and give p.\nAnswer: 15810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**3 - 8*r**2 + 12*r - 25. Let z be c(7). Suppose -3*s = -25*s + 220. Is s >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 3, 2.\nAnswer: -13, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -51294 by 6.\nAnswer: -8549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1812)\/(-453) - (1 - (-20)\/6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 - 11*z**2 - 7964*z - 79840. Calculate v(-10).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.6 and -10.87064522.\nAnswer: -10.27064522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*m - 27 = -29*m. Suppose -3*k - 3*v = -1911, k + 2*v - 641 = m*v. List the prime factors of k.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-123)\/9*3*-1. Let m = 67 - w. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 37.7 * -1082.2\nAnswer: -40798.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -376*z**2 + 28*z**2 + 14*z**2 - 77*z**2 - 139*z**2 as c*z**2 + h*z + v and give c.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 8*n - 37. Suppose -n*q + 4*q = 56. What is the remainder when q is divided by ((-25)\/(-70)*4)\/((-2)\/(-28))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 870 = -11*w. Suppose -10*l = -5*l - 3*b - w, -b - 10 = -l. Solve -l*x = -16*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3946100 rounded to the nearest 100000?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 251987 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - -b1368?\nAnswer: b136d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -14 - 5*c**2 + 13 + 25*c - 21*c + 6 + c**3. Give u(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -23\/85430?\nAnswer: -23\/85430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 8*u**3 + 2*u**2 + 8*u + 6. Let l be n(-1). What is the closest to 8 in 0.2, l, -1\/12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 17 = -w, 4 = -2*i + w + 3*w. Suppose -3*s - 4*c = -2*s - 12, -i = -2*c. Solve 2 = 2*b + s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**3 - 9*v**2 - 8*v + 6. Let p be c(-8). Suppose p*y + 20 = y. Let i = y + 10. Solve 0 = 3*z - i*z + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 82345802 and 6766.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/8025 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 1 = -2*l, g = -4*l + 12. Solve 4*d = -2*k + g, k + 1 = -0*d + d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1320128695 to the power of 1\/2, to the nearest integer?\nAnswer: 36334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -3*j - 3. Suppose -2*i + r = -j, 0 = 5*i - r + 5*r + 11. Suppose -n - 6 = -i, 4*n = 5*t - 50. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*o**2 - 2 - 8*o + o**3 + 43*o**2 - 16*o**2 as s + w*o + g*o**2 + j*o**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 23578 - -18?\nAnswer: 23595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 82?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, j: 10, a: 2, x: 1, z: 2}. What is prob of picking 1 p and 1 a?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -12*l. Let n(o) be the first derivative of -o**2\/2 + 8. Determine a(n(y)).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 + 15. Let n = -16026.89 + 16029. Is x greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41 = -5*i + 8*n, 5*n = -i + 3*n - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - 1. Suppose 5*o - 18 = -4*m, o = -3*m + 5*o - w. Suppose 0 = -m*t - 9108 - 4292. Round t to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minus 9001773?\nAnswer: -9001763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -5*q - 2*w, -4*q + w = -0*q + 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.074 + -9.074. Let v = 9.1 + i. Which is greater: v or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22 and 19035379?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -1. Let j be 24\/(-4)*r\/2. Suppose 0*l = j*l. Solve l = 5*m + 4*s - 7*s + 15, 5*m + 4*s = 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -376*x = -i - 378*x - 18, -i - x - 17 = 0. Let b(h) = h**3 + 7*h**2 + 9*h. Let c be b(-6). Is i\/(-72) - 8654\/c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18218?\nAnswer: 2, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 614818664, 614818663, 614818662, 614818661, 614818660, 614818659?\nAnswer: 614818658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*n**2 + 3*n**2 + 14*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 114614627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from taftt. Give prob of picking 1 f and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 44236.183 and -0.03?\nAnswer: -1327.08549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1114, 1251, 1620, 2335, 3510, 5259?\n\"Answer: 19*h**3 + 2*h**2 - 2*h + 1095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j = 5 + 3. Let u be j - -4 - (-3 + 5). Find the third derivative of -5*c**2 - 2*c**u + 4*c**3 - 2*c**3 + 5*c**3 wrt c.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-35)\/((-5250)\/(-180)))\/(4 + 132\/(-30) - 3).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -96*m**2. Let o(x) = 5*x - 6. Let r(d) = 14*d - 16. Let w(z) = -8*o(z) + 3*r(z). Calculate f(w(t)).\nAnswer: -384*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -26 - -6. Let a = d - -23. List the prime factors of a\/(-2)*(-128)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 2*x - 1, 3*x = -4*q + 6 + 7. Suppose 7*o = 2*o. Put q, -6, o in decreasing order.\nAnswer: q, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 841, 6748, 22771, 53968, 105397, 182116?\nAnswer: 289183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 26 in 5, 3\/7, 4, -8, 1.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -180523\/5 or -36106?\nAnswer: -180523\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2\/6 + 3*m\/2 - 26\/3.\nAnswer: (m - 4)*(m + 13)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 8535 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 h(k) = 7*k**2 - 7*k + 5. Suppose 3*t + 0*t - 14 = -4*g, 2*g = -t + 6. Calculate the remainder when 93 is divided by h(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 228*i = 231*i - 51. Suppose -2*p - 7 = -s, 4*p + p = -10. Suppose 20 = n + s. Is n smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -68*h. Let z(n) be the third derivative of -n**7\/1260 - 5*n**4\/6 - 43*n**2. Let y(d) be the second derivative of z(d). What is i(y(m))?\nAnswer: 136*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 2*m + 153. Let r(n) = -2*n. Calculate r(q(u)).\nAnswer: -4*u - 306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*f**3\/3 - 10*f**2\/3 + 14*f\/3 + 4\/3.\nAnswer: -2*(f - 1)*(f + 2)*(4*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2468 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -3*q - 17. Let c be l(-8). Suppose -12*d + 15 = -c*d. Let r(n) = 6*n**3 - 2*n**2 - 2*n - 7. Is r(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**3 - 3*o**3 + 2*o**3)*(o**2 - 2*o**2 - o**2) - 2*o**2 + 2*o**2 - o**5 + (-5*o**4 + 3*o**4 + 3*o**4)*(2*o + 5*o + 3*o).\nAnswer: 13*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/81 and -4\/99.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1321011.21 rounded to the nearest one hundred?\nAnswer: 1321000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*o - 9 + 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1008)*1 + 4 + -1*(sqrt(1008) + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -232 = -2*h - 0*h. Suppose -h = -3*z + 19. Suppose 8*f - z = -f. Which is bigger: 4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(-10)*z**(-1\/2)\/z)\/(z**(-3\/4)*z)**(-37))**(-36) assuming z is positive.\nAnswer: z**(-675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/18 and 4 + (-273)\/60 + 4.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 97337076 divided by -6.\nAnswer: -16222846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes after 3:52 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 13984, -2, -16, -1.\nAnswer: -16, -2, -1, 1, 13984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -8*g**3 - 2*g**2 - 7*g - 2. Let w(p) = -23*p**3 - 7*p**2 - 20*p - 7. Let n(o) = -7*b(o) + 2*w(o). What is the second derivative of n(u) wrt u?\nAnswer: 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b - 98 = 37. Suppose 3*l = 2*q - 6*q + 105, -114 = -5*q + 2*l. Calculate the remainder when q is divided by (-2)\/(-5) + 129\/b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s + 3*p = 3*s - 32, 2*p + 12 = -2*s. Let o be 8\/(-14)*1\/s. Is 1 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -2491\/2, 14, -4 in increasing order.\nAnswer: -2491\/2, -4, 0.1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 9 + -4 + 1 + -4 + 1. Suppose -t*k = -w - 396, -5*k + 2*k = -4*w - 396. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 80, 181, 302, 443, 604, 785, 986?\n\"Answer: 10*c**2 + 71*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -49800.68 rounded to the nearest one thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 3279\/2*b**2 - 479\/2*b**4 + 1695\/2*b**3 - 780 - 229*b + 3\/2*b**5 = 0.\nAnswer: -1, 2\/3, 5, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 8*a + 1. Let y be k(-1). Let n be (4 - 5)*(y - 0). Suppose 540 = -n*b + 12*b. Is b a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -78*h + 11559 + 46629. Solve 0 = -h*f + 740*f + 42 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0284 and -3.\nAnswer: -0.0852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 - -1152263343?\nAnswer: 1152263350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -704\/15*x**2 + 1024\/15*x + 2\/15*x**5 - 512\/15 + 224\/15*x**3 - 34\/15*x**4 = 0. Calculate x.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28 + n**2 + 50*n + n**2 + 0*n**2 - n**2.\nAnswer: n**2 + 50*n + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the second derivative of -d**7\/28 + 3*d**6\/2 + 99*d**5\/10 + 17*d**4 + 439*d. Find x, given that v(x) = 0.\nAnswer: -2, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -31, -0.3, -44\/23, -1 in decreasing order.\nAnswer: -0.3, -1, -44\/23, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**2 - 15*a + 312.\nAnswer: -3*(a - 8)*(a + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of 0*j**2 + 5\/6*j**6 + 0*j + 0*j**5 + 0*j**4 - 11\/3*j**3 + 12. What is the third derivative of f(c) wrt c?\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -172.7 - -191.7. Which is the third biggest value?  (a) -0.4  (b) -8\/15  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/7 and -142.6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 233210*v + 31285*v + 4.\nAnswer: 264495*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + 2*n - 3*n)*(4*n**2 - 5*n**2 + 2*n**2) + 55 - 6*n**3 - 55 - 3*n**3 + n**3 + n**3 + (-391*n**3 - 420*n + 420*n)*(0 + 4 - 6).\nAnswer: 773*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 12713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30 and 20\/(-25)*(22\/(-4) - 2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.591984kg to grams.\nAnswer: 9591.984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 12:29 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = j + b, 3*j - 29 = -0*j + 4*b. Let y be (2\/j)\/(5\/(-3)). Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -646445?\nAnswer: -1292890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes after 2:34 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 - 10*f + 6. Let c be q(11). Let b be 5\/(-5)*c - 3. Let x be (-1)\/(41\/b + 2). Calculate the greatest common factor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.031 + -58?\nAnswer: -58.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 1 = p - 0, 3*p = 5*q - 1. Which is greater: 2\/27 or q?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -3713707948.4692 and 0.1.\nAnswer: -3713707948.3692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 5\/4  (b) -5  (c) 0.75972\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**2 - 7*m - 5. Suppose -a + 0*a = -7. Calculate w(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1018.66 from 43.70355.\nAnswer: 1062.36355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.26?  (a) -240.4  (b) 3  (c) -1  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7784028 and 0.1.\nAnswer: 778402.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -m - 0*m. Suppose 0 = k - 172 + m. Suppose 4*y + 32 = k. Solve -2*u + y = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -19\/3, -5\/2, -2\/5, -0.1 in decreasing order.\nAnswer: 9, -0.1, -2\/5, -5\/2, -19\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-4 - -5) + -18 - (-20 + -10).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 284 and 639.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l + 0*l + 2*l. Let s(w) = 3*w**2. Give s(x(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12 + 22. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 12 = -2*h + 3*r, -r = -3*h + 12. Let x be ((-10)\/5)\/((-2)\/h). What is the first derivative of -2 - x + y**2 + 2 wrt y?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*u**2 - 238008 + 6*u**2 + 238008 + 9*u**2.\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 - 13. Let o(u) = -1794355*u**2 - 30645*u**l - 3 + 1 + u. Let m be o(2). Round m to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -23, -42, -61, -80, -99?\n\"Answer: -19*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (335\/(-938)*(-48)\/20)\/((-1)\/(-42))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-615)\/1025)\/((-9)\/(-10))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -21\/5, -1, -2\/3, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12806*n*p**3 - 253*n*p**2 - 8*n*p wrt p.\nAnswer: -76836*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(121) - -2*sqrt(121))*-4 - sqrt(121))\/(sqrt(11) - sqrt(176)*-6) + -2 + -6*(sqrt(11) + 0) + 0.\nAnswer: -163*sqrt(11)\/25 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from {q: 2, v: 1, b: 1, d: 3, c: 1, m: 8}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1715)\/(-14))\/5*1\/(-7)*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1796225 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 5 - 1 - 2 - 9*o + 0. What are the prime factors of q(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -95 + 92. Let b be ((-2)\/(-3))\/((-1)\/f)*1. Solve -5*k - s + 15 = -b, k + 11 = -5*s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1788+0.4\nAnswer: 1788.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 3*m**3 + 1894*m**2 + 716*m + 53935. Determine d(-631).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -2\/55, -1, -0.08?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 - -17476129?\nAnswer: 17476165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {p: 3, w: 4, o: 10, e: 1}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 660433 (base 7) to base 3\nAnswer: 12212101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -28  (b) -5  (c) -1\/2  (d) 3011\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -205 + 21 = 2*r. Is r\/(-5) - 18\/45 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/12 + 4\/(-6). Let n = 1 + d. Let w be (-27)\/(-156) + 1\/(-4). Which is the second biggest value?  (a) n  (b) -3  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 137 = 346*i - 345*i - 10*x + 7, -5*i = -4*x - 52 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(-1)\/(-1)*(-2)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-10)*u*u*u\/u**(-10)*u*u*(u**(-4))**26 assuming u is positive.\nAnswer: u**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sum -240.8 and -1402.\nAnswer: -1642.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**4*i**(-1\/5)*(i*i**(3\/11)*i)\/(i\/(i**1\/i)) assuming i is positive.\nAnswer: i**(279\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1\/1940?\nAnswer: 1\/1940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 48 = -38, 2*l = -5*v + 31 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28145?\nAnswer: 5, 13, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132*m - 351 = -68*m - 91*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -150742 or -5878985\/39?\nAnswer: -5878985\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + (-75)\/(-18))\/((-47)\/(-4794))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/11)*s)**(2\/85) assuming s is positive.\nAnswer: s**(24\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/2 and -151\/66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3370800.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhhhhhhh. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6 - -27ba24?\nAnswer: 27ba2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*z**3 + 349*z**2 - 694*z?\nAnswer: 12*z + 698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 2*v + 3*v + 24, 0 = -4*l + 3*v + 21. Suppose -4*b + 12 = -4*o - 3*b, -2*o - 2*b - 16 = 0. Sort o, l, 5 in decreasing order.\nAnswer: 5, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5377 and 35663.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/((n*n*n**(-6)*n*n)\/n)*n*n**21*n*(n*n*n\/((n\/((n*(n**0*n)\/n)\/n))\/n))\/(n**20\/n) assuming n is positive.\nAnswer: n**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 AM and 4:56 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2035 - 1427286.586.\nAnswer: -1429321.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*q + 4*q = -175. Which is the fourth smallest value?  (a) 3\/4  (b) q  (c) 0  (d) 7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 4*v + 8)*(3*v - 4*v - v)*(0*v**3 + 0*v**3 + v**3).\nAnswer: -8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12 + 17. Solve 0*b - 3*b - m*g = 0, -2*b = -2*g - 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1400510 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 26 + (-72 + 107 - 37)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 3*j**2 - 167*j + 6512. Let z be m(47). Is 5290 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -7*l - 36 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 14\/28 + 7*(-1)\/6. Sort -2, 1, -53, u in increasing order.\nAnswer: -53, -2, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -10*d**3 - d**2 + d. Let h = 6 + -5. Let s be n(h). Let l = -10 - s. Let x(a) = -a + 1. Give x(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (52\/(-8))\/13*(-2058)\/(-49)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 39 + -28. Calculate the smallest common multiple of n and -1 + 7 + -2 - 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of 5*i**4\/4 + 7*i**2\/2 + 1. Find the second derivative of j(q) wrt q.\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**2 - 2*y. Let l(p) = -p**2 + 5*p + 1. Let a(m) = 2*l(m) + 5*q(m). List the prime factors of a(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -365508 divided by -52\nAnswer: 7029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1532 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 - 2. Let u = 6 + p. Let n(a) = -5*a + 2. What is the tens digit of n(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 869 is divided by 102?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.85 + -1.79. Let v = 1.1 + i. Let y = v + -0.160088. Round y to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 20764937 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g - 8*g - 11. Is 15 a factor of 892\/4 + 7 + g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10.2 + -10. Let f = 0.8 + j. Which is the closest to f?  (a) -0.4  (b) -5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2229 - 2213. Solve 2*f - 3*w + 25 = 0, -p = 4*f + w - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:47 AM and 11:30 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -23123 + 11?\nAnswer: -23112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -8006 (base 12) in base 9?\nAnswer: -20866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(264)*-1)\/sqrt(12) + sqrt(22))\/(-1*sqrt(396)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 + (-4)\/((-12)\/9). Solve -m + 1 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u = 3*a - 15, u = -0 - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 550 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rqjrjqqrq. Give prob of picking 2 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 189207909 and 35502.\nAnswer: 378415818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3550 (base 9) to base 15.\nAnswer: bac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 169 + -92. What is the least common multiple of 44 and h?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 29 and 101.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1544)\/30 + (-9 - 1729\/(-195)). Which is smaller: -52 or l?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -33?  (a) -4  (b) -185  (c) -3  (d) -5  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = c - 2*x, -6*c = 20*x - 17*x - 21 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 42 + 1422513?\nAnswer: 1422555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (24\/10*-2)\/((-44)\/2090). What is the greatest common divisor of n and 304?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 62 - 1*(0 + -1). What is the greatest common divisor of p and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 2*f**2 - 16*f - 12. Let j be y(12). Suppose -53*v = -52*v - j. What is the highest common factor of v and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + i = 37, -4*r + 10*i - 2*i = 272 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -124 = 4*w + 480*i - 476*i, -34*w + 0 = i + 64 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 24, 21, -6, -69, -180, -351, -594?\n\"Answer: -2*n**3 + 11*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-4)\/4)\/(0 + -1). Suppose 3*k - b = 14. Suppose -3*s = -5*f - 8, -s - 5*f + k + 11 = 0. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 2*k - 10 = 0, 3*j + 4*k + 9 - 25 = 0. Let s(l) be the third derivative of -11*l**2 - 1\/120*l**6 + 0*l**5 + 0*l**j + 0*l + 0 - 2*l**3. Give s(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**4*y)**22*(y**(-1\/5))**(-22) assuming y is positive.\nAnswer: y**(572\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6398 and 1429496?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 7 - 0 - (2639\/312 - 3 - -3). Suppose 0*l = l. Is l less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes after 1:46 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 25 - 33. Let w = -9 - y. List the prime factors of ((-21)\/5)\/(w\/5).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence en when two letters picked without replacement from {n: 5, e: 3, g: 8}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gaag when four letters picked without replacement from aaahgagag?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.15 in -2\/5, 7, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -8 and 11502.\nAnswer: 11494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.151 - -477.\nAnswer: 474.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*k**4 + 8 + 5 - 6 wrt k?\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 624.3116 kilometers to nanometers.\nAnswer: 624311600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -1 + 4 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes before 2:30 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2*7 + (-3831921)\/(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -75\/22?\nAnswer: -75\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.05 minus 85?\nAnswer: -86.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*((-16425)\/(-1295750))\/(3\/(-2)).\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2692000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -60 (base 16) to base 3.\nAnswer: -10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5860 and 1660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g - 1 - 1. Suppose -22 - g = -4*y. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 11*t**2 - 7*t**2 + 5 - t**2 + 2*t**2 - 2*t**2 + (-2*t + 5*t - 2*t)*(4*t - 3*t - 2*t) - 4*t**2 + 41*t**2 + 81*t**2.\nAnswer: 120*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 14.2582 to one dp.\nAnswer: 14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -2*r**4\/13 - 64*r**3\/13 - 334*r**2\/13 - 584*r\/13 - 24 = 0.\nAnswer: -26, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2582 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40316 is divided by 7762?\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from zhmkzzmszkikmzzimk.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 5) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 17737 + -17257. Calculate the least common multiple of v and 1600.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10737 is divided by 1843?\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/15)*l)**(-1\/27)\/(l\/l**(-3\/8))**26 assuming l is positive.\nAnswer: l**(-57983\/1620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2408519?\nAnswer: 353, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16802?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5, -27, -227, -715, -1611?\nAnswer: -3035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16 + -6. Suppose 2*q = -3*r + 5 + 7, 0 = 4*r - 2*q - 2. Suppose -u - 5 = 0, 0 = r*n - 0*u + 5*u - 75. Calculate the highest common divisor of a and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m + 1. Let k(w) = -2. Calculate -k(f) - 2*u(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -42 - -209\/5. Let f(w) = -w**2 + 11*w + 7. Let s be f(11). Suppose 5*u + s = 5*j + 17, 2*j + 1 = 5*u. Is y less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7\/2?  (a) -3  (b) 1\/5  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 7*m**3 - 2*m**2 + m. Let l(t) = t**2 + 3*t + 3. Let n be l(-2). Calculate h(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wan when three letters picked without replacement from {h: 2, a: 3, w: 2, n: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1108545 to the power of 1\/2, to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 527 a factor of 2048042683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of 0 + 0*n**2 - 2\/3*n**3 + 0*n**4 + 5\/6*n**6 + 30*n + 0*n**5. What is the second derivative of m(v) wrt v?\nAnswer: 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 2*r = 44, -r = -3*m - 4*r + 27. Let k(p) = -p**3 + 14*p**2 - 16*p + 5. Let b(l) = -l. Let j(z) = -3*b(z) + k(z). What is the units digit of j(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 432 = 3*s - 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: Expand 6*a**4 - 4*a**4 - 4*a**4 + 7*a**3 - 7*a**3 - 16*a**4 + (-2*a - a + 4*a)*(-3*a**2 + a**3 + 3*a**2 + (0 + 0 - a**2)*(-3*a + 0*a + 7*a)).\nAnswer: -21*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.07 + -0.77. Let v = -0.3 - n. Let g = -0.399 + v. Round g to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 14*y - 199. Determine h(15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*c - 21*c - 357 = 0 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 283787682.\nAnswer: 2, 3, 139, 227, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 158, 650, 1470, 2618, 4094, 5898?\nAnswer: 8030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3169545348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-70)\/(-18) + 781\/1278*(-4)\/(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 2. Let d = h - -3. Let n be ((-1)\/2)\/((-10)\/15). Put d, n, -2 in increasing order.\nAnswer: -2, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (7\/21)\/((-4)\/(-576))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2064.1 - 2085.1. Is f less than or equal to 1\/213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 212 divided by -4450\nAnswer: -106\/2225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 8 + 2*k)*(-1 + 0 - 5)*(-2 + 5 - 2) - 32*k + 592 - 592.\nAnswer: -44*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 2*r**2 - 10*r - 188. What is the lowest common multiple of 7882 and z(-8)?\nAnswer: 78820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -v**3 + 826902*v**2 - 170942556300*v + 341881805000 = 0.\nAnswer: 2, 413450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11708563?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-12)*(16\/(-12))\/1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1988\/(-3479))\/((-4)\/(-273)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.1 and 3902?\nAnswer: 4292.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6764*n**3 - 40524*n**2 + 5 wrt n?\nAnswer: 40584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*s**5 + 157*s**4 - 607*s**2 - 41712*s + 14 wrt s?\nAnswer: 40*s**3 + 1884*s**2 - 1214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of -m**6\/180 + m**5\/60 + 5*m**3\/6 + m. Let w(l) be the second derivative of f(l). Find the second derivative of w(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-784)\/(-588) - (-17)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -66*g - 17*g + 2*g**4 + 8 + 0 + 54*g - 32*g in the form q*g**4 + c*g + s + a*g**3 + w*g**2 and give c.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/x**(6\/11)))\/(x\/(x**40*x*x)) assuming x is positive.\nAnswer: x**(457\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (16 + -8 + -13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/12*3*30\/3675*42.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t - t - t)*(2*t**2 - 1 - 9*t - 6*t + 3).\nAnswer: 2*t**3 - 15*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 2, -1363\/2, 2\/7, -1, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*91\/130*2\/(16\/(-4)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -88.77 times 5?\nAnswer: -443.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - h = 8, -2*h + 2 = -2*s - 0*s. Suppose 0 = -3*q - 6, -s*q + q = -3*w + 274. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 127*c - 1934. Let h(u) = -53*u + 967. What is 7*h(o) + 3*m(o)?\nAnswer: 10*o + 967","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(63)\/sqrt(324) + 4 + (5 + (-1*sqrt(56))\/sqrt(8))**2.\nAnswer: -59*sqrt(7)\/6 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d\/d**(-4\/5))\/(d*d**(-8))*(d\/d**(9\/2))\/(d*d**(-9)))**(3\/8) assuming d is positive.\nAnswer: d**(429\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, -299, 1, 20\/17, 3.3?\nAnswer: -299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 159448 > 159444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 33*b**2 - 21*b + 12. Let d(q) = -32*q**2 + 16*q - 10. Let p(h) = -4*d(h) - 3*o(h). Calculate p(2).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 211 + 2436 = -626*n - 1109 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 28 - 19. Suppose -6 = -2*m + 4*k, -4*k = 2*m + 2 - 0. Let q = m + -3. Let f(n) = 8*n**2 + 4*n + 9. Let a(l) = 2*l**2 + l + 2. What is q*f(h) + y*a(h)?\nAnswer: 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 383 (base 13) to base 14.\nAnswer: 31c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16.1838 - 2.\nAnswer: 14.1838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9.522 - -0.4.\nAnswer: -9.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q - 63414 = -16030. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b + b - 3*b)*(0*b + b**3 + 0*b)*(1 - 3 + 1)*(-3 + 2 - 1).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -235 + 160. Let t = 4.5489 - 4.4489. What is the closest to -2\/7 in t, p, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 + 5*y**2 + 2*y + 4. Let r be k(5). Suppose -4*z + r = -2*z. Solve -4*j + 9 = -z*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m**2 - 11*m + 7. Let s(b) = b**2 - 5*b + 3. What is 4*j(d) - 9*s(d)?\nAnswer: -d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3\/2, 6\/55, -2, 1\/46, -16, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001644665172 to 7 decimal places.\nAnswer: -0.0000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 174*g - 1. Is u(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 14*v - 51 = 18*v, v + 21 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -62, -173, -294, -431, -590, -777, -998, -1259?\n\"Answer: -l**3 + l**2 - 107*l + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n + 2*n - 4*n**2 + 2*n**2 - 2 + 2 + 4*n - 4*n + n**2 + (n + 8*n + 0*n)*(0 + 0 + 2*n).\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the first derivative of -2*i**3\/33 + 68*i**2\/11 - 2312*i\/11 + 93. Let l(q) = 0. Calculate q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 15 and 44801385.\nAnswer: 44801385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 10275.85 centimeters?\nAnswer: 102758500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the first derivative of -o**4\/4 + 2*o**3 + 5*o**2\/2 - 14*o - 39. What is the remainder when 110 is divided by h(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -737*t + 36 = -746*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1235332 (base 6) to base 15\nAnswer: 14e1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5.93 + -6.187. Let r = -0.743 + v. Let b be (-4)\/3*3\/(-38). Which is greater: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 816 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*s + 326 + 124 = 0. Calculate the remainder when 494 is divided by s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**3 - q + 6. Let k be v(0). Let i = 13 - k. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -0.1  (b) -3\/8  (c) -3  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -281.35988 to 1 dp.\nAnswer: -281.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 109244 and 181486?\nAnswer: 1762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 16308.511 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12*y**6 - 84*y**4 - 8*y**3 - 3978*y**2 - 352*y?\nAnswer: -1440*y**3 - 2016*y - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-11 - -6)\/(-2 - (0 + -1)). Suppose -38 + 48 = z*f. Solve -12*b**3 - 8 + 16*b**2 + 12*b - 18*b**4 - f*b**4 + 24*b**2 - 12*b**2 = 0 for b.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8910 + 89187\/10. Let m = 68019\/10 + -6813. Find the common denominator of m and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 + 9*o - 4. Suppose 16*i + 5664 = 5792. Calculate p(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6085\/24 + -255. Calculate the common denominator of m and -43\/84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = h + 88. Let s = 73 - -81. Calculate the greatest common factor of h and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -1040509\nAnswer: 5202545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -3  (b) -1\/2  (c) -0.124502  (d) -1\/6  (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10483 - -679.\nAnswer: 11162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 7*i + 6 = 0. Let a(w) = w**2 - 5*w + 5. Let o be a(i). Is -5\/3 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(242)*5 + 1)**2.\nAnswer: -36306 - 660*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6731789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**2 - 3*i - 1. Let q be g(4). Suppose q*o + 27 = 66. Let w be 0 + (26*-2)\/(-2). What is the greatest common divisor of o and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**3 + 14*d**2 - 24*d + 9. Suppose -21*v + 20*v = 5*c - 61, -2*c - 4*v + 28 = 0. Let j be r(c). Which is smaller: 18 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 678670 to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -103*c**3 + 669*c**3 + 423*c**3 + 262*c**3 + (2*c - 1 + 1)*(1 - 1 + c**2) + 4*c**3 - 3*c**3 - 4*c**3 as l*c**2 + r*c + q*c**3 + z and give q.\nAnswer: 1250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 216611 + 16?\nAnswer: 216630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - x = -19, x - 3*x + 8 = y. Let p = 9 - y. Suppose 2*m = 4*b - p - 1, -4*b + 4 = 3*m. Which is smaller: b or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -225561 - -6?\nAnswer: -225555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*g = -0*g - 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (696\/(-72))\/((-10)\/(-24)*-4)?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 3 + 3)*(-1 + 3 - 5)*(2 - 2*w - 2)*(1 - 3 + 0).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 1386 and 2708 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 11708272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 4 = -4. Let n(a) = a**3 + 7*a**2 - 7*a + 8. Let p be n(-8). Let s = p - k. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12 - -333?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1271111*n**2 - 10*n + 13414496 wrt n.\nAnswer: -2542222*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05 take away -146?\nAnswer: 145.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 64 = 127. Let s = 47 - y. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4529\/(-3381)*51\/(-4). Let f = -5\/644 + t. Let z = f + -35\/2. Sort 2, z, -5, 3.\nAnswer: -5, z, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:29 AM and 8:57 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 40387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -218 - -219. Let s = -21 + 16.5. Let n = s - -0.5. What is the third smallest value in v, n, 4\/3, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1902.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3187391512.\nAnswer: 2, 19, 43, 79, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 69*q**2 - 11*q + 10. Let b(k) = 14*k**2 - 2*k + 2. Determine 11*b(z) - 2*u(z).\nAnswer: 16*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 654*c. Let i(f) be the second derivative of -f**4\/6 - 27*f + 23. Calculate a(i(z)).\nAnswer: -1308*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes before 11:26 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1, 28, 16, 13 in descending order.\nAnswer: 28, 16, 13, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of -11*t + 0 - 17\/2*t**2 - t**3. Differentiate z(a) wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.9?  (a) 161  (b) -2\/3  (c) -2  (d) -1\/2  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-27)\/36 - (-453705)\/60?\nAnswer: 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 176\/(-726)*3\/(-4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 2 + 1)*(3 + 0 - 2) + 3 - 5 + 3 + (3 - 2 - 4)*(0 + 1 + 0))*(-13*l + 0*l - l).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000191728 rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 58*p + 91. Let a(d) = d. What is a(l(z))?\nAnswer: 58*z + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*n = -46*n + 258. Is n a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 4*w - 376833 = -376835, -5*f = -5*w + 15 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.23998 + -0.24. Let q = 0.5 - 0.5. Let g = q - u. Round g to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8623?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1381, -1645, -1907, -2167, -2425?\nAnswer: -2681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2256\/40)\/((12\/(-10))\/(-3)). Let f be (-3 - (-48)\/15) + c\/20. Which is smaller: f or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.829498 + -7983.1135.\nAnswer: -7982.284002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 408820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:23 AM and 6:05 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 271590660 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 0.05  (c) -31\/5  (d) 110  (e) 155\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3.86 - 0.16. Let d = -4 + c. Let w be 3\/((-9)\/2) + 0. Put w, -3, d in ascending order.\nAnswer: -3, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 45\/13, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*s + 4*s**4 - 3*s**4 - 2*s**4 + 0*s**4 + 3*s**4 - 5*s**4 + (s**3 + 0*s**3 - 2*s**3)*(-4*s - s + 4*s).\nAnswer: -2*s**4 - 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1582*g**2 - 34*g**2 - 1290*g**2.\nAnswer: -2906*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3906856 divided by 102812?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 14\/(-21) + (-4)\/3. Let p(k) = 2*k**2 + 15*k - 11. Let i be p(-8). Let t(u) = u + 2. Let n(o) = -2*o - 3. Determine i*t(z) + l*n(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -1\/6*v**3 + 2\/3 - 1\/2*v**2 + 0*v = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 3*f = 8. Suppose -f*x - 2400 = -3*x. Let l be x\/(2*(-12)\/136000). What is l rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) -1  (c) -1\/6  (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -936 + 936 + 68*l in the form f*l + g and give f.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 4*k + 165936, -122702 - 43235 = -4*q + 3*k. Is -6 + 1\/(5\/q) + -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -2*g**3 - 7*g**2 + 1. Let y(u) be the first derivative of -u**4\/4 - u**3 + u - 4. Let z(f) = 3*c(f) - 7*y(f). What is the derivative of z(l) wrt l?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**2 + 19*n + 6. Let c be l(19). Suppose 2*b - 3*f - 73 = -c*f, -49 = -b + f. Find the second derivative of -b*d - 14*d**3 - 5*d**3 - d**3 wrt d.\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 4*p + 19 = 0, -2*p + 5*p + 18 = 2*u. Suppose -4*y + 5*m + 68 = 0, u*m - 2 = -y + 32. What is the highest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49.87373 kilograms in micrograms?\nAnswer: 49873730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -221022012302 (base 4) to base 9.\nAnswer: -22264118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of -p**4\/12 - 5*p**3\/3 + 51*p**2\/2 - 26*p. Let o be u(4). Which is the second smallest value?  (a) 3  (b) 0.3  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of j**4\/12 + j**3\/6 + j**2 + 4*j. Let r be i(3). Let t = 29\/2 - r. Is 2\/11 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28)\/490*(0 - -65)?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -537\/22 - -21. Find the common denominator of -57\/20 and v.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.4 - -0.2. Let s be 2*(0 - 1\/8). Put k, s, -1 in increasing order.\nAnswer: -1, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 4*o + 6 = -26, 0 = 5*w + 4*o + 44. Let j = w + 27. Calculate the remainder when 42 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 4*l = -534, o - 2*o + l = -263. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.06 + 3.94. Let d = -117 - -108. Put d, 3, i in decreasing order.\nAnswer: i, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 33 and 0.1.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -7*u - 5. Let i(z) = -3*z - 1. Give 12*i(r) - 3*p(r).\nAnswer: -15*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*x**4 + 7095*x**3 - 21255*x**2 + 21245*x - 7080.\nAnswer: -5*(x - 1416)*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1905*l + 274252 = -857*l - 219*l for l.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 34975.2 + -34976. Which is bigger: 72\/7 or x?\nAnswer: 72\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 + -8. Let i = p - -2.2. Let n be (4\/2)\/((-4)\/10). Which is the biggest value?  (a) i  (b) -2\/7  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -110, -133, -158, -185, -214, -245, -278?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -416, -1164, -2392, -4088, -6240, -8836, -11864, -15312?\n\"Answer: 2*c**3 - 252*c**2 - 6*c - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**2 - 5*j + 2. Let d be m(-7). Let n = d + 25. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 50.5 + -50.54. What is the second biggest value in -0.01, n, 5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7285 and 3134665?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(126) - (-3*sqrt(126) - sqrt(126))) - sqrt(126))\/(sqrt(567) - sqrt(567)*-2) + -4.\nAnswer: -4 - 16*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -187 + 467. Let m = 367 - z. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1909 + -1472. List the prime factors of y.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*d + 12 = -27*f + 60*d, -3*f + 5*d - 18 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 minus 22.557111323041?\nAnswer: -22.657111323041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 - w**2 - 4*w + 2. Let a be f(3). What is the second smallest value in 3\/5, a, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*b = 37*b + 2. Suppose b = -p + 15. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yb when two letters picked without replacement from {y: 1, b: 2, g: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18 + 33. What are the prime factors of r?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -7*s**2 + 3*s + 1. Calculate p(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n + 0*n + n**3)*(26*n - 29*n + 24*n) + (-4*n + 2*n + 0*n)*(n**3 - 4*n**3 + 2*n**3) + 6*n**4 - 3*n**4 - n**4 - 3*n**4 + 5*n**4 - n**4.\nAnswer: 26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 45 = 3*n. Let p = -1415 - -1549. Calculate the remainder when p is divided by n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of 3*n**2 + 28*n - 141. Is d(10) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 111\/166 - 833\/1494. What is the second smallest value in -0.9, 11, -1, h, 2\/3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -8*j + 20, -26*j + 22*j = -5*q + 4. Solve s - 8 = -2*n, -4*n + q*s = -0*s - 28 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.86126794 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:12 AM and 11:22 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n + 14 - 5 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 423.76711 rounded to the nearest 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18\/60*(-135)\/(-9)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8565896 divided by 16862?\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -19851600 rounded to the nearest 100000?\nAnswer: -19900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -49, -4, -14 in decreasing order.\nAnswer: -4, -14, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5122256990.25006298 + -5122256938. Let j = 52.25 - i. What is j rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 10 = -12*u. Is u*(28\/6)\/(6\/(-4311)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v + 20. Let h be t(-18). Solve 2 = h*g - 3*a + a, -3 = -a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 527921, 527918, 527917, 527918, 527921?\n\"Answer: m**2 - 6*m + 527926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times -5.03?\nAnswer: -15.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 59\/5 of a millennium in years?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 3*m = -11, -10*j - 9 = -6*j + m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5967000 by -596700.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzzrz. Give prob of sequence zzz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2757271 is divided by 390?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 - 2*z**2 + 2*z + 12. What is p(-6)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of -o**3\/6 + 2*o. Let r(x) = 2*x + 4*x - 5*x. Determine f(r(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1110 + -9. Calculate the remainder when w is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x + 7 = -17. Suppose 0*m + 4*d = x*m - 40, -5*m + 2*d = -38. Suppose -5*g + 1683 = m*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -75965 divided by -5\nAnswer: 15193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 582 + -996. Let c = -409 - h. Solve -3*u - 6 = 3*w, 0 = -c*w + 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 41, 98, 191, 320?\n\"Answer: 18*w**2 + 3*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189042 is divided by 63003.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 52, 1.\nAnswer: -3, -2, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 + 2 + -7 - 0. Suppose -157*f + 150*f - 14 = 0. Let k = f - y. Is 3 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84 is divided by 54.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*-0.252\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.513 - 1.5207. Let n = i + 3.0077. Let r be 1\/(-3)*(-12)\/(-22). Which is the closest to 3?  (a) 2\/11  (b) r  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.09 in 2, -6, 0.6, -1\/2, -13?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 22 + -19. Suppose 20 = 5*c, -r*u = -8*u - 2*c + 23. Find f such that f**2 + 3*f**4 + f**u - f + 0*f**4 - f**4 - 3*f**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in twenty-seven quarters of a microgram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.07*-54787\nAnswer: -3835.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + -2. Suppose 2*w - 6 = r, -3*q + 1 + 14 = 2*w. Suppose -q*f + 2 = -4. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.456246ml in litres?\nAnswer: 0.004456246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 - (-4 - -1) - 1102\/11. Let f = i + 99. Which is the smallest value?  (a) f  (b) 5  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -18?  (a) -3  (b) -9  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z\/(z\/(z*((z\/(z\/z**(-9\/2))*z)\/z*z*z)\/z)))\/(z*z**(-8)*z))\/(z**0*z)**(-48) assuming z is positive.\nAnswer: z**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25917, 50790, 75663, 100536?\nAnswer: 125409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4\/9  (b) 0.3  (c) 6  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(-1))**(-45))**(-10))**(5\/11) assuming p is positive.\nAnswer: p**(-2250\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -7745*r - 31043. Calculate s(-4).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 - 28*y**2 - 16*y - 442. Let p be a(-28). Solve -p*d = 1038 - 1044 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 273b0a - -1?\nAnswer: 273b0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 231249600 to the nearest one million.\nAnswer: 231000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19903 is divided by 38?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - h - 8 = 6*q, -2*q + 58 = 5*h. Let j(i) = -15*i + 190. Determine j(q).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:03 AM and 10:58 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6\/13 - -11\/52. Let m be (11\/(-11))\/((-48)\/3). Is m at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 27 + -4745095?\nAnswer: -474506a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/(-6) - 6\/(-9). Let g be 3\/(-6) + (-15)\/(-12). Sort g, -0.4, k in descending order.\nAnswer: g, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 757 divide 28971433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 4*x**2 - 1. Let p(i) = i**2 + i - 1. Let h be p(0). Let b be j(h). Let w be 3\/(-2)*(-16)\/6. Solve 0 = b*d - 2*m + w, 5*m = 4*d - 2*d + 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -4989, -4984, -4967, -4932, -4873, -4784, -4659?\n\"Answer: k**3 - 2*k - 4988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - 110000111000111?\nAnswer: -110000111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11)*-3 + -5 - (sqrt(1584) + -3 - sqrt(1584))**2) + -4.\nAnswer: -18 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1175\/141*63\/105.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2*(15\/60 - (1236759\/(-12) + 2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -j - 26, -v + 2*j + 10 = 2*v. Let y(t) = -8*t - 7. Let w(c) be the third derivative of 2*c**2 - c**3 - 7\/24*c**4 + 0*c + 0. Give v*w(m) - 5*y(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.688 + 0.118. Let i = 0.526 + g. Let r = 0.086 - i. Which is the second smallest value?  (a) r  (b) -3  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tjjjjt. Give prob of picking 1 t and 3 j.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the second derivative of -m**4\/6 + m. Let v(n) be the third derivative of n**5\/20 + 141*n**2. Determine v(c(w)).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 5*a + 20 = 0, -1491*b - 4*a - 16 = -1486*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 17448 divided by 6?\nAnswer: 2908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f**2 + 4*f**2 - 5*f**2 + (1 + 0 + 0)*(1 - 1 + f**2) - 2*f**2 + 6*f**2 - 2*f**2)*(-6 + 6 - 2*f**2) + 21*f**4 - 29*f**4 + 0*f**4.\nAnswer: -10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times -103.793?\nAnswer: -10.3793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -44*q**4 - 19*q**2 + 6520*q?\nAnswer: -528*q**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**2\/2 - 6335715*o + 13380428187075\/2.\nAnswer: 3*(o - 2111905)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1113 = 7*m + 21. Let x = -147 + m. Solve -3*i + 3*t = -18, 2*t + 6 + x = 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 + -1 - (5 - 2). Let v = 4 + y. Let j be (0 + -1)*(-2 + 1). Is v bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 250377499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, e: 4, g: 3, b: 1, r: 2}. Give prob of sequence ggrr.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -250 divided by 2893837.\nAnswer: -250\/2893837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 373 = -7*q + 7226. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10376, 10387, 10396, 10403?\nAnswer: 10408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (69 + 189 - 499)*(0 + 2*b + 0 + (3 - 2 + 0)*(-4*b + 3*b + 0*b)) as i + u*b and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1229951711951 plus 1.34?\nAnswer: 1229951711952.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/13  (b) -5  (c) 120.9  (d) 0.2  (e) 2\/15  (f) 21339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 218 a factor of 175272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.583 - 0.073. Let r = 5728.60958 + -5728.1. Let g = k - r. What is g rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes after 11:21 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 + (15 - 16) + 0 + 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-one fifths of a century in years?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -12 + -11 + 21.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 30*r + 272 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -46, 90845 in increasing order.\nAnswer: -46, 1, 90845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-2*115\/15)\/(4\/(-6)) + 4 and (1 - 8)*(0 + -3).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 52398 and 136655262?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -43, -5, -4, 2, 290, 1.\nAnswer: -43, -5, -4, 1, 2, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3862 + 8400. List the prime factors of h.\nAnswer: 2, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14 by -721135.\nAnswer: -14\/721135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -0*a - 5*a + 39, 26 = 3*a - 5*w. Sort a, -2, 0.\nAnswer: -2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (80\/100)\/((-6)\/15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/14, -4\/7, -9 in decreasing order.\nAnswer: 1\/14, -4\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z + 9. Let s(q) = -624*q - 19. What is 2*o(b) + s(b)?\nAnswer: -622*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 162 = 2. Let i(y) = y**2 + 5*y - 3. Let z be i(-6). Suppose u = z*b - 26. Is b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 22.943676 months?\nAnswer: 0.01911973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:20 PM and 7:51 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 232084, 928383, 2088896, 3713623, 5802564, 8355719?\nAnswer: 11373088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 4 = -2*c, 5*c - t + 11 = 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**2 + 23*w + 126. What is u(30)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -290 - -255.9. Round t to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(-4 + 2 - -3). Let z(q) = q**2 - 10*q. Let f be z(10). Suppose 5*v = 5*g + 20 + 25, 5*v - 2*g - 30 = f. What is the highest common factor of o and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**3 + 4089*p**2 - 12294*p.\nAnswer: 3*p*(p - 3)*(p + 1366)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*j - 21806 + 21806.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and -277481.63.\nAnswer: 277481.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 3 w when four letters picked without replacement from wxwwwwwwxwwwwwxwwxww?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 2*u + 10. Let f = 2 + -9. Let z be l(f). Let m(c) = c**3 + 5*c**2 + 4*c + 6. Give m(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22212 (base 4) to base 5\nAnswer: -10203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -150 - -254. Let i = z - 68. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-19)\/(494\/(-4)))\/((-69)\/138)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 151 (base 13) to base 5\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-2\/13)\/x*x)\/x)\/((x\/x**(-1))\/x)*x**(-3\/4)*x\/x**(-2)*(((x*x**7)\/x*x*x)\/(x*x**4\/x))**(-43) assuming x is positive.\nAnswer: x**(-11175\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -960918 not equal to -960885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 176 + 279 = 0. Let t(o) = -13*o - 84. Let f be t(-7). What is the highest common factor of a and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 126 divide 12659268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.25 - 4850388.\nAnswer: -4850387.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 6}. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(1\/5)*b*b)\/b**(2\/19))\/(b\/b**(-2\/5))**(-15))\/(b*b**(1\/2)*b**(-2\/11))**45 assuming b is positive.\nAnswer: b**(-75707\/2090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/7, 1\/5, 15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1815369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20 + 57. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-4)\/55)\/(8\/20). Let m = -347\/6 + 58. What is the closest to 0.1 in d, -1\/9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1501496*y**5 - 14*y**4 + 3027957*y**2 + 25.\nAnswer: 90089760*y**2 - 336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-22)\/(-5) + (-9)\/(-15). Suppose -3*h - u + 20 = 0, h - m*u = -h - 15. Suppose -2*y - 63 = -5*c - 21, 3*y - 37 = -h*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -2*v**4\/5 + 18798*v**3\/5 - 41353454*v**2\/5 - 13424999406*v\/5 - 18388444816 = 0.\nAnswer: -280, -7, 4843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 231113 + 5007 = 0. What is f rounded to the nearest 1000?\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that b**2\/2 + 462209*b + 213637159681\/2 = 0.\nAnswer: -462209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.01  (b) -2  (c) -968\/7  (d) -0.1  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -135 = -a + 133. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1609065*24\nAnswer: 38617560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1225 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 3 = -3*x + 9, 5*b - 14 = -3*x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, k: 3, h: 1, x: 3, d: 4, a: 1}. What is prob of sequence ha?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:41 PM and 5:26 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24130 and 1056305.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4 + 22881*s**3 - 509*s + 4130*s**4 - 22881*s**3 wrt s.\nAnswer: 49560*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28607815 to the power of 1\/3, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 8*c**2 + 13*c - 35. List the prime factors of b(16).\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 574 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16762?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -2 - 6 - 8*z + 52*z**2 + 5. Is i(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, 4, -3, -14, -29, -48?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 86 - (-2108)\/(65 - 99).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -66 - -331\/5. Let s = -4.896 - -8.896. What is the nearest to 0 in s, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -53 - -65. Let n = -5 - -9. Solve g = -u + n, g + 2*g = 5*u - h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 4987056?\nAnswer: -5\/4987056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 + 2 + 1*4. Suppose 0 = 328*g - 333*g + 10. Suppose -2*r + 7 = -5*u, 4 = 9*r - 8*r - g*u. Put b, -3, r in descending order.\nAnswer: r, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {r: 3, c: 4, b: 2, h: 1, x: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (2\/4 + 2)*10\/(-5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**2\/((n\/(n**4*n))\/n))**(-10) assuming n is positive.\nAnswer: n**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 6 = -6*r, -5*k - 720 + 685 = -5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**5\/3 - 2*d**4\/3 - 4*d**3\/3 + 2*d**2\/3 + d.\nAnswer: d*(d - 3)*(d - 1)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-6 - -13)*2\/16 and 1\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 4*s - 402 = 2*g, -90 = g - 4*s. Let y = g - -84. Let r be (7 - 1) + (-2 - -4). Solve 0 = -y*d + 2*d - r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the third derivative of -3*l**4\/8 + 3*l**2. Let c(h) = -2*h. Determine c(w(d)).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 28375200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21268 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.02736*-29.24.\nAnswer: 0.8000064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w + 3*w - 100 = 0. Suppose 2 - w = -4*v. Is -8 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 - (-6 - -2 - -2). Let i(k) = -k**3 + k - 1. Let w(u) = 5*u**3 - 3*u + 3. Determine f*w(d) - 3*i(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17801447.\nAnswer: 29, 61, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13*m**4 + 11*m**3 - 91537*m**2 + 2469*m - 8555.\nAnswer: -156*m**2 + 66*m - 183074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 300 divided by 6\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17656, 35334, 53034, 70756, 88500?\nAnswer: 106266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t + 28. Give m(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1504287203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*o**2 + 6*o**2 + 2*o**3 - 5*o**4 - 8*o**2 - 2 + 3*o**4 in the form l*o**3 + h*o**2 + z*o + w*o**4 + x and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c - 6. Let f(d) = 23*d + 1. Let y be f(1). Calculate the smallest common multiple of u(-8) and (8\/2)\/(-2) + y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2145978 is divided by 1072977.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 5*(sqrt(19) + -3)**2.\nAnswer: -30*sqrt(19) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 44019 and 589986.\nAnswer: 39529062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 35 + -62. Let z = y - -27. Let l be (-2)\/2 - (-6)\/8. What is the second biggest value in l, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 5, 117, -3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -0.5, 1563, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -3*c - 3, -o + 6 = -3*o. Suppose -c*y - 1 = -4*y. Let l(g) = -4*g + 45. What is the least common multiple of y and l(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 13*a + 10 = -11*a, -2*y + 13 = 5*a. Let i(g) = 73*g - 3. Let r be i(3). Let m = r + y. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -298 + 42?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -4*g**3 + 324438*g**2 - 250467380*g - 125314800 = 0.\nAnswer: -1\/2, 780, 80330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -77474399*b**2 - 6759902*b + 1.\nAnswer: -154948798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 + 2.34592\nAnswer: 2.14592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 7.487175ug?\nAnswer: 7487.175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the first derivative of -1\/3*j**6 - j**2 + 8\/3*j**3 - 3*j**4 + 0*j - 1 + 8\/5*j**5. Find k such that u(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**4\/9 - 4*t**3\/3 + 2*t**2 - 8*t\/9.\nAnswer: 2*t*(t - 4)*(t - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -4*m - 312, -2*m - 2*m - 238 = -3*u. Is 42 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2347 in 31, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 699.8812 grams?\nAnswer: 699881200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r**2 - 1698*r - 240267 = 0. Calculate r.\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 13*a**2 + 2*a. Let q(f) = -457*f. Calculate q(c(y)).\nAnswer: -5941*y**2 - 914*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 8:30 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 2 + 6 = 0. Is 62*(1\/v + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -787 (base 14) in base 4?\nAnswer: -113103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 228 = -2*q. Suppose 10*y - 9*y - q = 0. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -90*d - 2681. Calculate k(-30).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 5*d**3 - d**2 - d + 1. What is m(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-3)\/(-10))\/(6\/45)*8. Put 8, c, 0, 4 in descending order.\nAnswer: c, 8, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3735.\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4*3\/(-4) - 0. Factor 1512*b**2 + x*b**3 - 5*b**3 - 1510*b**2.\nAnswer: -2*b**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1122197 is divided by 124?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 3\/25?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 - 4. Suppose 10 = p*w + 2*k, 6*w + k = w + 15. Suppose -5*g + 2*c + 7 + 21 = 0, -4*g = -w*c - 32. Solve 2*a + g = -4*x, 5*a + 15 - 38 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21143 = -h + 160*w - 155*w, 21140 = h - 4*w. Does 38 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -129 + 130. Which is the smallest value?  (a) 2  (b) -3  (c) 0.1  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.418509 meters in nanometers?\nAnswer: 2418509000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 25 + -1b52c?\nAnswer: -1b507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the third derivative of b**5\/12 - 1580*b**4\/3 - 8331*b**2. Factor h(u).\nAnswer: 5*u*(u - 2528)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7)\/(9\/6*(-3)\/9). Let a(s) = l - s + 20 - 34. Let p(x) = 33*x. What is p(a(n))?\nAnswer: -33*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100216*i**2 - 100193*i**2 + 25*i + 200424*i**2 - 25*i.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 55 and 284779?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6020)\/(-8) + (-4)\/(-8). Let i be a\/21 + (-3)\/(-21). Suppose i = 2*c + n - 6*n, 2*c - 48 = 2*n. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 + (-1)\/(-5))*20\/(-56).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6833 divide 559774285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0977 - 0.4.\nAnswer: -0.3023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -42, -72, -92, -102, -102?\n\"Answer: 5*y**2 - 45*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - -1. Suppose -5*x + 4*d = -5 + 17, -5*x + d - 3 = 0. Suppose 5*w + 7 + 8 = 0, x = f + w. Solve -v = a - f*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5339\/2241 - 64\/27. Which is bigger: 9 or w?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93173029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 23*n. Let j(r) = -4 - 11*r + 4. Suppose 5*f + 28 = -y - 29, f - 27 = y. Let c be y\/(-28) - 34\/(-7). Determine c*k(t) + 13*j(t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 529 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*q - 4*o + 10, 179*q - 174*q - 13 = -4*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/(-14) - (-76)\/(-266).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*l + 43*l = 144. Suppose 347*m - 343*m = l. Solve -b + m = 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/12*1\/((-2)\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (56826\/(-170) + 1)*(-40)\/(-16). Let w = a + 818843\/986. Let c = w + 5489\/1160. Find the common denominator of c and -121\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**3 + 1. Let a(h) = -5*h**3 - 25*h**2 + 70*h + 1. Let b(q) = a(q) - 2*g(q). Find the second derivative of b(d) wrt d.\nAnswer: -18*d - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - -2) + -4 + -19. Let f be -1*2\/(8\/d). Calculate the highest common factor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 317568 and 257197.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of o*z**6 + o*z**3 + 122*o*z**2 + 28*o*z + 282*z**4 wrt z?\nAnswer: 120*o*z**3 + 6*o + 6768*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 101 divide 8282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 380 = 83*x - 7*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.2 + 0.1. Let x = -4.1 - -4. Let m = 0.9 - x. Which is the nearest to m?  (a) -4\/5  (b) 1\/5  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 (base 8) in base 15?\nAnswer: dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 7993*r + 25592. Determine h(-3).\nAnswer: 1613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 3*y = 0. Suppose y = -7*p + 2*p. Suppose 0 = 4*j + 3*r, p*j - 4 = 4*j + 4*r. Solve 7 = -a + j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 2*r + 14, m = 3*m - r - 9. Let n(z) = -6*z**m + 0*z**2 + 2*z**2 - 10*z**2. Let i(o) = 2*o**2. Calculate n(i(a)).\nAnswer: -56*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-1 - -3) - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 85 - 52. Let v be ((-1)\/(-14))\/(g\/110). Are 0 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4466365 (base 8) to base 14.\nAnswer: 2360cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -5\/6, -1.\nAnswer: -11, -1, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 773*g**5 + g**4 - 1546*g**2 wrt g?\nAnswer: 46380*g**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13591?\nAnswer: 13591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, 160 in ascending order.\nAnswer: 2, 5, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**2*f)\/f*f*f**(-4\/7)*f**(-8)*f**(-6))**(-2\/45) assuming f is positive.\nAnswer: f**(18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b*b*b\/b**(-4))*b**0)**(-24) assuming b is positive.\nAnswer: b**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (12\/(-10))\/((-36)\/90). Let m be d\/(-2)*(-8)\/3. Suppose 3*z + 2 = 26. Solve 3*t = v - 3 + 12, -m*v + z = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (25\/(325\/(-13)))\/((11\/(-42))\/11)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n = -f + 2, -19*n - 3*f - 2 = -14*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**3 + 25*o**2 + 66*o + 8. Calculate the least common multiple of m(-22) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r = -2*r - 55. Calculate the remainder when 52 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4710 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r**(-1\/4)*r))\/r**(4\/7)*r**20*r**(1\/6)*r assuming r is positive.\nAnswer: r**(1751\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in 0.3, -43, 0.04, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*i + i + i)*(i**2 + 2*i**2 + i**2)*(-12 + 8 + 12*i + 1)*(0 + 0 + 2) in the form x*i**2 + s*i + o*i**4 + f + h*i**3 and give o.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -4*w**5 + 28*w**4 - 28*w**3 + 4*w**2 + 16*w - 16. Let h(i) = -i**5 + 9*i**4 - 9*i**3 + i**2 + 5*i - 5. Let d(y) = -16*h(y) + 5*k(y). Factor d(g).\nAnswer: -4*g**2*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -215214 (base 6) in base 7?\nAnswer: -103336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, g: 3, r: 3, c: 1, p: 1, h: 1}. What is prob of sequence rgcr?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggdooggggmgd. What is prob of sequence mo?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/7, 301, 19?\nAnswer: 301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 130692792 and 29.\nAnswer: 130692792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.6008881 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -54287.34 plus 0.19?\nAnswer: -54287.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1562692.\nAnswer: 2, 390673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j**3 - 2*j**3 + 0*j**3 + (1 + 1 + 0)*(-4*j + 4*j + 5*j**3).\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 1140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 64*n + 69. Let t be p(-1). Solve t*g - 3*g = m - 12, 0 = 2*g + 3*m + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*o - 4*n + 41, 3*o = 2*n + 21. Suppose -5*m + 20 = 0, -4*c - 4*m - o = 3. Is c greater than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2, -10, -18, -26?\n\"Answer: -8*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*o**2 + 2*o**2 - 23*o**2 - 3*o**2 - 30*o**2.\nAnswer: -64*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -18\/439693175 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3646*n + 720*n = 113516 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*c - 62 = 22. Suppose 12*v - 435 = c*v. Differentiate 16*m**3 - 3 + 87*m - v*m with respect to m.\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8171 + -7802. Which is smaller: w or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -20458, -40317, -60188, -80077, -99990?\n\"Answer: -t**3 - 19852*t - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1dc2 (base 15) to base 6.\nAnswer: -50002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1*(1\/5)\/((-354)\/708)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2. Let k(v) = 9*v + 16. What is k(d(s))?\nAnswer: -9*s**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 118*g - 99*g - 285 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, -14, -13, 3, 69 in increasing order.\nAnswer: -14, -13, 0, 3, 5, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 151 + 467*t + 2316*t + 450*t.\nAnswer: 3233*t + 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the second derivative of c**5\/20 - 5*c**4\/6 + c**3\/6 - c**2\/2 - c. Let h be k(10). Solve -5*m - r = -8 - h, -3*r = 2*m + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(32) - (sqrt(32) + 1)) + (-2*sqrt(200))**2.\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 2*n = n - 24361, 4*n = 3*v - 24364. What are the prime factors of v?\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 117\/(-27) + 4 + -1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 132710585 and 63784?\nAnswer: 7973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of -u**6\/180 + u**3\/3 - 3. Let n(w) be the third derivative of i(w). Let t(z) = z**2. Calculate n(t(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.3 - 2.3. Let r(h) = h**3 + 3*h**2 - 4*h + 1. Let x be r(-4). Which is the second biggest value?  (a) t  (b) x  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nknppnkkpkkkkkkkkp. Give prob of sequence nnkn.\nAnswer: 11\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qaaakahkajqa. Give prob of picking 1 j and 3 a.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 9, x: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 536 + -506 - (8 - ((-1 - -2) + 0))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (44 + -69 - (-6 + -14)) + -29.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 4, u: 1, v: 3, q: 1, r: 3, i: 3}. What is prob of picking 1 q, 2 r, and 1 i?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 2*y**2 + y + 1. Let x be (-38)\/5 + 2\/(-5). Let d = x - -11. Let b = -5 + d. Calculate u(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m = -0*v + 2*v, -m + 2*v = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 246 + -158. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(1\/2)\/u**(-2))**41)**(1\/31) assuming u is positive.\nAnswer: u**(205\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 187107659 to the power of 1\/3, to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = i - 2, -4*i + 2 = -4*w + 6. Does 2 divide (5\/4)\/(i\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1006 at least -1006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10 in 453, 4, 24, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -9*g - 48. Let r = 82 - 89. Calculate the remainder when n(r) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*v = -125, 3677*u - 3*v - 15 = 3675*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -111 - -100?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 4*s - 3. Let g = s - -7. Suppose 0*t = 4*t - g. Solve -2*b - 4 = 2*v + b, t*v - 16 = 2*b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 71*a + 85. Let c(i) = 14*i + 17. Let w(d) = 11*c(d) - 2*x(d). Is w(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*d\/(d**(-27)*d))**(6\/7)*d*d*d**37*d*d**(-9\/10))**14 assuming d is positive.\nAnswer: d**(4477\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -44, 18, 11 in increasing order.\nAnswer: -44, 11, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -3. Let z(b) = -1. Let j(x) = -s(x) + 2*z(x). Let n(w) = w**3 + w**2 + 3. Let t be 8\/2*(154\/(-44) + 3). Give t*n(m) + 9*j(m).\nAnswer: -2*m**3 - 2*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 + 8*p**2 - p - 3. Let c(x) = -37 + 1 - 35*x + 31*x. Let f be c(-7). Give j(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 276a (base 15) to base 8\nAnswer: 20351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a**4 - 116*a**3 - 202*a**2 + 1256*a + 1344 = 0.\nAnswer: -56, -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -2 + 4 + 4*j + j + 5. Let y be n(-5). Let k be (-16)\/(-12)*y\/(-4). Calculate the highest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -0.5, 4\/7, -2\/53 in descending order.\nAnswer: 4\/7, -2\/53, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -16*c - 7. Give v(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 0*w = 3*w - 116, -5*x + 3*w + 172 = 0. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -2*g**3 - 2*g**2 - 10*g - 56. What is the tens digit of x(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 52 - 30 - 14*k + 14*k**3 - 22 wrt k.\nAnswer: 84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 655618 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -18*m + 95. Let x(u) = 2*u. Let r(a) = -5*x(a) - y(a). Calculate the remainder when 142 is divided by r(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8674739.\nAnswer: 41, 173, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-6)*(4 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -498529*z**4 + 973981*z wrt z.\nAnswer: -5982348*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29 - 40. Let t = q + 14. What is the nearest to 2 in t, -3, 3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*u + 2*f - 33 = -3*f, 2*u - 27 = -5*f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1203303 + 300831 + 300822 + 300826 + 300824 - 201*f - f**2 + 72*f.\nAnswer: -f**2 - 129*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -210229967908 + 147.\nAnswer: -210229967761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8150 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -476025, -952051, -1428077, -1904103?\n\"Answer: -476026*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 1)*(12*w - w - w) + 52 - 3*w - 52.\nAnswer: -23*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -332\/7 smaller than -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ep when two letters picked without replacement from eppepp?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 426 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 = -45439 + 107129. Round a to the nearest one thousand.\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-2))\/(-3)*(-104)\/182.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 647 at most 647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.9328052 rounded to 2 decimal places?\nAnswer: 8.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 5*p**3 + 2*p**2 + p. Let b(i) = 6*i - 167. Let f be b(40). Let q be ((-6)\/(-9))\/(3\/(-333)). Let z = q + f. What is h(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -i + 3. Let j = 0.7 - 0.9. What is the second smallest value in j, 2\/3, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 3*i**2. Suppose 25 = -6*u + 79. Let r(f) = -u*f + 13*f - 8*f. Calculate l(r(y)).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 181 = 70*v + 181. Let z(j) be the second derivative of 13*j - 2\/23*j**2 + v - 1\/69*j**3 + 1\/138*j**4. Factor z(m).\nAnswer: 2*(m - 2)*(m + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3970037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 144 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes after 9:37 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 2*y**3 + 4*y**2 - 10*y - 12 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -30, -11, 17273, 4 in decreasing order.\nAnswer: 17273, 4, -11, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a centimeter in micrometers?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 106\/(-10) + (-10)\/25. Let g = 60 + r. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 + 5*r + 3. Suppose -j = 1 - 6. Let b be l(j). Find the first derivative of u**b + 3*u + 2*u**3 - 1 - 3*u wrt u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 519453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*(-2)\/32)\/(107\/(11128\/130)).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 66\/349, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 0. Let z = 107 + -97. Suppose 2*x + 2 = -y, 0 = -2*x + x - 5*y - z. Solve 4*a + 4 = j, -4*d + a = -x*d - 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 961 divided by -79?\nAnswer: -961\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 1013435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**3 - 2*f**2 + 6*f + 9. Let k be a(-5). Calculate the highest common divisor of 189 and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10305 - 0.5?\nAnswer: -10305.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 7479, 59822, 201891, 478548, 934655, 1615074, 2564667?\n\"Answer: 7477*z**3 + z**2 + z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 69450, 555564, 1875006, 4444440, 8680530, 14999940, 23819334, 35555376?\n\"Answer: 69444*i**3 + 6*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c + 2*q - 7, -3*c - 5*q + 12 = -16. Let w be (-2 - 1)*c + (-1 - -3). Let d be 0*w\/9*-3. Solve -3*s = -d*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1398 to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 44 and 5243249.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.99 + -0.01. Suppose 3*c = -2*h + 7, -5*c + 17 = -2*c + 4*h. Let b(n) = -6*n - 1. Let u be b(c). What is the second biggest value in v, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 - 7. Let z(r) = -r**2 + 12*r - 10. Let j be z(11). Solve -5*u = -c*n + 6, -j - 1 = 2*n - 5*u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110101001 + -1010?\nAnswer: -1110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 184\/(-46)*1\/(2\/(-6)). What is the smallest common multiple of 84 and (-30)\/(-5) + x + 3?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/(k\/(k*k*k**1)))*k)**(-2\/3)\/((k\/(k*k**4))\/k)**(1\/6) assuming k is positive.\nAnswer: k**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -42, 7518, -0.09, 0.5?\nAnswer: 7518","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of -149*r**7\/105 + r**6\/60 + 1281*r**4\/8 + 8*r**2 + 2*r. What is the second derivative of b(j) wrt j?\nAnswer: -3576*j**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 - 562*r - 71148. Give b(-106).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (14\/(-8))\/(5\/20). Let z = t - -12. Let q(a) = -2*a + 6. Let c(y) = -y + 4. Let d(x) = z*q(x) - 8*c(x). What is d(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 297 or 303?\nAnswer: 303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**2\/2 + 12663*o\/2 - 22154445.\nAnswer: 3*(o - 2274)*(o + 6495)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 5*s + 7 - 7*s)*(-6*s + s - s)*(-4 + 2 + 1).\nAnswer: -12*s**2 - 36*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -30 - -11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*g - g + 3 + 1 + 3*g.\nAnswer: -4*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k**3 + 1003*k**4 - 2013*k**4 - k**2 + 1009*k**4 = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 + 7*x**2 - 10*x - 6. Determine l(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 56681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -60*m + 10 + 101*m**4 - m**2 + 113*m - 3*m**3 - 8 - 53*m in the form s*m + r*m**2 + c*m**3 + z + q*m**4 and give q.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.29 and -311488.\nAnswer: 90331.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -155170*n**3 - 4463 + 4463.\nAnswer: -155170*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) 3  (b) -2\/11  (c) 0.2  (d) 2592  (e) 1  (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53 is divided by -2 + 4 + (-50)\/(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iiiy when four letters picked without replacement from iyyiyiyy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 838.6351 millilitres to litres.\nAnswer: 0.8386351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -3*f**2 + 30*f + 238. Calculate g(16).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 79 + -34. Let a = d + -40. What is the lowest common multiple of a and 3\/3*4*2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/91, 6, 6\/19?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 7*s + 11. Let n(z) = -z + 3. Calculate -3*n(u) - o(u).\nAnswer: -4*u - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*q**2\/4 - 85*q\/4 - 345\/2 = 0. What is q?\nAnswer: -6, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(192) + -1))**2.\nAnswer: -16*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5614688 to the power of 1\/2, to the nearest integer?\nAnswer: 2370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 269386033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 + 68b682b4?\nAnswer: 68b682b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2662122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 7*j + 6. Let x be (-10)\/4 - 3\/(-2). Let k(w) = -w - 1. What is x*z(n) - 5*k(n)?\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -90*t**3 - 9*t**2 - t - 69. Is g(-8) a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 24.526 - 9.526. What is the nearest to -0.13 in 0.1, 6\/7, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (74\/(-2))\/111 + (-172)\/(-12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, 5, 1965, -2, 3, -3, -17 in ascending order.\nAnswer: -17, -16, -3, -2, 3, 5, 1965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/4 at most as big as -0.113563209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 divided by 60?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the third derivative of -1\/24*j**4 - 2\/3*j**3 + 0*j - 2*j**2 + 0. Let y(k) = 3. What is -3*n(u) - 4*y(u)?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8\/(-6)*(-4350)\/4. Suppose -5*i + m = -5*b, 0*i = 2*i - b - 585. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11429 is divided by 244?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:51 PM and 7:07 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82*c + 3*v - 2974 = -84*c, -7*c + v = -10478. What is the greatest common divisor of c and 476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 359*u + 311*u + 368*u - 903*u.\nAnswer: 135*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 114 - 243 + 14*z**3 + 79*z - 2*z**4 + 129 - 22*z**2 - 69*z.\nAnswer: -2*z*(z - 5)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 7 - 2*a)*(-1 + 5 - 3)*(-18 - 81 - 31).\nAnswer: 260*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5 + 1 - -4)\/(-1). Suppose -4*x - 2*j = -620, i = 13*x - 16*x - 3*j + 462. Let p be (5\/(-3))\/((-4)\/x). What is the highest common factor of p and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*a + 24*a - 5*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five eighths of a millennium in years?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 713840442 to the power of 1\/4, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(114) - (sqrt(114)*3 + sqrt(114)))*2 + sqrt(114) + 3*sqrt(114)*-4)\/((sqrt(540)*-1)\/(sqrt(30)\/(sqrt(3)*-1))).\nAnswer: -68*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1083612331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/265 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 60 + -48. Let h = -33 + n. Does 18 divide (h\/(-5) + -5)\/((-2)\/395)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i**(3\/11)\/i*i*i)*i*i**(-7\/3)*(i*i**1*i*i)**(-47))**(-1\/10) assuming i is positive.\nAnswer: i**(6257\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2061 a factor of 289916748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -425*b*u**4 - 675*b*u**2 + b + u**6 + u**2 wrt u?\nAnswer: -10200*b*u + 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22121 + -11221?\nAnswer: -111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 464659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -160, 31, -1, 0.\nAnswer: -160, -1, 0, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3.640576 and -2?\nAnswer: 1.640576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*l**5 + 2*l**5 - 4*l**5 + (-2 + 2 - 3*l**3)*(-6*l**2 + 8*l**2 - 1 - 7).\nAnswer: -5*l**5 + 24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 188741 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 62*b**2 - 4*b - 7. Let v(z) = 64*z**2 - 5*z - 8. Give -7*p(f) + 6*v(f).\nAnswer: -50*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1\/56 - -79\/84. What is the common denominator of 26\/45 and v?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 6:03 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 100 - 97. Suppose 89 = -c - 0*h + h, 0 = -v*c + 4*h - 272. Let z = c + 84. Solve z = -2*b - 3*b - k + 14, 0 = 2*k + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000559548788 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -467517, -935032, -1402547, -1870062?\n\"Answer: -467515*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*v + 21533 = -3679. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 301 times -1.4\nAnswer: -421.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j - 1. Let g(u) = u**2 - 3*u - 3. Calculate g(m) - 2*t(m).\nAnswer: m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - (3 + -11 + 45).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, 1\/4, 42, -36039, -0.5?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes before 7:08 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -6, -828 in decreasing order.\nAnswer: -3, -6, -828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + 2*i + 4. Suppose -5*p = -r + 12, 0 - i = -5*r - 4*p. Differentiate -1 + 4 - r - n wrt n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -876642 - -2111754. Let z = t + -1235102.000068. Let b = z + -10. What is b rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 + (-1 - (36 - 38))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 879129 and 1219.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*t - 2740 = 2*t + 4*t. What is the remainder when t is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*d = 49 - 85 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3088 + 10598. List the prime factors of k.\nAnswer: 2, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1114 is divided by 220.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-376 + 378)*42\/(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mbmpmbciypp. Give prob of picking 1 p and 1 b.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 11) in base 13?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from leeelelllllllellel. What is prob of sequence ele?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - w**2 - 2)*(-3 + 3 - 3*w) + (-21 + 14 + 0)*(0*w**3 + 0*w**3 - 2*w**3).\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-3)*3\/15*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 172914 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + -4. Let g be 4654\/546 - 2\/3 - 8. Let y = -25.7 + 29.7. What is the closest to y in g, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 3*j = -42. Suppose 0 = 2*q + 2*q + 8. Let u = q + 4. What is the greatest common divisor of j and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 22, -5216, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 + 2 = 4*k. Let o = 1490 - 1488. Which is the smallest value?  (a) o  (b) -2\/17  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 10871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/139 and 67\/556.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-6) - 385\/231.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 98, 198, 298, 398, 498?\n\"Answer: 100*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8626123 decades in centuries?\nAnswer: 0.08626123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 992\/(-248) + 21\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + sqrt(612))**2*-4 + -2.\nAnswer: -3334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12050587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, -0.2, 1, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11099.096 - -11160. Let b = -61 + p. Round b to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (35\/(-12495)*-84)\/34?\nAnswer: 2\/289","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d = 5*u - 0*d, d - 5 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes before 5:27 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-33)\/12 - 2*(-1)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1720 and 42140?\nAnswer: 84280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2416215007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 90\/(-270) - (-8)\/(-3) - 0. Let u be 5*(-3)\/(-30)*6. Sort b, 2, u, -5 in increasing order.\nAnswer: -5, b, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 2464*i**4 - 4*i**2 - 2588*i + 2. Let m(z) = -2465*z**4 + 6*z**2 + 2589*z - 3. Let u(p) = -3*a(p) - 2*m(p). Find the second derivative of u(k) wrt k.\nAnswer: -29544*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1326)\/41769)\/((-2)\/(-9))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 26\/(1*(3 - 4)). Let x = v + 47. What is the highest common factor of 14 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-114 + 114 + 15*w)*(-26 + 4 + 136)*(w - 3*w + 0*w) in the form u*w + i + m*w**2 and give m.\nAnswer: -3420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -3\/4, 5, -1, -605?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the third derivative of 7*b**4\/12 - 6*b**2. Let j be n(9). Calculate the highest common factor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 - 2 = 2*b. Let o(x) = -x**3 + 5*x**2 - 2*x + 2. What is the smallest common multiple of 16 and o(b)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 992970 = -53*r + 98*r. What is the greatest common divisor of 22 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 300 and 100600.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**1\/t)**(1\/40)\/(t\/(t**(2\/3)*t*t)*t**(-4\/5)*t) assuming t is positive.\nAnswer: t**(179\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -27226, -27247, -27268, -27289?\n\"Answer: -21*k - 27205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111 (base 2) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 116 + -111. Suppose -102 = -q*p - 12. What is the greatest common divisor of 288 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 343604, 343601, 343608, 343631, 343676, 343749, 343856, 344003?\n\"Answer: n**3 - n**2 - 7*n + 343611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44)\/sqrt(4)*-1)**2*5.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3292445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (8 + 6528*j + j**2 - 6528*j)*(3 - 3 + j)*(-3*j - 2*j + 246 - 244) as s + z*j + q*j**2 + h*j**4 + c*j**3 and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2168201*a**2*f**2 + 2*a*f**2 + 21*a*f - 32*a - f**2 + 12 wrt a?\nAnswer: -4336402*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 AM and 1:45 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 1\/13, -0.02407, -2\/3?\nAnswer: -0.02407","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*(h*(h**(1\/33)*h)\/h)\/h)\/h)\/((h\/(h**(1\/25)*h))\/h*h))\/(h*h**(-4))**(6\/11) assuming h is positive.\nAnswer: h**(128\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*m + 8*f - 10*f, -2*m = -4*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 163 + -165. Which is the second biggest value?  (a) -3  (b) 1  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*l + 38*l - 5 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 114 - 106. Suppose -s*a = -10*a - 4. Let q(b) = 3*b**2 + 8*b + 4. Let d be q(a). Solve d = 3*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and -0.3391392.\nAnswer: -1.3565568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * 323.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 2  (b) 1.6  (c) 9  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18059 - -18063. Let j = 5.8 - 3.8. Let g = -0.3 + 1.3. Which is the smallest value?  (a) j  (b) g  (c) h  (d) -56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 13682 and -3246.4.\nAnswer: -44417244.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 5*i + 105 = 0, 8*a - 89 = 4*a - i. Solve -17*y - a = 29 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**3 - 5*p**2 + 4*p. Suppose -5*c = -5*x - 5, -15*c + 11*c + 14 = x. What is i(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 + 50*a**2 - 608*a + 91. Determine p(20).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -2*z**2 - 73*z - 2. Let m(j) = -j**2 - 71*j - 2. Give -5*m(b) + 4*p(b).\nAnswer: -3*b**2 + 63*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -43239088.45 + 43239081.828347986. Let j = -0.621651594 - h. Let a = j - 6. Round a to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 18*k - 590. Calculate j(29).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -52\/235 and 123\/20.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 22, 0, -2\/23, 4, -1\/6 in increasing order.\nAnswer: -4, -1\/6, -2\/23, 0, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -534555 (base 6) to base 3.\nAnswer: -2020010222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {j: 1, u: 7}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28 - 10 + 9*h**3 + 20*h**3.\nAnswer: 29*h**3 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -57508161 + -5.\nAnswer: -57508166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 + -244. Let s = 246 + o. What is the smallest common multiple of 12 and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -232*q**4 + 101*q**4 + 1384*q**4 + (q + q + 0*q)*(-q**3 - 2*q**3 + q**3) + 2*q**4 - 3*q**4 + 3*q**4.\nAnswer: 1251*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**2 - 55*u + 169. What is r(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*o - 10 = 2*o, -4*n + 21 = -o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = 11*s + 3*s. Calculate the highest common divisor of 15 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.31 - -7.31. What is the second biggest value in 13\/10, n, 2\/3?\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v + 2*v**3 - 2*v)*(-22 + 71 + 66).\nAnswer: 230*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k + 5*k + k)*(-3 + 1 + 4)*(6 + 0 - 5)*(-11*k**4 - 5*k**2 + 5*k**2).\nAnswer: -176*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 388856 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*n + 88572 = -4416. List the prime factors of n.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8400 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1 from -267076.16.\nAnswer: -267075.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -5*z**2 - 78*z - 3. Let j(t) = -t**2 + t - 1. Give 3*j(c) - s(c).\nAnswer: 2*c**2 + 81*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.1 + -0.7. Suppose 5 = 3*o - 5*x, 2*x = 6*x - 8. What is the third smallest value in o, 1\/3, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3315 and 534719445.\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10\/23 in 16\/7, -0.00471, 6?\nAnswer: -0.00471","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9059 a factor of 1955548955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(11\/(165\/(-9)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2926 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20)\/(sqrt(10)*1) + 0 + sqrt(72) + 3)*2.\nAnswer: 6 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 4*y - 6, 0*y + 2*j - 5 = -3*y. Suppose -y*q + 14 = 2, 239988 = 3*g - 3*q. What is g rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -656*z = 190*z + 7301 + 48535 for z.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*s + 66*s - 46728. Does 36 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - v - 2 + 5 = 0, 5 = 5*c - 3*v. Let y be (c - 1\/2)*2. Let m = 28\/19 + -176\/171. Do m and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2540, -6150, -12158, -20564?\nAnswer: -31368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}